Midterm Review - Chapters 21-28

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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 1/46 Midterm Review - Chapters 21-28 Due: 11:59pm on Monday, June 20, 2022 To understand how points are awarded, read the Grading Policy for this assignment. Conceptual Question 21.03 Part A When two point charges are a distance part, the electric force that each one feels from the other has magnitude . In order to make this force twice as strong, the distance would have to be changed to ANSWER: Problem 21.01 Part A A piece of plastic has a net charge of +2.00 μC. How many more protons than electrons does this piece of plastic have? ( e = 1.60 × 10 -19 C) ANSWER: 2 . . /2. /4. / 1.25 × 10 19 2.50 × 10 19 2.50 × 10 13 1.25 × 10 13
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 2/46 Problem 21.03 Part A When two point charges are 2.0 cm apart, each one experiences a 1.0-N electric force due to the other charge. If they are moved to a new separation of 8.0 cm, the electric force on each of them is closest to ANSWER: Problem 21.11 Part A The figure shows two tiny 5.0-g spheres suspended from two very thin 1.0-m-long threads. The spheres repel each other after being charged to +55 nC and hang at rest as shown. What is the angle θ ? ( k = 1/4 πε 0 = 8.99 × 10 9 N · m 2 /C 2 ) ANSWER: 4.0 N. 1.0 N. 16 N. 0.25 N. 0.063 N.
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 3/46 Problem 21.15 Part A An atomic nucleus has a charge of . What is the magnitude of the electric field at a distance of m from the center of the nucleus? ( N · m 2 /C 2 , C) ANSWER: Problem 21.18 Part A A metal sphere of radius cm carries a charge of μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point cm outside the sphere's surface? ( N · m 2 /C 2 ) ANSWER: 12° 8.7° 3.0° 5.9° N/C N/C N/C N/C N/C
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 4/46 Problem 21.20 Part A A small sphere with a mass of 441 g is moving upward along the vertical + -axis when it encounters an electric field of 5.00 N/C . If, due to this field, the sphere suddenly acquires a horizontal acceleration of 13.0 m/s 2 , what is the charge that it carries? ANSWER: Problem 21.22 Part A A point charge Q of mass 8.50 g hangs from the horizontal ceiling by a light 25.0-cm thread. When a horizontal electric field of magnitude 1750 N/C is turned on, the charge hangs away from the vertical as shown in the figure. The magnitude of Q is closest to N/C N/C N/C N/C N/C -1.15 C -1150 C 1150 C 1.15 C
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 5/46 ANSWER: Problem 21.38 Part A Two flat 4.0 cm × 4.0 cm electrodes carrying equal but opposite charges are spaced 2.0 mm apart with their midpoints opposite each other. Between the electrodes but not near their edges, the electric field strength is 5.9 × 10 6 N/C. What is the magnitude of the charge on each electrode? ( ε 0 = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: Problem 21.41 Part A 47.6 µC. 27.5 µC. 3.0 µC. 3.5 µC. 55.0 µC. 84 nC 70 nC 38 nC 42 nC
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 6/46 A pair of charged conducting plates produces a uniform field of N/C, directed to the right, between the plates. The separation of the plates is mm. An electron is projected from plate , directly toward plate , with an initial velocity of m/s, as shown in the figure. ( C, C 2 /N · m 2 , kg) The distance of closest approach of the electron to plate is nearest to ANSWER: Conceptual Question 22.04 Part A Consider a spherical Gaussian surface of radius centered at the origin. A charge is placed inside the sphere. To maximize the magnitude of the flux of the electric field through the Gaussian surface, the charge should be located ANSWER: mm. mm. mm. mm. mm. at = 0, = 0, = /2. at = /2, = 0, = 0. at the origin. at = 0, = /2, = 0. The charge can be located anywhere, since flux does not depend on the position of the charge as long as it is inside the sphere.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 7/46 Problem 22.05 Part A A charge = 2.00 μC is placed at the origin in a region where there is already a uniform electric field = (100 N/C) . Calculate the flux of the net electric field through a Gaussian sphere of radius = 10.0 cm centered at the origin. ( 0 = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: Problem 22.16 Part A Electric charge is uniformly distributed inside a nonconducting sphere of radius 0.30 m. The electric field at a point , which is 0.50 m from the center of the sphere, is 15,000 N/C and is directed radially outward. What is the maximum magnitude of the electric field due to this sphere? ANSWER: Problem 22.29 1.13 × 10 5 N · m 2 /C 2.26 × 10 5 N · m 2 /C 5.52 × 10 5 N · m 2 /C zero 48,000 N/C 42,000 N/C 30,000 N/C 36,000 N/C 25,000 N/C
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 8/46 Part A A hollow conducting spherical shell has radii of 0.80 m and 1.20 m, as shown in the figure. The sphere carries a net excess charge of -500 nC. A point charge of +300 nC is present at the center. ( = 1/4 π = 8.99 × 10 9 N · m 2 /C) The radial component of the electric field at a point that is 0.60 m from the center is closest to ANSWER: Problem 22.24 Part A As shown in the figure, a square insulating slab 5.0 mm thick measuring 2.0 m × 2.0 m has a charge of 8.0 × 10 -11 C distributed uniformly throughout its volume. Use Gauss's law to determine the electric field at point , which is located within the slab beneath its center, 1.0 mm from one of the faces. ( = 8.85 × 10 -12 C 2 /N · m 2 ) zero. +5000 N/C. -5000 N/C. +7500 N/C. -7500 N/C.
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 9/46 ANSWER: Problem 22.19 Part A The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -10 nC/m and the linear charge density on the outer conductor is -80 nC/m. The inner and outer cylindrical surfaces are respectively denoted by A , B , C , and D , as shown. ( ε 0 = 8.85 × 10 -12 C 2 /N · m 2 ) The radial component of the electric field at a point that 43 mm from the axis is closest to 34 N/C 57 N/C 14 N/C 23 N/C 0.68 N/C
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 10/46 ANSWER: Problem 22.09 Part A Two concentric spheres are shown in the figure. The inner sphere is a solid nonconductor and carries a charge of +5.00 µC uniformly distributed over its outer surface. The outer sphere is a conducting shell that carries a net charge of -8.00 µC. No other charges are present. The radii shown in the figure have the values 1 = 10.0 cm, 2 = 20.0 cm, and 3 = 30.0 cm. ( = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 ) +3.3×10 4 N/C. +4200 N/C. -3.3×10 4 N/C. -4200 N/C. zero
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 11/46 (a) Find the total excess charge on the inner surfaces of the conducting sphere. ANSWER: Part B (b) Find the total excess charge on the outer surfaces of the conducting sphere. ANSWER: Part C (c) Find the magnitude of the electric field at the distance = 9.5 cm from the center of the inner sphere. ANSWER: Part D (d) Find the direction of the electric field at the distance = 9.5 cm from the center of the inner sphere. ANSWER: Part E (e) Find the magnitude of the electric field at the distance = 15 cm from the center of the inner sphere. µC µC N/C radially outward radially inward none of the above
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 12/46 ANSWER: Part F (f) Find the direction of the electric field at the distance = 15 cm from the center of the inner sphere. ANSWER: Part G (g) Find the magnitude of the electric field at the distance = 27 cm from the center of the inner sphere. ANSWER: Part H (h) Find the direction of the electric field at the distance = 27 cm from the center of the inner sphere. ANSWER: Part I (i) Find the magnitude of the electric field at the distance = 35 cm from the center of the inner sphere. ANSWER: Part J (j) Find the direction of the electric field at the distance = 35 cm from the center of the inner sphere. ANSWER: N/C radially outward none of the above radially inward N/C radially outward radially inward none of the above N/C
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 13/46 Conceptual Question 23.07 Part A Which statements are true for an electron moving in the direction of an electric field? (There may be more than one correct choice.) Choose all that apply. ANSWER: Conceptual Question 23.13 Part A A nonconducting sphere contains positive charge distributed uniformly throughout its volume. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinity. (There may be more than one correct choice.) Choose all that apply. ANSWER: radially inward none of the above radially outward Its kinetic energy decreases as it moves in the direction of the electric field. Its kinetic energy increases as it moves in the direction of the electric field. Its electric potential energy increases as it goes from high to low potential. Its potential energy increases as its kinetic energy decreases. Its electric potential energy decreases as it goes from high to low potential.
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 14/46 Conceptual Question 23.17 Part A The graph in the figure shows the variation of the electric potential ( ) (in arbitrary units) as a function of the position (also in arbitrary units). Which of the choices below correctly describes the orientation of the x- component of the electric field along the x- axis? ANSWER: Problem 23.07 The potential at the center of the sphere is the same as the potential at the surface. The potential at the surface is higher then the potential at the center. The potential at the center is the same as the potential at infinity. The potential is highest at the center of the sphere. The potential at the center of the sphere is zero. E x is negative from = -2 to = 0, and positive from x = 0 to = 2. E x is negative from = -2 to = 2. E x is positive from = -2 to = 2. E x is positive from = -2 to = 0, and negative from = 0 to x = 2.
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 15/46 Part A Two point charges of +2.0 μC and -6.0 μC are located on the -axis at = -1.0 cm and = +2.0 cm respectively. Where should a third charge of +3.0-μC be placed on the + -axis so that the potential at the origin is equal to zero? ( = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 ) ANSWER: Problem 23.12 Part A Two point charges of +1.0 μC and -2.0 μC are located 0.50 m apart. What is the minimum amount of work needed to move the charges apart to double the distance between them? ( = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 ) ANSWER: Problem 23.14 = 3.0 cm = 1.0 cm = 2.0 cm = 4.0 cm = 5.0 cm +36 mJ +18 mJ -18 mJ 0 mJ -36 mJ
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 16/46 Part A If an electron is accelerated from rest through a potential difference of 9.9 kV, what is its resulting speed? ( = 1.60 × 10 -19 C, = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 , el = 9.11 x 10 -31 kg) ANSWER: Problem 23.18 Part A A tiny object carrying a charge of +81 μC and a second tiny charged object are initially very far apart. If it takes 26 J of work to bring them to a final configuration in which the +81 μC object i is at x = 1.00 mm , y = 1.00 mm , and the other charged object is at x = 1.00 mm , y = 3.00 mm (Cartesian coordinate system), find the magnitude of the charge on the second object. ( k = 1/4 πε 0 = 8.99 × 10 9 N · m 2 /C 2 ) ANSWER: Problem 23.20 Part A An alpha particle is a nucleus of helium. It has twice the charge and four times the mass of the proton. When they were very far away from each other, but headed toward directly each other, a proton and an alpha particle each had an initial speed of 2.9 × 10 7 m/s 4.9 × 10 7 m/s 3.9 × 10 7 m/s 5.9 × 10 7 m/s 0.36 μC 7×10 −2 μC 0.14 μC 0.14 nC
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 17/46 3.2×10 −3 c , where c is the speed of light. What is their distance of closest approach? There are two conserved quantities. Make use of both of them. ( c = 3.00 × 10 8 m/s, k = 1/4 πε 0 = 8.99 × 10 9 N · m 2 /C 2 , e = 1.60 × 10 -19 C, m proton = 1.67 x 10 - 27 kg ) ANSWER: Problem 23.23 Part A A conducting sphere is charged up such that the potential on its surface is 100 V (relative to infinity). If the sphere's radius were twice as large, but the charge on the sphere were the same, what would be the potential on the surface relative to infinity? ANSWER: Problem 23.27 Part A Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The electric potential of the inner conductor, with respect to the outer conductor, is +600 V. An electron is released from rest at the surface of the outer conductor. What is the speed of the electron as it reaches the inner conductor? ( = 1.60 × 10 -19 C, el = 9.11 x 10 -31 kg, = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 ) 2.6×10 −13 m 1.9×10 −13 m 2.3×10 −13 m 2.9×10 −13 m 200 V 25 V 50 V 100 V
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 18/46 ANSWER: Problem 23.31 Part A Two large conducting parallel plates and are separated by 2.4 m. A uniform field of 1500 V/m, in the positive - direction, is produced by charges on the plates. The center plane at = 0.00 m is an equipotential surface on which = 0. An electron is projected from = 0.00 m, with an initial velocity of 1.0 × 10 7 m/s perpendicular to the plates in the positive -direction, as shown in the figure. What is the kinetic energy of the electron as it reaches plate ? ( = 1.60 × 10 -19 C, el = 9.11 x 10 -31 kg) ANSWER: 1.9 × 10 7 m/s 1.7 × 10 7 m/s 1.3 × 10 7 m/s 1.5 × 10 7 m/s 1.1 × 10 7 m/s -2.4 × 10 -16 J +3.3 × 10 -16 J -3.3 × 10 -16 J +2.4 × 10 -16 J -2.9 × 10 -16 J
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 19/46 Problem 23.33 Part A A charge = -610 nC is uniformly distributed on a ring of 2.4-m radius. A point charge = +480 nC is fixed at the center of the ring, as shown in the figure. An electron is projected from infinity toward the ring along the axis of the ring. This electron comes to a momentary halt at a point on the axis that is 5.0 m from the center of the ring. What is the initial speed of the electron at infinity? ( = 1.60 × 10 -19 C, = 1/4 π = 8.99 × 10 9 N · m 2 /C 2 , el = 9.11 x 10 -31 kg) ANSWER: Problem 23.35 Part A If the potential in a region is given by , then the component of the electric field in that region is ANSWER: 1.1 × 10 6 m/s 4.5 × 10 6 m/s 2.2 × 10 6 m/s 6.6 × 10 6 m/s 3.4 × 10 6 m/s
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 20/46 Conceptual Question 24.07 Part A In the circuit shown in the figure, the capacitors are initially uncharged. The switch is first thrown to position and kept there for a long time. It is then thrown to position . Let the charges on the capacitors be 1 , 2 , and 3 and the potential differences across them be 1 , 2 , and 3 . Which of the following conditions must be true with the switch in position B ? ANSWER: Problem 24.02 Part A . . . . 1 + 2 = 3 3 = 0 1 = 2 = 3 1 = 2 = 3 1 + 2 = 3
6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 21/46 Each plate of a parallel-plate air-filled capacitor has an area of 3×10 −3 m 2 , and the separation of the plates is 3×10 −2 mm . An electric field of 2.8 ×10 6 V/m is present between the plates. What is the surface charge density on the plates? ( ε 0 = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: Problem 24.09 Part A An air-filled capacitor is formed from two long conducting cylindrical shells that are coaxial and have radii of 16 mm and 91 mm. The electric potential of the inner conductor with respect to the outer conductor is -874 V ( = 1/4 πε 0 = 8.99 × 10 9 N · m 2 /C 2 ). The average energy density of the capacitor is closest to ANSWER: Problem 24.15 62 µC/m 2 25 µC/m 2 53 µC/m 2 37 µC/m 2 12 µC/m 2 8.4×10 −4 J/m 3 . 2.4×10 −4 J/m 3 . 4.8×10 −4 J/m 3 . 5.5×10 −5 J/m 3 . 2.4×10 −3 J/m 3 .
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 22/46 Part A The capacitive network shown in the figure is assembled with initially uncharged capacitors. A potential difference, V ab = +100V, is applied across the network. The switch in the network is kept open. Assume that all the capacitances shown are accurate to two significant figures. What is potential difference V cd across the open switch ? ANSWER: Problem 24.25 Part A A charge of 2.00 μC flows onto the plates of a capacitor when it is connected to a 12.0-V potential source. What is the minimum amount of work that must be done in charging this capacitor? ANSWER: 60 V 50 V 70 V 40 V 0 V
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 23/46 Problem 24.27 Part A Two square air-filled parallel plates that are initially uncharged are separated by 1.2 mm, and each of them has an area of 190 mm 2 . How much charge must be transferred from one plate to the other if 1.1 nJ of energy are to be stored in the plates? ( = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: Problem 24.31 Part A A parallel-plate capacitor with plate separation of 1.0 cm has square plates, each with an area of 6.0 × 10 -2 m 2 . What is the capacitance of this capacitor if a dielectric material with a dielectric constant of 2.4 is placed between the plates, completely filling them? ( = 8.85 × 10 -12 C 2 /N · m 2 ) ANSWER: 6.00 µJ 144 µJ 12.0 µJ 576 µJ 24.0 µJ 39 pC 56 pC 78 pC 3.5 µC
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 24/46 Conceptual Question 25.05 Part A A cylindrical wire has a resistance and resistivity . (a) If its length and diameter are BOTH cut in half, what will be its resistance? ANSWER: Part B (b) If its length and diameter are BOTH cut in half, what will be its resistivity? ANSWER: 15 × 10 -14 F 1.3 × 10 -12 F 1.3 × 10 -10 F 15 × 10 -12 F 64 × 10 -14 F
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 25/46 Problem 25.01 Part A An electric device delivers a current of 3 A to a device. How many electrons flow through this device in 8 s? ( = 1.60 × 10 - 19 C) ANSWER: Problem 25.06 Part A In an electroplating process, copper (ionic charge +2 , atomic weight 63.6 g/mol) is deposited using a current of 10.0 A. What mass of copper is deposited in 10.0 minutes? Avogadro's number is 6.022 × 10 23 molecules/mol and e = 1.60 × 10 -19 C. ANSWER: Problem 25.08 1.5×10 18 3×10 19 7.5×10 19 2.4×10 20 1.5×10 20 2.52 g 1.98 g 0.99 g 2.52 g 3.96 g
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 26/46 Part A If a current of 2.4 A is flowing in a cylindrical wire of diameter 2.0 mm, what is the average current density in this wire? ANSWER: Problem 25.29 Part A When a voltage difference is applied to a piece of metal wire, a 4-mA current flows through it. If this metal wire is now replaced with a silver wire having twice the diameter of the original wire, how much current will flow through the silver wire? The lengths of both wires are the same, and the voltage difference remains unchanged. (The resistivity of the original metal is 1.68 × 10 -8 Ω · m, and the resistivity of silver is 1.59 × 10 -8 Ω · m.) ANSWER: Problem 25.35 1.9 × 10 5 A/m 2 5.2 × 10 -6 A/m 2 7.6 × 10 5 A/m 2 3.6 × 10 5 A/m 2 21 × 10 -6 A/m 2 15 mA 17 mA 4.2 mA 8.5 mA
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 27/46 Part A A 1500-W heater is connected to a 120-V line. How much heat energy does it produce in 2.0 hours? ANSWER: Problem 25.39 Part A The voltage and power ratings of a particular light bulb, which are its normal operating values, are 110 V and 60 W. Assume the resistance of the filament of the bulb is constant and is independent of operating conditions. If the light bulb is operated at a reduced voltage and the power drawn by the bulb is 36 W, what is the operating voltage of the bulb? ANSWER: Problem 25.15 Part A 0.18 MJ 1.5 kJ 11 MJ 18 MJ 3.0 kJ 66 V 72 V 78 V 85 V 90 V
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 28/46 Building codes usually limit the current carried by a No. 14 copper wire to 15 A. Many household circuits are wired with this size wire. What is the drift velocity of the electrons in this case? The diameter of this wire is 1.6 mm. Assume one conduction electron per atom in copper. The atomic weight of copper is 63.3 g/mol and its density is 8900 kg/m 3 . Avogadro's number is 6.022 × 10 23 molecules/mol and = 1.60 × 10 -19 C. ANSWER: Conceptual Question 26.01 Part A As more resistors are added in parallel across a constant voltage source, the power supplied by the source ANSWER: Problem 26.07 Part A Three resistors having resistances of 4.0 , 6.0 , and 10.0 are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0- resistor, what is the current through the 10.0- resistor? ANSWER: 1.65 × 10 -3 m/s 4.89 × 10 -5 m/s 5.51 × 10 -4 m/s 4.56 × 10 -4 m/s 4.44 × 10 -2 m/s decreases. does not change. increases.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 29/46 Problem 26.11 Part A Two identical resistors of resistance = 24 and a variable resistor R x are connected to an ideal battery of voltage as shown in the figure. What should be the value of the variable resistance R x to make the voltage across the two parallel resistors equal to . ANSWER: 16 A 2.7 A 0.59 A 11.2 A 6.4 A 8.0 24 40 16 4.0
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 30/46 Problem 26.13 Part A For the circuit shown in the figure, the current in the 8- resistor is 0.50 A, and all quantities are accurate to 2 significant figures. What is the current in the 2- resistor? ANSWER: Problem 26.19 Part A For the circuit shown in the figure, what is the current through resistor 1 ? 2.25 A 4.5 A 9.5 A 0.75 A 6.4 A
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 31/46 ANSWER: Problem 26.23 Part A A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. The current 2 is closest to ANSWER: 0.029 A 0.016 A 0.071 A 0.13 A 6 A. -8 A. -6 A. 8 A. zero.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 32/46 Problem 26.25 Part A A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current is closest to ANSWER: Problem 26.31 Part A A galvanometer has a coil with a resistance of 24.0 , and a current of 180 μA causes it to deflect full scale. If this galvanometer is to be used to construct an ammeter that can read up to 10.0 A, what shunt resistor is required? ANSWER: zero. +0.2 A. +0.4 A. -0.2 A. -0.4 A.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 33/46 Problem 26.35 Part A A 6.2-μF capacitor is connected in series with 2.1 MΩ resistor, and this combination is connected across an ideal 14-V DC battery. What is the current in the circuit when the capacitor has reached 25% of its maximum charge? ANSWER: Problem 26.39 Part A For the circuit shown in the figure, the switch is initially open and the capacitor is uncharged. The switch is then closed at time = 0. How many seconds after closing the switch will the energy stored in the capacitor be equal to 50.2 mJ? 123 µ 234 µ 423 µ 342 µ 432 µ 5.00 μA 6.67 μA 8.33 μA 0.806 μA zero
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 34/46 ANSWER: Conceptual Question 27.03 Part A Three particles travel through a region of space where the magnetic field is out of the page, as shown in the figure. The electric charge of each of the three particles is, respectively, ANSWER: 130 s 65 s 110 s 97 s 81 s
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 35/46 Problem 27.03 Part A A uniform magnetic field of magnitude 0.80 T in the negative z direction is present in a region of space, as shown in the figure. A uniform electric field is also present and is set at 76,000 V/m in the + direction. An electron is projected with an initial velocity 0 = 9.5 × 10 4 m/s in the + direction. The component of the initial force on the electron is closest to which of the following quantities? ( = 1.60 × 10 -19 C) ANSWER: Problem 27.07 1 is neutral, 2 is positive, and 3 is negative. 1 is negative, 2 is neutral, and 3 is positive. 1 is positive, 2 is neutral, and 3 is negative. 1 is neutral, 2 is negative, and 3 is positive. 1 is positive, 2 is negative, and 3 is neutral. +2.4 × 10 -14 N -2.4 × 10 -14 N -1.0 × 10 -14 N +1.0 × 10 -14 N zero
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 36/46 Part A A beam of electrons is accelerated through a potential difference of 10 kV before entering a region having uniform electric and magnetic fields that are perpendicular to each other and perpendicular to the direction in which the electron is moving. If the magnetic field in this region has a value of 0.010 T, what magnitude of the electric field is required if the particles are to be undeflected as they pass through the region? ANSWER: Problem 27.11 Part A An electron moving perpendicular to a uniform magnetic field of 3.2 × 10 -2 T moves in a circle of radius 0.40 cm. How fast is this electron moving? ( m el = 9.11 × 10 -31 kg, e = 1.60 × 10 -19 C) ANSWER: Problem 27.13 7.2 × 10 6 V/m 5.9 × 10 5 V/m 7.9 × 10 3 V/m 2.3 × 10 3 V/m 6.0 × 10 5 V/m 1.9 × 10 -30 m/s 3.0 × 10 6 m/s 1.9 × 10 -2 m/s 8.0 × 10 6 m/s 2.2 × 10 7 m/s
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 37/46 Part A A proton starting from rest travels through a potential of 1.0 kV and then moves into a uniform 0.040-T magnetic field. What is the radius of the proton's resulting orbit? ( proton = 1.67 × 10 -27 kg, = 1.60 × 10 -19 C) ANSWER: Problem 27.17 Part A A doubly charged ion (charge 2 e ) with velocity 6.9 × 10 6 m/s moves in a circular path of diameter 60.0 cm in a magnetic field of 0.80 T in a mass spectrometer. What is the mass of this ion? ( e = 1.60 × 10 -19 C) ANSWER: Problem 27.21 0.11 m 0.17 m 0.19 m 0.14 m 0.080 m 3.3 × 10 -27 kg 6.7 × 10 -27 kg 4.5 × 10 -27 kg 11 × 10 -27 kg 8.2 × 10 -27 kg
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 38/46 Part A A straight wire that is 0.60 m long is carrying a current of 2.0 A. It is placed in a uniform magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the magnetic field? ANSWER: Problem 27.27 Part A A wire segment 1.2 m long carries a current = 3.5 A, and is oriented as shown in the figure. The + x- axis points directly into the page. A uniform magnetic field of magnitude 0.50 T pointing toward the - direction is present as shown. What is the magnetic force vector on the wire segment? ANSWER: Problem 27.31 60° 90° 35° 30° 25° (-1.1 - 1.8 ) N (-1.1 + 1.8 ) N (+1.8 - 1.1 ) N (+1.1 - 1.8 ) N (-1.8 + 1.1 ) N
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 39/46 Part A A circular loop of diameter 10 cm, carrying a current of 0.20 A, is placed inside a magnetic field T . The normal to the loop is parallel to a unit vector . Calculate the magnitude of the torque on the loop due to the magnetic field. ANSWER: Problem 27.33 Part A A rigid circular loop has a radius of 0.20 m and is in the xy -plane. A clockwise current is carried by the loop, as shown. The magnitude of the magnetic moment of the loop is 0.75 A · m 2 . A uniform external magnetic field, = 0.20 T in the positive -direction, is present. (a) What is the current in the loop? ANSWER: 0.60 × 10 -4 N · m 1.2 × 10 -4 N · m 2.8 × 10 -4 N · m 4.7 × 10 -4 N · m zero A
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 40/46 Part B (b) Find the magnitude of the magnetic torque exerted on the loop. ANSWER: Part C (c) If the loop is released from rest, in what direction will points and initially move? ANSWER: Conceptual Question 28.01 Part A A vertical wire carries a current straight down. To the east of this wire, the magnetic field points ANSWER: Conceptual Question 28.03 moves out of the plane and moves into the plane moves into of the plane and moves out the plane moves into of the plane and moves into the plane moves out of the plane and moves out the plane none of the above downward. toward the south. toward the east. toward the north. toward the west.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 41/46 Part A A horizontal wire carries a current straight toward you. From your point of view, the magnetic field at a point directly below the wire points ANSWER: Conceptual Question 28.09 Part A Two very long parallel wires in the xy -plane, a distance 2 apart, are parallel to the y- axis and carry equal currents as shown in the figure. The + direction points perpendicular to the xy -plane in a right-handed coordinate system. If both currents flow in the + direction, which one of the graphs shown in the figure below best represents the component of the net magnetic field, in the xy -plane, as a function of ? ( Caution: These graphs are not magnetic field lines.) vertically upward. to the left. directly toward you. directly away from you. to the right.
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 42/46 ANSWER: Conceptual Question 28.18 1 2 3 4 5
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 43/46 Part A Consider a solenoid of length , windings, and radius ( is much longer than ). A current is flowing through the wire. If the length of the solenoid became twice as long ( 2L ), and all other quantities remained the same, the magnetic field inside the solenoid would ANSWER: Problem 28.03 Part A At what distance from the central axis of a long straight thin wire carrying a current of 5.0 A is the magnitude of the magnetic field due to the wire equal to the strength of the Earth's magnetic field of about 5.0 × 10 -5 T? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Problem 28.10 Part A As shown in the figure, two long straight wires are separated by a distance of d = 0.6 m. The currents are I 1 = 2.0 A to the right in the upper wire and I 2 = 8.0 A to the left in the lower wire. What are the magnitude of the magnetic field at point P , which is a distance d /2 = 0.30 m below the lower wire? (μ 0 = 4π × 10 -7 T · m/A) become one half as strong. become twice as strong. remain the same. 1.0 cm 3.0 cm 5.0 cm 2.0 cm 4.0 cm
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 44/46 Express your answer using two significant figures. ANSWER: Part B What are the direction of the magnetic field at point P ? ANSWER: Problem 28.14 Part A A circular loop of wire of radius 10 cm carries a current of 6.0 A. What is the magnitude of the magnetic field at the center of the loop? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: B = T directed out of the plane of the screen directed into the plane of the screen 3.8 × 10 -8 T 1.2 × 10 -5 T 3.8 × 10 -7 T 3.8 × 10 -5 T 1.2 × 10 -7 T
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 45/46 Problem 28.27 Part A A hollow cylinder with an inner radius of 5 mm and an outer radius of 25 mm conducts a 4-A current flowing parallel to the axis of the cylinder. If the current density is uniform throughout the wire, what is the magnitude of the magnetic field at a point 17 mm from its center? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Problem 28.22 Part A A type of transmission line for electromagnetic waves consists of two parallel conducting plates (assumed infinite in width) separated by a distance . Each plate carries the same uniform surface current density of 16.0 A/m, but the currents run in opposite directions. What is the magnitude of the magnetic field between the plates at a point 1.00 mm from one of the plates if = 0.800 cm? ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: 2.1×10 −5 T 1.5×10 −5 T 3.4×10 −5 T 2.7×10 −5 T 4.63 × 10 -5 T 7.07 × 10 -4 T 1.00 × 10 -5 T 2.01 × 10 -5 T 3.20 × 10 -3 T
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6/20/22, 5:24 PM Midterm Review - Chapters 21-28 https://session.masteringphysics.com/myct/assignmentPrintView?assignmentID=9939575 46/46 Problem 28.26 Part A A long, straight wire with 4 A current flowing through it produces magnetic field strength 2 T at its surface. If the wire has a radius R , where within the wire is the field strength equal to 89 % of the field strength at the surface of the wire? Assume that the current density is uniform throughout the wire. ( μ 0 = 4 π × 10 -7 T · m/A) ANSWER: Score Summary: Your score on this assignment is 0.0%. You received 0 out of a possible total of 100 points. 0.11 R 9.0×10 −2 R 0.89 R 1.0×10 −2 R
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