EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Question
Chapter 31, Problem 31.40P
(a)
To determine
The magnitude of electric field at point
(b)
To determine
The direction of electric field at point
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Problem 2: An electric current I0.85 A is flowing in a long wire. Consider a
rectangular area with one side parallel to the wire and at a distance 0.043 m away from
the wire. Let the dimensions of the rectangle be a 0.024 m and b-0.057 m
Part (a) Express the magnitude of the magnetic field generated by the wire B at a
distance r in terms of I and r.
B(r)
Но
4 5 6
BACKSPAC
CLEAR
Submit
Hint
I give up!
Hints: 1% deduction per hint. Hints remaining: 3
Feedback: 1% deduction per feedback.
Part (b) Express the magnetic flux, ф, in the rectangle as an integral of B(r)
A Part (c) Integrate the expression in part (b)
圖 Part (d) Calculate the numerical value of φ in T-m2.
Problem 4. A magnetic field directed into the page changes with time according to B = 2.0t³ - 4.0ť² +
3.0, where B is in tesla and t is in seconds. The field has a circular cross section of radius R = 2.5 cm
(see figure below).
(a) When t= 1.00 s and r₁= 5.0 cm, what are the magnitude and the direction of the electric field at point
P₁?
(b)When t = 2.00 s and r2 = 2.0 cm, what are the magnitude and the direction of the electric field at point
P₂?
xxxxx
xxxxx
xxxx** **
xxx
T97
xxx
R
x
xxxxx
******
xxxxx
Bin
n
P₁
An electric current I = 0.35 A is flowing in an infinitely long wire.
Part (a) Write an equation for the magnetic field vector B generated by the current an an arbitrary point in terms of I, the length element dl, and the vector for the distance R from dl to the point.
Part (b) If the distance from point A to the wire is a as in the figure, write an equation for the magnitude of the magnetic field |B| generated by the current at A in terms of I and a.
Part (c) If a = 0.065 m, calculate the numerical value of B in tesla.
Chapter 31 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 31 - A circular loop of wire is held in a uniform...Ch. 31 - In Figure 30.8a, a given applied force of...Ch. 31 - Figure 30.12 Figure 30.12 shows a circular loop of...Ch. 31 - Prob. 31.4QQCh. 31 - In an equal-arm balance from the early 20th...Ch. 31 - Figure OQS1.I is a graph of the magnetic flux...Ch. 31 - Prob. 31.2OQCh. 31 - A rectangular conducting loop is placed near a...Ch. 31 - A circular loop of wire with a radius of 4.0 cm is...Ch. 31 - A square, flat loop of wire is pulled at constant...
Ch. 31 - The bar in Figure OQ31.6 moves on rails to the...Ch. 31 - A bar magnet is held in a vertical orientation...Ch. 31 - What happens to the amplitude of the induced emf...Ch. 31 - Two coils are placed near each other as shown in...Ch. 31 - A circuit consists of a conducting movable bar and...Ch. 31 - Two rectangular loops of wire lie in the same...Ch. 31 - In Section 7.7, we defined conservative and...Ch. 31 - A spacecraft orbiting the Earth has a coil of wire...Ch. 31 - In a hydroelectric dam, how is energy produced...Ch. 31 - A bar magnet is dropped toward a conducting ring...Ch. 31 - A circular loop of wire is located in a uniform...Ch. 31 - A piece of aluminum is dropped vertically downward...Ch. 31 - Prob. 31.7CQCh. 31 - When the switch in Figure CQ31.8a is closed, a...Ch. 31 - Prob. 31.9CQCh. 31 - A loop of wire is moving near a long, straight...Ch. 31 - A flat loop of wire consisting of a single turn of...Ch. 31 - An instrument based on induced emf has been used...Ch. 31 - Transcranial magnetic stimulation (TMS) is a...Ch. 31 - A 25-turn circular coil of wire has diameter 1.00...Ch. 31 - A circular loop of wire of radius 12.0 cm is...Ch. 31 - A circular loop of wire of radius 12.0 cm is...Ch. 31 - Prob. 31.7PCh. 31 - A strong electromagnet produces a uniform magnetic...Ch. 31 - A 30-turn circular coil of radius 4.00 cm and...Ch. 31 - Scientific work is currently under way to...Ch. 31 - An aluminum ring of radius r1 = 5.00 cm and...Ch. 31 - An aluminum ring of radius r1 and resistance R is...Ch. 31 - Prob. 31.13PCh. 31 - A coil of 15 turns and radius 10.0 cm surrounds a...Ch. 31 - A square, single-turn wire loop = 1.00 cm on a...Ch. 31 - A long solenoid has n = 400 turns per meter and...Ch. 31 - A coil formed by wrapping 50 turns of wire in the...Ch. 31 - When a wire carries an AC current with a known...Ch. 31 - A toroid having a rectangular cross section (a =...Ch. 31 - Prob. 31.20PCh. 31 - A helicopter (Fig. P30.11) has blades of length...Ch. 31 - Use Lenzs law 10 answer the following questions...Ch. 31 - A truck is carrying a steel beam of length 15.0 in...Ch. 31 - A small airplane with a wingspan of 14.0 m is...Ch. 31 - A 2.00-m length of wire is held in an eastwest...Ch. 31 - Prob. 31.26PCh. 31 - Figure P31.26 shows a lop view of a bar that can...Ch. 31 - A metal rod of mass m slides without friction...Ch. 31 - A conducting rod of length moves on two...Ch. 31 - Prob. 31.30PCh. 31 - Review. Figure P31.31 shows a bar of mass m =...Ch. 31 - Review. Figure P31.31 shows a bar of mass m that...Ch. 31 - The homopolar generator, also called the Faraday...Ch. 31 - Prob. 31.34PCh. 31 - Review. Alter removing one string while...Ch. 31 - A rectangular coil with resistance R has N turns,...Ch. 31 - Prob. 31.37PCh. 31 - An astronaut is connected to her spacecraft by a...Ch. 31 - Within the green dashed circle show in Figure...Ch. 31 - Prob. 31.40PCh. 31 - Prob. 31.41PCh. 31 - 100-turn square coil of side 20.0 cm rotates about...Ch. 31 - Prob. 31.43PCh. 31 - Figure P30.24 (page 820) is a graph of the induced...Ch. 31 - In a 250-turn automobile alternator, the magnetic...Ch. 31 - In Figure P30.26, a semicircular conductor of...Ch. 31 - A long solenoid, with its axis along the x axis,...Ch. 31 - A motor in normal operation carries a direct...Ch. 31 - The rotating loop in an AC generator is a square...Ch. 31 - Prob. 31.50PCh. 31 - Prob. 31.51APCh. 31 - Suppose you wrap wire onto the core from a roll of...Ch. 31 - A circular coil enclosing an area of 100 cm2 is...Ch. 31 - A circular loop of wire of resistance R = 0.500 ...Ch. 31 - A rectangular loop of area A = 0.160 m2 is placed...Ch. 31 - A rectangular loop of area A is placed in a region...Ch. 31 - Strong magnetic fields are used in such medical...Ch. 31 - Consider the apparatus shown in Figure P30.32: a...Ch. 31 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 31 - Why is the following situation impossible? A...Ch. 31 - The circuit in Figure P3 1.61 is located in a...Ch. 31 - Magnetic field values are often determined by...Ch. 31 - A conducting rod of length = 35.0 cm is free to...Ch. 31 - Review. A particle with a mass of 2.00 1016 kg...Ch. 31 - The plane of a square loop of wire with edge...Ch. 31 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 31 - Figure P30.39 shows a stationary conductor whose...Ch. 31 - Prob. 31.68APCh. 31 - A small, circular washer of radius a = 0.500 cm is...Ch. 31 - Figure P30.41 shows a compact, circular coil with...Ch. 31 - Prob. 31.71APCh. 31 - Review. In Figure P30.42, a uniform magnetic field...Ch. 31 - An N-turn square coil with side and resistance R...Ch. 31 - A conducting rod of length moves with velocity v...Ch. 31 - The magnetic flux through a metal ring varies with...Ch. 31 - A rectangular loop of dimensions and w moves with...Ch. 31 - A long, straight wire carries a current given by I...Ch. 31 - A thin wire = 30.0 cm long is held parallel to...Ch. 31 - Prob. 31.79CPCh. 31 - An induction furnace uses electromagnetic...Ch. 31 - Prob. 31.81CPCh. 31 - A betatron is a device that accelerates electrons...Ch. 31 - Review. The bar of mass m in Figure P30.51 is...
Knowledge Booster
Similar questions
- Two infinitely long current-carrying wires run parallel in the xy plane and are each a distance d = 11.0 cm from the y axis (Fig. P30.83). The current in both wires is I = 5.00 A in the negative y direction. a. Draw a sketch of the magnetic field pattern in the xz plane due to the two wires. What is the magnitude of the magnetic field due to the two wires b. at the origin and c. as a function of z along the z axis, at x = y = 0? FIGURE P30.83arrow_forwardAn electromagnetic wave with a peak magnetic field magnitude of 1.50 107 T has an associated peak electric field of what magnitude? (a) 0.500 1015 N/C (b) 2.00 105 N/C (c) 2.20 104 N/C (d) 45.0 N/C (e) 22.0 N/Carrow_forwardA magnetic field directed into the page changes with time according to B = 0.030 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (see Fig. P23.28). When t = 3.00 s and r2 = 0.020 0 m, what are (a) the magnitude and (b) the direction of the electric field at point P2?arrow_forward
- One common type of cosmic ray is a proton traveling at close to the speed of light. If the proton is traveling downward, as shown in Figure P30.14, at a speed of 1.00 107 m/s, what are the magnitude and direction of the magnetic field at point B?arrow_forwardConsider an electromagnetic wave traveling in the positive y direction. The magnetic field associated with the wave at some location at some instant points in the negative x direction as shown in Figure OQ24.12. What is the direction of the electric field at this position and at this instant? (a) the positive x direction (b) the positive y direction (c) the positive z direction (d) the negative z direction (e) the negative y direction Figure OQ24.12arrow_forwardA uniform magnetic field B=5.44104iT passes through a closed surface with a slanted top as shown in Figure P31.59. a. Given the dimensions and orientation of the closed surface shown, what is the magnetic flux through the slanted top of the surface? b. What is the net magnetic flux through the entire closed surface?arrow_forward
- A wire is bent in the form of a square loop with sides of length L (Fig. P30.24). If a steady current I flows in the loop, determine the magnitude of the magnetic field at point P in the center of the square. FIGURE P30.24arrow_forwardAn electric current is flowing through a long cylindrical conductor with radius a = 0.15 m. The current density J = 2.5 A/m2 is uniform in the cylinder. In this problem, we consider an imaginary cylinder with radius r around the axis AB. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms of r, a, and J. Part (f) Express the magnitude of the magnetic field, B, at r > a in terms of I and r. Part (g) Express B in terms of J, a and r. Part (h) For r = 2 a, calculate the numerical value of B in Tesla. I already did the first few parts. I am most confused on parts e and g, how to derive the equations. Thanks so much!arrow_forwardA magnetic field directed into the page changes with time according to B = 0.023 0t2 + 1.40, where B is in teslas and t is in seconds. The field has a circular cross section of radius R = 2.50 cm (a) When t = 4.70 s and r2 = 0.020 0 m, what is the magnitude of the electric field at point P2?arrow_forward
- An electric field is restricted to a circular area of diameter d = 10.9 cm as shown in the figure. At the instant shown, the field direction is out of the page, its magnitude is 300 V/m, and its magnitude is increasing at a rate of 18.0 V/(m · s). A)What is the direction of the magnetic field at the point P, r = 16.6 cm from the center of the circle? B)What is the magnitude of the magnetic field (in T) at the point P, r = 16.6 cm from the center of the circle? C) As before, at the moment shown in the figure, the electric field within the circle has a magnitude of 300 V/m and is increasing at a rate of 18.0 V/(m · s). In addition, suppose that the radius of the circular area of the electric field increases at a rate of 1.00 cm/s. What would the magnitude of the magnetic field be at point P at this moment (in T)?arrow_forwardA circular region 4.00 m in radius is filled with an electric field perpendicular to the face of the circle. The magnitude of the field in the circle varies with radius and time as E(r, t) = Arcos (@t) where A = 1000. V/m² and w = 3.00 x 10⁹ s¨¹. What is the maximum value of the magnetic field at the edge of the region? i Tarrow_forwardA vector representing a magnetic field has an x-component of 0.400 T (tesla) and a y-component of 0.162 T.What is the direction (in degrees) of the magnetic field with respect to the positive x-axis?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning