EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 23, Problem 23.83AP
Review. A 1.00-g cork ball with charge 2.00 μC is suspended vertically on a 0.500-m-long light string in the presence of a uniform, downward-directed electric field of magnitude E = 1.00 × 105 N/C. If the ball is displaced slightly from the vertical, it oscillates like a simple pendulum. (a) Determine the period of this oscillation. (b) Should the effect of gravitation be included in the calculation for part (a)? Explain.
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Chapter 23 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
Ch. 23 - Three objects are brought close to each other, two...Ch. 23 - Three objects are brought close to one another,...Ch. 23 - Object A has a charge of +2 C, and object B has a...Ch. 23 - A test charge of +3 C is at a point P where an...Ch. 23 - Rank the magnitudes of the electric field at...Ch. 23 - A free electron and a free proton are released in...Ch. 23 - Prob. 23.2OQCh. 23 - A very small ball has a mass of 5.00 103 kg and a...Ch. 23 - An electron with a speed of 3.00 106 m/s moves...Ch. 23 - A point charge of 4.00 nC is located at (0, 1.00)...
Ch. 23 - A circular ring of charge with radius b has total...Ch. 23 - What happens when a charged insulator is placed...Ch. 23 - Estimate the magnitude of the electric field due...Ch. 23 - (i) A metallic coin is given a positive electric...Ch. 23 - Assume the charged objects in Figure OQ23.10 are...Ch. 23 - Three charged particles are arranged on corners of...Ch. 23 - Two point charges attract each other with an...Ch. 23 - Assume a uniformly charged ring of radius R and...Ch. 23 - An object with negative charge is placed in a...Ch. 23 - The magnitude of the electric force between two...Ch. 23 - (a) Would life be different if the electron were...Ch. 23 - A charged comb often attracts small bits of dry...Ch. 23 - A person is placed in a large, hollow, metallic...Ch. 23 - A student who grew up in a tropical country and is...Ch. 23 - If a suspended object A is attracted to a charged...Ch. 23 - Consider point A in Figure CQ23.6 located an...Ch. 23 - In fair weather, there is an electric field at the...Ch. 23 - Why must hospital personnel wear special...Ch. 23 - A balloon clings to a wall after it is negatively...Ch. 23 - Consider two electric dipoles in empty space. Each...Ch. 23 - A glass object receives a positive charge by...Ch. 23 - Find to three significant digits the charge and...Ch. 23 - (a) Calculate the number of electrons in a small,...Ch. 23 - Two protons in an atomic nucleus are typically...Ch. 23 - A charged particle A exerts a force of 2.62 N to...Ch. 23 - In a thundercloud, there may be electric charges...Ch. 23 - (a) Find the magnitude of the electric force...Ch. 23 - Review. A molecule of DNA (deoxyribonucleic acid)...Ch. 23 - Nobel laureate Richard Feynman (19181088) once...Ch. 23 - A 7.50-nC point charge is located 1.80 m from a...Ch. 23 - (a) Two protons in a molecule are 3.80 10-10 m...Ch. 23 - Three point charges are arranged as shown in...Ch. 23 - Three point charges lie along a straight line as...Ch. 23 - Two small beads having positive charges q1 = 3q...Ch. 23 - Two small beads having charges q1 and q2 of the...Ch. 23 - Three charged panicles are located at the corners...Ch. 23 - Two small metallic spheres, each of mass m = 0.200...Ch. 23 - Review. In the Bohr theory of the hydrogen atom,...Ch. 23 - Particle A of charge 3.00 104 C is at the origin,...Ch. 23 - A point charge +2Q is at the origin and a point...Ch. 23 - Review. Two identical particles, each having...Ch. 23 - Two identical conducting small spheres are placed...Ch. 23 - Why is the following situation impossible? Two...Ch. 23 - What are the magnitude and direction of the...Ch. 23 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 23 - Four charged particles are at the corners of a...Ch. 23 - Three point charges lie along a circle of radius r...Ch. 23 - Two equal positively charged particles are at...Ch. 23 - Consider n equal positively charged particles each...Ch. 23 - In Figure P23.29, determine the point (other than...Ch. 23 - Three charged particles are at the corners of an...Ch. 23 - Three point charges are located on a circular arc...Ch. 23 - Two charged particles are located on the x axis....Ch. 23 - A small, 2.00-g plastic ball is suspended by a...Ch. 23 - Two 2.00-C point charges are located on the x...Ch. 23 - Three point charges are arranged as shown in...Ch. 23 - Consider the electric dipole shown in Figure...Ch. 23 - A rod 14.0 cm long is uniformly charged and has a...Ch. 23 - A uniformly charged disk of radius 35.0 cm carries...Ch. 23 - A uniformly charged ring of radius 10.0 cm has a...Ch. 23 - The electric field along the axis of a uniformly...Ch. 23 - Example 23.3 derives the exact expression for the...Ch. 23 - A uniformly charged rod of length L and total...Ch. 23 - A continuous line of charge lies along the x axis,...Ch. 23 - A thin rod of length and uniform charge per unit...Ch. 23 - A uniformly charged insulating rod of length 14.0...Ch. 23 - (a) Consider a uniformly charged, thin-walled,...Ch. 23 - A negatively charged rod of finite length carries...Ch. 23 - A positively charged disk has a uniform charge per...Ch. 23 - Figure P23.49 shows the electric field lines for...Ch. 23 - Three equal positive charges q are at the corners...Ch. 23 - A proton accelerates from rest in a uniform...Ch. 23 - A proton is projected in the positive x direction...Ch. 23 - An electron and a proton are each placed at rest...Ch. 23 - Protons are projected with an initial speed vi =...Ch. 23 - The electrons in a particle beam each have a...Ch. 23 - Two horizontal metal plates, each 10.0 cm square,...Ch. 23 - A proton moves at 4.50 105 m/s in the horizontal...Ch. 23 - Three solid plastic cylinders all have radius 2.50...Ch. 23 - Consider an infinite number of identical...Ch. 23 - A particle with charge 3.00 nC is at the origin,...Ch. 23 - A small block of mass m and charge Q is placed on...Ch. 23 - A small sphere of charge q1 = 0.800 C hangs from...Ch. 23 - A line of charge starts at x = +x0 and extends to...Ch. 23 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 23 - A uniform electric field of magnitude 640 N/C...Ch. 23 - Two small silver spheres, each with a mass of 10.0...Ch. 23 - A charged cork ball of mass 1.00 g is suspended on...Ch. 23 - A charged cork ball of mass m is suspended on a...Ch. 23 - Three charged particles are aligned along the x...Ch. 23 - Two point charges qA = 12.0 C and qB = 45.0 C and...Ch. 23 - A line of positive charge is formed into a...Ch. 23 - Four identical charged particles (q = +10.0 C) are...Ch. 23 - Two small spheres hang in equilibrium at the...Ch. 23 - Why is the following situation impossible? An...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Review. Two identical blocks resting on a...Ch. 23 - Three identical point charges, each of mass m =...Ch. 23 - Show that the maximum magnitude Emax of the...Ch. 23 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 23 - Two identical beads each have a mass m and charge...Ch. 23 - Two small spheres of mass m are suspended from...Ch. 23 - Review. A negatively charged particle q is placed...Ch. 23 - Review. A 1.00-g cork ball with charge 2.00 C is...Ch. 23 - Identical thin rods of length 2a carry equal...Ch. 23 - Eight charged panicles, each of magnitude q, are...Ch. 23 - Consider the charge distribution shown in Figure...Ch. 23 - Review. An electric dipole in a uniform horizontal...Ch. 23 - Inez is putting up decorations for her sisters...Ch. 23 - A line of charge with uniform density 35.0 nC/m...Ch. 23 - A particle of mass m and charge q moves at high...Ch. 23 - Two particles, each with charge 52.0 nC, are...
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- Is it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.arrow_forwardAn electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 N/C. The field lines are parallel to the electrons velocity and pointing in the same direction as the velocity. How far does the electron travel before it is brought to rest? (a) 2.56 cm (b) 5.12 cm (c) 11.2 cm (d) 3.34 m (e) 4.24 marrow_forwardA thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.arrow_forward
- Two horizontal metal plates, each 10.0 cm square, are aligned 1.00 cm apart with one above the other. They are given equal-magnitude charges of opposite sign so that a uniform downward electric field of 2.00 103 N/C exists in the region between them. A particle of mass 2.00 1016 kg and with a positive charge of 1.00 106 C leaves the center of the bottom negative plate with an initial speed of 1.00 x 105 m/s at an angle of 37.0 above the horizontal. (a) Describe the trajectory of the particle, (b) Which plate does it strike? (c) Where does it strike, relative to its starting point?arrow_forwardA point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/Carrow_forward(a) Using the symmetry of the arrangement, determine the direction of the electric field at the center of the square in Figure 18.53, given that qa= 1.00C and qc=qd= +1.00 C. (b) Calculate the magnitude of the electric field at the location of q, given that the square is 5.00 cm on a side.arrow_forward
- Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in Figure P25.52. Assume the dome has a diameter of 30.0 cm and is surrounded by dry air with a "breakdown" electric field of 3.00 106 V/m. (a) What is the maximum potential of the dome? (b) What is the maximum charge on the dome?arrow_forwardA circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forwardConsider the charge distribution shown in Figure P19.74. (a) Show that the magnitude of the electric field at the center of any face of the cube has a value of 2.18 keq/s2. (b) What is the direction of the electric field at the center of the top face of the cube?arrow_forward
- A very small ball has a mass of 5.00 103 kg and a charge of 4.00 C. What magnitude electric field directed upward will balance the weight of the ball so that the ball is suspended motionless above the ground? (a) 8.21 102 N/C (b) 1.22 104 N/C (c) 2.00 102 N/C (d) 5.11 106 N/C (e) 3.72 103 N/Carrow_forwardA Figure P23.65 shows two identical conducting spheres, each with charge q, suspended from light strings of length L. If the equilibrium angle the strings make with the vertical is , what is the mass m of the spheres? Figure P23.65arrow_forward(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)arrow_forward
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