2- A particle with charge (q= 2µC ) and mass (m= 4x10 Kg) moves with initial velocity (v = 2x10°î m/s) into a region of uniform electric field (Ë = 6x10° } N/C) of length (L=0.4m),as shown in the figure. Determine the displacement of the particle along the y-axis when it leaves the region of the electric field. L A- Ay = 6x10²m B- Ay = 6x10³m C- Ay = 6x10**m D- Ay = 6µm

2- A particle with charge (q= 2µC ) and mass (m= 4x10 Kg) moves with initial velocity (v = 2x10°î m/s) into a region of uniform electric field (Ë = 6x10° } N/C) of length (L=0.4m),as shown in the figure. Determine the displacement of the particle along the y-axis when it leaves the region of the electric field. L A- Ay = 6x10²m B- Ay = 6x10³m C- Ay = 6x10**m D- Ay = 6µm

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 92P: An electron and a proton, each starting from rest, are accelerated by the same uniform electric...

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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?
(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.
The electric field along the axis of a uniformly charged disk of radius R and total charge Q was calculated in Example 23.3. Show that the electric field at distances x that are large compared with R approaches that of a particle with charge Q = R2. Suggestion: First show that x/(x2 + R2)1/2 = (1 + R2/x2)1/2 and use the binomial expansion (1 + )n = 1 + n, when 1.
A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 10-3 C/m2. Calculate the electric field on the axis of the disk at (a) 5.00 cm, (b) 10.0 cm, (c) 50.0 cm, and (d) 200 cm from the center of the disk.
A 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.
(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.)
A very large nonconducting plate lying in the xy-plane carries a charge per unit area of . A second such plate located at z = 2.00 cm and oriented parallel to the xy-plane carries a charge per unit area of 2. Find the electric field (a) for z 0, (b) 0 z 2.00 cm, and (c) z 2.00 cm.
The dome of a Van de Graaff generator receives a charge of 2.0 104 C. Find the strength of the electric field (a) inside the dome, (b) at the surface of the dome, assuming it has a radius of 1.0 m, and (c) 4.0 in front the center of the dome. Hint: See Section 15.5 to review properties of conductors in electrostatic equilibrium. Also, note that the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.
A cylindrical shell of radius 7.00 cm and length 2.40 m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.
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