1.–/2 pointsHRW9 23.CQ.03.My Notes |
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The figure below shows, in cross section, a central metal ball, two spherical metal shells, and
three spherical Gaussian surfaces of radii R, 2R, and 3R, all with the same center. The uniform
charges on the three objects are: ball, Q; smaller shell, 3Q; larger shell, 5Q.
Rank the Gaussian surfaces according to the magnitude of the electric field at any point on the
surface, greatest first. (Use only the symbols > or =, for example R=2R>3R.)
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2.–/4 pointsHRW9 23.CQ.09.My Notes |
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A small charged ball lies within the hollow of a metallic spherical shell of radius R. Here, for
three situations, are the net charges on the ball and shell, respectively:
1 +4q, 0
2 -6q, +10q
3 +16q, -12q
(a) Rank the situations according to the charge on the inner surface of the shell, most positive
first (use only the symbols > or =, for example 2=3>1).
(b) Rank the situations according to the charge on the outer surface, most positive first (use only
the symbols > or =, for example 2=3>1).
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3.–/4 pointsHRW9 23.CQ.10.My Notes |
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A small charged ball lies within the hollow of a metallic spherical shell of radius R. For three
situations, the net charges on the ball and shell, respectively, are:
1 +4q, 0
2 -6q, +10q
3 +16q, -12q
(a) Rank the situations according to the magnitude of the electric field halfway through the shell,
greatest first (use only the symbols > or =, for example 2=3>1).
(b) Rank the situations according to the magnitude of the electric field at a point 2R from the
center of the shell, greatest first (use only the symbols > or =, for example 2=3>1).
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4.–/8 pointsHRW9 23.P.049.My Notes |
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In the figure below, a solid sphere, of radius a = 2.40 cm is concentric with a spherical
conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net
charge q1 = +2.00 fC which is distributed uniformly through the sphere; the shell has a net
charge of q2 = -q1.
(a) What is the magnitude of the electric field at radial distance r = 0?
N/C
(b) What is the magnitude of the electric field at radial distance r = a/2?
N/C
(c) What is the magnitude of the electric field at radial distance r = a?
N/C
(d) What is the magnitude of the electric field at radial distance r = 1.50a?
N/C
(e) What is the magnitude of the electric field at radial distance r = 2.10a?
N/C
(f) What is the magnitude of the electric field at radial distance r = 3.50a?
N/C
(g) What is the net charge on the inner surface of the shell?
fC
(h) What is the net charge on the outer surface of the shell?
fC
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Section 23-9 Applying Gauss' Law: Spherical Symmetry
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5.–/4 pointsHRW9 23.P.067.ssm.My Notes |
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The electric field at point P just outside the outer surface of a hollow spherical conductor of
inner radius 10 cm and outer radius 20 cm has magnitude 470 N/C and is directed outward.
When an unknown point charge Q is introduced into the center of the sphere, the electric field at
P is still directed outward but is now 175 N/C.
(a) What is the net charge on and enclosed by the outer spherical surface before Q is introduced?
C
(b) What is charge Q?
C
(c) After Q is introduced, what is the charge on the inner surface of the conductor?
C
(d) What is it on the outer surface?
C
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Section 23-10 Additional Problems
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6.–/2 pointsHRW9 24.CQ.06.My Notes |
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The figure below shows four arrangements of charged particles, all the same distance from the
origin. Rank the situations according to the net electric potential at the origin, most positive first.
Take the potential to be zero at infinity (use only the symbols > or =, for example b=d>a>c).
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7.–/5 pointsHRW9 24.P.007.My Notes |
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The electric field in a region of space has the components Ey = Ez = 0 and Ex = (4.00 N/C·m) x.
Point A is on the y axis at y = 2.80 m, and Point B is on the x axis at x = 4.80 m. What is the
potential difference VB − VA?
V
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Section 24-5 Calculating the Potential from the Field
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8.–/4 pointsHRW9 24.P.013.My Notes |
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A conducting sphere of radius 0.25 m has a potential of 280 V (with V = 0 at infinity).
(a) What is the charge on its surface?
C
(b) What is the charge density on its surface?
C/m2
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Section 24-7 Potential Due to a Group of Point Charges
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9.–/5 pointsHRW9 24.P.017.GO.My Notes |
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In the figure below, what is the net electric potential at point P due to the four particles, if V = 0
at infinity, q = 4.50 fC, and d = 3.00 cm?
V
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Section 24-7 Potential Due to a Group of Point Charges
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10.–/4 pointsHRW9 24.CQ.07.My Notes |
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The figure below shows a system of three charged particles.
(a) If you move the particle of charge +q from point A to point D, is the change in the electric
potential energy of the three-particle system positive, negative, or zero?
positive
negative
zero
(b) If you move the particle of charge +q from point A to point D, is the work done by the net
electrostatic force on the particle you moved positive, negative, or zero?
positive
negative
zero
(c) If you move the particle of charge +q from point A to point D, is the work done by your force
positive, negative, or zero?
positive
negative
zero
(d) What are the answers to (a) through (c) if, instead, the particle is moved from B to C?
positive
negative
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zero
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11.–/5 pointsHRW9 24.P.043.ssm.My Notes |
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How much work is required to set up the arrangement of the figure below if q = 2.10 pC, a =
52.0 cm, and the particles are initially infinitely far apart and at rest?
J
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Section 24-11 Electric Potential Energy of a System of Point Charges
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12.–/6 pointsHRW9 24.P.049.GO.My Notes |
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Two electrons are fixed 7.2 cm apart. Another electron is shot from infinity and stops midway
between the two. What is its initial speed?
m/s
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Section 24-11 Electric Potential Energy of a System of Point Charges
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13.–/12 pointsHRW9 24.P.051.GO.My Notes |
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In the rectangle of the figure below, the sides have lengths 5.0 cm and 15 cm, q1 = -6.0 µC, and
q2 = +2.0 µC. Take V = 0 at infinity.
(a) What is the electric potential at corner A?
V
(b) What is the electric potential at corner B?
V
(c) How much work is required to move a third charge q3 = +3.0 µC from B to A along a
diagonal of the rectangle?
J
(d) Does this work increase or decrease the electric energy of the three-charge system?
---Select---
(e) Is more, less, or the same work required if q3 is moved along a path inside the rectangle but
not on a diagonal?
---Select---
(f) Is more, less, or the same work required if q3 is moved along a path outside the rectangle?
---Select---
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Section 24-11 Electric Potential Energy of a System of Point Charges