Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Chapter 24, Problem 29P
In Fig. 24-48, what is the net electric potential at the origin due to the circular arc of charge Q1 = + 7.21 pC and the two particles of charges Q2 = 4.00 Q1 and Q3 = − 2.00 Q1? The arc's center of curvature is at the origin and its radius is R = 2.00 m; the angle indicated is θ = 20.0°
Figure 24-48 Problem 29.
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When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field = E0 , the resulting electric potential is V (x,y,z) = V0 for the points inside the sphere and
V (x,y,z) = V0 − E0z +
E0a3z
(x2 + y2 + z2)3/2
for points outside the sphere, where V0 is the (constant) electric potential on the conductor.Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and E0.)
(a) inside the sphere
(b) outside the sphere
Note: I already solved part a. I need help with part b. Look at the image for the full problem.
When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an
initially uniform electric fieldE = E, k, the resulting electric potential is V (x,y,z) = Vo for the points inside the sphere
and
V (x,y,z) = Vo – Egz +
Ega³z
(x²
+ y² + z²)3/2
for points outside the sphere, where V is the (constant) electric potential on the conductor.
Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use
the following as necessary: X, y, z, a, and Eo:)
Thank you :)
Chapter 24 Solutions
Fundamentals of Physics Extended
Ch. 24 - Figure 24-24 shows eight particles that form a...Ch. 24 - Figure 24-25 shows three sets of cross sections of...Ch. 24 - Figure 24-26 shows four pairs of charged...Ch. 24 - Figure 24-27 gives the electric potential V as a...Ch. 24 - Figure 24-28 shows three paths along which we can...Ch. 24 - Figure 24-29 shows four arrangement? of charged...Ch. 24 - Figure 24-30 shows a system of three charged...Ch. 24 - In the situation of Question 7, is the work done...Ch. 24 - Figure 24-26 shows four pairs of charged particles...Ch. 24 - a In Fig. 24-31a, what is the potential at point P...
Ch. 24 - Figure 24-32 shows a thin, uniformly charged rod...Ch. 24 - In Fig. 24-33, a particle is to be released at...Ch. 24 - SSM A particular 12 V car battery can send a total...Ch. 24 - The electric potential difference between the...Ch. 24 - Suppose that in a lightning flash the potential...Ch. 24 - Two large, parallel, conducting plates are 12 cm...Ch. 24 - SSM An infinite nonconducting sheet has a surface...Ch. 24 - When an electron moves from A to B along an...Ch. 24 - The electric field in a region of space has the...Ch. 24 - A graph of the x component of the electric field...Ch. 24 - An infinite nonconducting sheet has a surface...Ch. 24 - GO Two uniformly charged, infinite, nonconducting...Ch. 24 - A nonconducting sphere has radius R = 2.31 cm and...Ch. 24 - As a space shuttle moves through the dilute...Ch. 24 - What are a the change and b the charge density on...Ch. 24 - Consider a particle with charge q = 1.0 C, point A...Ch. 24 - SSM ILW A spherical drop of water carrying a...Ch. 24 - GO Figure 24-37 shows a rectangular array of...Ch. 24 - GO In Fig.24-33, what is the net electric...Ch. 24 - GO Two charged particles are shown in Fig. 24-39a....Ch. 24 - In Fig. 24-40, particles with the charges q1 = 5e...Ch. 24 - Two particles, of charges q1 and q2, are separated...Ch. 24 - ILW The ammonia molecule NH3 has a permanent...Ch. 24 - In Fig. 24-41a, a particle of elementary charge e...Ch. 24 - a Figure 24-42a shows a nonconducting rod of...Ch. 24 - In Fig. 21-43, a plastic rod having a uniformly...Ch. 24 - A plastic rod has been bent into a circle of...Ch. 24 - GO Figure 24-45 shows a thin rod with a uniform...Ch. 24 - In Fig. 24-46, three thin plastic rods form...Ch. 24 - GO Figure 24-47 shows a thin plastic rod of length...Ch. 24 - In Fig. 24-48, what is the net electric potential...Ch. 24 - GO The smiling face of Fig. 24-49 consists of...Ch. 24 - SSM WWW A plastic disk of radius R = 64.0 cm is...Ch. 24 - GO A non uniform linear charge distribution given...Ch. 24 - GO The thin plastic rod shown in Fig. 24-47 has...Ch. 24 - Two large parallel metal plates are 1.5 cm apart...Ch. 24 - The electric potential al points in an xy plane is...Ch. 24 - The electric potential V in the space between two...Ch. 24 - SSM What is the magnitude of the electric field at...Ch. 24 - Figure 24-47 shows a thin plastic rod of length L...Ch. 24 - An electron is placed in an xy plane where I he...Ch. 24 - GO The thin plastic rod of length L = 10.0 cm in...Ch. 24 - A particle of charge 7.5 C is released from rest...Ch. 24 - a What is the electric potential energy of two...Ch. 24 - How much work is required to set up the...Ch. 24 - In Fig. 24-53, seven charged particles are fixed...Ch. 24 - ILW A particle of charge q is fixed at point P,...Ch. 24 - A charge of 9.0 nC is uniformly distributed around...Ch. 24 - GO What is the escape speed for an electron...Ch. 24 - A thin, spherical conducting shell of radius R is...Ch. 24 - GO Two electrons are fixed 2.0 cm apart. Another...Ch. 24 - In Fig. 24-54, how much work must we do to bring a...Ch. 24 - GO In the rectangle of Fig. 24-55, the sides have...Ch. 24 - Figure 24-56a shows an electron moving along an...Ch. 24 - Two tiny metal sphere? A and B, mass mA = 5.00 g...Ch. 24 - GO A positron charge e, mass equal to the electron...Ch. 24 - An electron is projected with an initial speed of...Ch. 24 - Particle 1 with a charge of 5.0 C and particle 2...Ch. 24 - SSM Identical 50 C charges are fixed or an x axis...Ch. 24 - GO Proton in a well. Figure 24-59 shows electric...Ch. 24 - In Fig. 24-60, a charged particle either an...Ch. 24 - In Fig. 24-61a, we move an electron from an...Ch. 24 - Suppose N electrons can be placed in either of two...Ch. 24 - Sphere 1 with radius R1 has positive charge q....Ch. 24 - SSM WWW Two metal spheres, each of radius 3.0 cm,...Ch. 24 - A hollow metal sphere has a potential of 400 V...Ch. 24 - SSM What is the excess charge on a conducting...Ch. 24 - Two isolated, concentric, conducting spherical...Ch. 24 - A metal sphere of radius 15 cm has a net charge of...Ch. 24 - Here are the charges and coordinates of two...Ch. 24 - SSM A long, solid, conducting cylinder has a...Ch. 24 - The chocolate crumb mystery. This story begins...Ch. 24 - SSM Starting from Eq. 24-30, derive an expression...Ch. 24 - The magnitude E of an electric field depends on...Ch. 24 - a If an isolated conducting sphere 10 cm in radius...Ch. 24 - Three particles, charge q1 = 10 C, q2 = 20 C, and...Ch. 24 - An electric field of approximately 100 V/m is...Ch. 24 - A Gaussian sphere of radius 4.00 cm is centered or...Ch. 24 - In a Millikan oil-drop experiment Module 22-6, a...Ch. 24 - Figure 24-63 shows three circular, nonconducting...Ch. 24 - An electron is released from rest on the axis of...Ch. 24 - Figure 24-64 shows a ring of outer radius R = 13.0...Ch. 24 - GO Electron in a well. Figure 24-65 shows electric...Ch. 24 - a If Earth had a uniform surface charge density of...Ch. 24 - In Fig. 24-66, point P is at distance d1 = 4.00 m...Ch. 24 - A solid conducting sphere of radius 3.0 cm has a...Ch. 24 - In Fig. 24-67, we move a particle of charge 2e in...Ch. 24 - Figure 24-68 shows a hemisphere with a charge of...Ch. 24 - SSM Three 0.12 C charges form an equilateral...Ch. 24 - Two charges q = 2.0 C are fixed a distance d = 2.0...Ch. 24 - Initially two electrons are fixed in place with a...Ch. 24 - A particle of positive charge Q is fixed at point...Ch. 24 - Two charged, parallel, flat conducting surfaces...Ch. 24 - In Fig. 24-70, point P is at the center of the...Ch. 24 - SSM A uniform charge of 16.0 C is on a thin...Ch. 24 - Consider a particle with charge q = 150 108 C,...Ch. 24 - SSM A thick spherical shell of charge Q and...Ch. 24 - A charge q is distributed uniformly throughout a...Ch. 24 - SSM A solid copper sphere whose radius is 1.0 cm...Ch. 24 - In Fig. 24-71, a metal sphere with charge q = 5.00...Ch. 24 - a Using Eq. 24-32, show that the electric...Ch. 24 - An alpha particle which has two protons is seat...Ch. 24 - In the quark model of fundamental particles, a...Ch. 24 - A charge of 1.50 108 C lies on an isolated metal...Ch. 24 - In Fig. 24-72, two particles of charges q1 and q2...
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