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Problem 2. A solid metal sphere of radius R\ carries a charge -Q1, where Q1 >...
A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is a conducting shell having inner radius 2R and outer radius 3R. The shell has a charge of -4q placed on it. a. What is the electric field and electric potential, relative to V = 0 at infinity at r for r > 3R? b. What is the electric field and electric potential at r for 3R > r > 2R? c. What is the...
R Q1-Ch23 A conducting solid sphere of radius R with unknown charge Q is at the center of a conducting hollow sphere of inner radius 3R and outer radius 4R. The hollow sphere has charge -2q. Take the origin as the center of the spheres. Take the potential at infinity as zero. a) Calculate Q if the electric potential at r = 2R is zero. b) Suppose that a conducting thin wire is connected between the spheres. How much electron...
A solid metal sphere of radius R carriers a charge-O where Surrounding this sphere is a metal shell of inner radius Ra and outer radius Rs that carriers a total charge ofQ- +8Q, as shown in right figure. Determine the electric field strengths at all values ofr.
A solid conducting sphere with radius R centered at the origin carries a net charge q. It is concentrically surrounded by a thick conducting shell with inner radius a and outer radius b. The net charge on the outer shell is zero. (a) What are the surface charge densities sigma at r = R, r = a, and r = b? b) What is the potential V of the inner sphere, assuming a reference point at infinity. Assume now the...
In the figure the sphere of radius R is solid and non-conductive and has a uniform charge volumetric distribution p0. A spherical shell with inner radius 2R and outer radius 3R is concentric with the sphere and unloaded. Find, in terms of p0 and R: a) the value of the electric charge in the sphere, b) the magnitude of the electric field at a radial distance r - 2.5R, c) the value of the surface charge density induced in the...
In the figure a solid sphere of radius a = 3.40 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 uniform charge q1 = + 4.13 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a,...
In the figure 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 uniform charge q1 = +3.24 fC; the shell has a net charge q2 = -q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...
In the figure a solid sphere of radius a = 3.30 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 uniform charge q1 = +3.47 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...
In the figure a solid sphere of radius a = 2.10 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 uniform charge q1 = +4.57 fC; the shell has a net charge q2 = –q1. What is the magnitude of the electric field at radial distances (a) r = 0 cm, (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e)...
Imagine a spherical shell of inner radius ?1 and outer radius ?2 that carries a uniform volume charge. Find the potential at r<R1 , R1<r<R2 , r>R2. Set the reference point at infinity.