In the figure below, a solid sphere, of radius a = 2.10 cm is concentric with a
ID: 1330717 • Letter: I
Question
In the figure below, 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 charge q1 = +4.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = -q1.
(b) What is the magnitude of the electric field at radial distance r = a/3?
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 = 1.70a?
N/C
Explanation / Answer
Here
A)
electric field inside the solid sphere is
E = k * Q*r/R^3
E = 9*10^9 * 4 *10^-15*(0.021/3)/(0.021)^3
E = 0.0272 N/C
the electric field at a/3 distance is 0.0272 N/C
B)
at r = a
E = k * Q/R^2
E = 9*10^9 * 4 *10^-15/0.021^2
E = 0.0816 N/C
the magnitude of electric field is 0.0816 N/C
C)
at r = 1.70 a
electroc field due to outer shell is zero
E = k * Q/R^2
E = 9*10^9 * 4 *10^-15/(1.7 *0.021)^2
E = 0.0282 N/C
the magnitude of electric field is 0.0282 N/C