   Chapter 15, Problem 53P

Chapter
Section
Textbook Problem

Suppose the conducting spherical shell of Figure 15.29 carries a charge of 3.00 nC and that a charge of -2.00 nC is at the center of the sphere. If a = 2.00 m and b = 2.40 m. find the electric field at (a) r = 1.50 m, (b) r = 2.20 m, and (c) r = 2.50 m. (d) What is the charge distribution on the sphere?

(a)

To determine
The electric field at 1.0 m.

Explanation

Given info: The charge on the shell is 3.00 nC. The charge at the center is -2.00 nC. The inner radius (a) is 2.00 m. The outer radius (b) is 2.40 m.

Formula to calculate the electric field at 1.0 m is,

E=keqinsider2

• qinside is the charge inside the surface.
• ke is the Coulomb constant.
• r is the distance between the center and the point.

Consider a Gaussian surface with radius less than a. Then, the charge inside is,

qinside=2.00nC

Substitute 8.99×109 Nm2/C2 for ke , 1

(b)

To determine
The electric field at 2.20 m.

(c)

To determine
The electric field at 2.50 m.

(d)

To determine
The charge distribution on the sphere.

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