Q .81 - Excercises And Problems

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Found in: Page 741

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

Consider a uniformly charged sphere of radius R and total cAlC charge Q. The electric field outside the sphere is simply that of a point charge Q. In Chapter 24, we used Gauss's law to find that the electric field inside the sphere is radially outward with field strengtha. The electric potential outside the sphere is that of a point charge Q. Find an expression for the electric potentialat position r inside the sphere. As a reference, let at the surface of the sphere.b. What is the ratio c. Graph V versus r for 0 r 3 R.

The electric potential at a position inside the sphere,

The ratio

Graph of

See the step by step solution

part (a) step 1 : given information

The electric field, and electric potential, outside the sphere is that of a point charge Q. The electric field inside the sphere is given by,

at the surface of the sphere

Formula Used:

If represents electric field and V represents potential associated with it then they are related by

We have to find the potential at a point inside the sphere.

Also,

- Since the potential inside the sphere is given by,

Therefore,

part (b) step 1 : given information

From the expression for potential inside the sphere,

Therefore,

Graph of