Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 26 - Potential and Field - Conceptual Questions - Page 736: 9

Answer

(a) $V_1 = V_2$ (b) $Q_1 \gt Q_2$ (c) $E_1 \lt E_2$

Work Step by Step

(a) When a conductor is in equilibrium, all parts of the conductor has the same constant electric potential. Therefore, $V_1 = V_2$ (b) We can find an expression for the charge: $V = \frac{k~Q}{R}$ $Q = \frac{V~R}{k}$ Since $R_1 \gt R_2$, then $Q_1 \gt Q_2$ (c) We can write an expression for the electric field at the surface: $E = \frac{k~Q}{R^2}$ $E = \frac{k~V~R}{k~R^2}$ $E = \frac{V}{R}$ Since $R_1 \gt R_2$, then $E_1 \lt E_2$
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