First slide

Pontial due to

Question

A point charge Q is placed at the centre of a thick metallic uncharged shell of inner radius $r_{1}$ , and outer radius r₂. Which of the following groups correctly show the variation of potential with distance from centre?

Difficult

A
B
C
D

Solution

$\begin{array}{l} V = \frac{1}{4 π \in_{o}} [\frac{(+ Q)}{r} + \frac{(- Q)}{r_{1}} + \frac{(+ Q)}{r_{2}}] (r \leq r_{1}) \\ V = \frac{1}{4 π \in_{o}} \frac{Q}{r_{2}} (r_{1} \leq r \leq r_{2}) \\ V = \frac{1}{4 π \in_{o}} \frac{Q}{r} (r \geq r_{2}) \end{array}$

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