First slide

Electrostatic potential

Question

Two concentric spherical conducting shells of radii R and 2R carry charges Q and 2Q respectively. Change in electric potential on the outer shell when both are connected by a conducting wire is $(k = \frac{1}{4 π ε_{0}})$

Moderate

A

zero
B

$\frac{3 K Q}{2 R}$
C

$\frac{k Q}{R}$
D

$\frac{2 K Q}{R}$

Solution

s $b e f o r e j o i n i n g t h e p o t e n t i a l o f t h e o u t e r s p h e r e i s K (\frac{Q}{2 R} + \frac{2 Q}{2 R}) = K (\frac{3 Q}{2 R}) a f t e r j o i n i n g a l l t h e c h a r g e s w i l l g o t o o u t e r s p h e r e a n d i t' s p o t e n t i a l w i l l b e K (\frac{3 Q}{2 R}) S O N O C H A N G E I N P O T E N T I A L$

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