Consider the situation shown in figure. The width of each plate is b. The capacitor plates are rigidly clamped in the laboratory and connected to a battery of emf V. All surface are frictionless. Calculate the extension in the spring in equilibrium (spring is nonconducting)

Text Solution
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CHECK THE SOLUTION.

Sol.

Potential energy =
(C 1 + C 2 ) V 2
=
V 2
F = –
= – 
F =
V 2
where,
=
{1 – K}
F =

at equilibrium, F = K s x
x =
= 
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