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Question

.A capacitor is charged to potential V and is disconnected . A dielectric of dielectric
constant 4 is inserted filling the whole space between the plates. How do the following
change? –Capacitance, potential difference, Field between the plates, energy stored by
the capacitors.

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Solution

(i) The capacitance increases as the dielectric constant K > 1. K=4

(ii) Potential difference V = Q/C. As C increases and Q remains the same since the battery is disconnected, the p.d. between the plates decreases.

(iii) Electric field E = V/d where V is the p.d. and d the separation between the plates. As V decreases and d remains the same, electric field also decreases.

(iv) Energy stored in a capacitor U = ½ Q2/C. As Q is constant and C increases, U decreases.

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