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Q.

Two metal plates are separated by a distance d in a parallel plate condenser. A metal plate of thickness t and of the same area is inserted between the condenser plates. The value of capacitance increases by ...... times

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a

$(t - \frac{t}{d})$

b

$(1 - \frac{t}{d})$

c

$\frac{1}{(1 - \frac{t}{d})}$

d

$\frac{d - t}{d}$

answer is D.

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Detailed Solution

$C = \frac{ε_{0} A}{d - t + \frac{t}{k}}; k = \infty$

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Two metal plates are separated by a distance d in a parallel plate condenser. A metal plate of thickness t and of the same area is inserted between the condenser plates. The value of capacitance increases by ...... times