The capacitance of a parallel plate condenser is C. The plates are square plates

Question

The capacitance of a parallel plate condenser is C. The plates are square plates of side 1 unit. The plates are replaced by circular plates of diameter 1 unit. The capacitance now becomes?(with all others parameters remaining the same)

Options:

A . 4 πC

B . πC

C . πC4

D . 4Cπ

Answer: Option C
:
C

C = \frac{ϵ_{0} l^{2}}{d} - - - - - - (1)

C^{1} = \frac{ϵ_{0} π l^{2}}{4 d} - - - - - - (2)

\frac{C^{1}}{C} = \frac{π}{4}

C^{1} = \frac{π}{4} c

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