A capacitor is made of a flat plate of area A and a second plate constructed like a staircase as shown in the figure. The capacitance of the arrangement is

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$\frac{ε_{0} A}{d}$

$\frac{18}{11} \frac{ε_{0} A}{d}$

$\frac{11}{18} \frac{ε_{0} A}{d}$

$\frac{ε_{0} A}{3 d}$

answer is C.

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Detailed Solution

All the steps of stair makes three parallel capacitors.

$\begin{array}{l} C_{eq} = C_{1} + C_{2} + C_{3} \\ = \frac{ε_{0} A}{3 d} + \frac{ε_{0} A}{3 \times 2 d} + \frac{ε_{0} A}{3 \times 3 d} = \frac{11 ε_{0} A}{18 d} \end{array}$

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