Q.

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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a

ε0Ad

b

1811ε0Ad

c

1118ε0Ad

d

ε0A3d

answer is C.

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Detailed Solution

All the steps of stair makes three parallel capacitors.Ceq=C1+C2+C3=ε0A3d+ε0A3×2d+ε0A3×3d=11ε0A18d
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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