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Q.

The diameter of each plate of an air capacitor is 4 cm. To make the capacity of this plate capacitor equal to that of 20 cm diameter sphere, the distance between the plates will be

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a

4×10−3m

b

1×10−3m

c

1 cm

d

1×10−3cm

answer is B.

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Detailed Solution

Capacity of spherical conductor of 20 cm diameter C1=4πε0r=4πε0×10Capacity of parallel plate air capacitor C2=ε0Ad=ε0[π(2)2]d=ε0×4πdHence C1=C2⇒40πε0=4πε0d⇒d=10−3m
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