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Q.

The capacity of a parallel plate condenser is 10 μF when the distance between its plate is 8 cm. If the distance between the plates is reduced to 4 cm, the capacity will be

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a

10 μF

b

5 μF

c

20 μF

d

40 μF

answer is C.

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Detailed Solution

C=ε0Ad  or  10=ε0A8When the distance becomes d' , than new capacityC′=ε0Ad′  or  C′=ε0A4 ∴ C′10=84  or  C′=804=20μF
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The capacity of a parallel plate condenser is 10 μF when the distance between its plate is 8 cm. If the distance between the plates is reduced to 4 cm, the capacity will be