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Q.

A parallel plate capacitor with plate area 100cm² and separation between the plates 1.0 cm is connected across a battery of emf 24V. The force of attraction between the plates is

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a

1.0 x10^-7N

b

2.5x10^-7N

c

4 x10^-5N

d

1.6 x 10^-5N

answer is B.

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Detailed Solution

$\begin{array}{l} F = \frac{1}{2} ε_{0} E^{2} A = \frac{1}{2} ε_{0} \frac{v^{2}}{d^{2}} A \\ F = \frac{1}{2} \times \frac{8 .85 \times 10^{- 12} \times 24 \times 24 \times 100 \times 10^{- 4}}{{(10^{- 2})}^{2}} \\ F = 2 .5 \times 10^{- 7} N \end{array}$

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A parallel plate capacitor with plate area 100cm2 and separation between the plates 1.0 cm is connected across a battery of emf 24V. The force of attraction between the plates is