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Q.

Three plates A, B and C each of area 50cm² have separation 3mm between A and B and 3 mm between B and C. The plates A and B are connected to a battery of 12 V . The energy stored when the plates are fully charged is

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a

$2 .1 \times 10^{- 9} J$

b

$7 \times 10^{- 9} J$

c

$5 \times 10^{- 9} J$

d

$1 .6 \times 10^{- 9} J$

answer is B.

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Detailed Solution

There are two capacitors parallel to each other
Total Capacitance $e = \frac{2 ε_{0} A}{d}$
Energy Stored $= \frac{1}{2} (\frac{2 ε_{0} A}{d}) V^{2}$

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