Question

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Answer 1

➡Sum of final charges on C2 & C3.

◾Common potential..

$v = \frac{total \: charge}{total \: capacity} = \frac{q1 + q2}{c1 + \: c2} \\ v = \frac{c1v1 + c2v2}{c1 + c2}$

initial charge "q" = 60 uc..

◾Let final potential across C2 & C3 is V

$( \frac{c2 \: c3}{c2 + c3} ) \times v + c_{1}v = 60uc \\ v = \frac{60uc}{c1 + \frac{c2 \: c3}{c2 + c3} } = \frac{60}{1 + 2} = 20v$

◾Total charge on C2 & C3....

$( \frac{c2 \: c3}{c2 + c3} ) \times v = 2 \times 20 = 40 \\ = 40uc$

option (b) is correct :40 uc

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