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Conduction

The plates of...

Question

The plates of a capacitor of capacitance $10 μ F$ , charged to $60 μ C$ , are joined together by a wire of resistance $10 Ω$ at t = 0, then the charge on the capacitor in the circuit at t = 0 is :

A

120 μ C

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B

60 μ C

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C

30 μ C

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D

44 μ C

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Solution

The correct option is B $60 μ C$
$T h e g i v e n c i r c u i t b e c o m e s t h e d c r - c c i r c u i t I n s t a n t a n e o u s v a l u e o f c h a r g e o n c a p a c i t o r Q Q = Q_{0} e^{\frac{- t}{R c}} W h e r e Q_{0} i s t h e i n i t i a l c h a r g e o n t h e c a p a c i t o r N o w p u t t i n g t h e v a l u e o f t, R a n d c w e g e t Q = 60 μ C e^{0} = 60 μ C T h e r e f o r e o p t i o n B$

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