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Byju's Answer

Standard XII

Physics

Specific Heat Capacity

A capacitor i...

Question

A capacitor is initially connected to a battery of $E M F 3 V$ . At $t = 0$ , switch is thrown to B state. Now charge on capacitor at any instant is given by :

q = C (V + 2 V e^{- t / R C})

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q = C (V - 2 V e^{- t / R C})

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q = C (V + 2 V e^{- t / 2 R C})

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q = C (V - 2 V e^{- 2 t / R C})

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Solution

The correct option is B $q = C (V + 2 V e^{- t / 2 R C})$
$G i v e n :$ A capacitor is initially connected to a battery of $E M F = 3 V$ .At $t = 0$ , switch is thrown to B state.
$S o l u t i o n :$
$Q = Q_{0} e^{- t / R C} + C V (1 - e^{- t / R C})$

$= (C V + 2 C V e^{- t / 2 R C})$

$i = \frac{d θ}{d t} = 2 C V \times \frac{e^{- t / 2 R C}}{2 R C}$

$q = C (V + 2 V e^{(\frac{- t}{2 R C})})$

$S o, t h e$ $c o r r e c t$ $o p t i o n : C$

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A capacitor is initially connected to a battery of EMF3V. At t=0, switch is thrown to B state. Now charge on capacitor at any instant is given by :

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