An electric bulb, a capacitor, battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turned on?

Continues to increase gradually

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Gradually increases for some time and then becomes steady.

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Sharply rises initially and then gradually decreases

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Gradually increases for some then time and then gradually decreases

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Solution

The correct option is C Sharply rises initially and then gradually decreases
$I (t) = \frac{ε}{R} e^{- t / R C}$
Intensity $α I^{2} R = ε^{2} R e^{- 2 t / R C}$ .

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An electric bulb, a capacitor, battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turned on?

The correct option is C Sharply rises initially and then gradually decreasesI(t)=εRe−t/RCIntensity αI2R=ε2Re−2t/RC.

The correct option is C Sharply rises initially and then gradually decreases
$I (t) = \frac{ε}{R} e^{- t / R C}$
Intensity $α I^{2} R = ε^{2} R e^{- 2 t / R C}$ .