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An uncharged capacitor is connected to a...

An uncharged capacitor is connected to a battery. Show that half the energy supplied by the battery is lost as heat while charging the capacitor.

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If an uncharged capacitor is connected to a battery, then show that half of the energy supplied by the battery to charge the capacitor is dissipated as heat.

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Assertion: When an uncharged capacitor is connected across a battery, half the work done by the battery is stored as electric potential energy inside the capacitor and remaining half is dissipated in the form of heat. Reason: When an uncharged capacitor is connected across the battery then potential difference between the plates of capacitor increases from zero to the value of EMF of battery but battery supplies charge at the constant potential difference.

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