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It takes to hours for a direct current I0 to charge a storage battery. How long will it take to charge such a battery

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It takes to hours for a direct current I0 to charge a storage battery. How long will it take to charge such a battery from the mains using a half-wave rectifier, if the effective current value is also equal to I0?

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The a.c current must be

The D.C. component of the rectified current is

Since the charge deposited must be the same

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