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The battery is charged from full wave rectifier fed by a sinusoidal voltage (see figure). Ideal diodes, ammeter and voltmeter show the time-average value. At idle with only key \( \mathrm{K}_{1} \) closed, voltmeter shows
\( \mathrm{P} \) \( 12 \mathrm{~V} \), and current is then absent, ie, reading of ammeter is 0 . If only the key \( \mathrm{K}_{2} \) is closed, the voltmeter shows battery voltage at \( 12.3 \mathrm{~V} \). During charging, when the \( \mathrm{K}_{1} \) and \( \mathrm{K}_{2} \) are closed, the voltmeter shows
W \( 12.8 \mathrm{~V} \) and ammeter shows \( 5 \mathrm{~A} \). find the internal resistance of battery.
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