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In AC supply, the RMS current is the effective current for power used in a resistive circuit. This is defined as the square root of the mean value of the square of the current, taken over a whole cycle. The RMS current dissipates power at the same rate as a DC current of the same value. A light bulb of course gives out light dependent on the current through the filament. So if the RMS current and the DC current are the same value, the light produced will be equal.

With AC supply, the RMS value of current and volts is 1/(square root of 2) x the peak value, so peak value = 1.414 x RMS value. If you supplied DC at volts and current equal to the peak AC value, the power given to the light bulb would clearly be greater.

Therefore to answer your question you have to specify what relative values your AC and DC supplies have.

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Q: AC or DC supply is given to a bulb which gives more illumination?
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