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Question

In an ac circuit, the applied instantaneous voltage equal to the algebraic sum of the instantaneous voltages across the series elements of the circuit? IS the same true for rms voltage?

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Solution

Yes, in a series LCR circuit, applied instantaneous voltage is equal to the algebraic sum of the instantaneous voltage across all the series elements in the circuits.
E=EL+EC+ER
where, E is the instantaneous voltage.

But, the same is not true for r.m.s. voltage.
In Case of r.m.s. voltage, we have,
E=E2R+(ELEC)2

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