In a series LCR a.c. circuit, is the applied instantaneous voltage equal to the algebraic sum of the instantaneous voltage across the series elements of the circuit? Is the same true for r.m.s. voltage?

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 circuit.
i.e., ε = ε_L + ε_C + ε_R

where, ε is the instantaneous voltage.

But, the same is not true for r.m.s. voltage.

In case of r.m.s. voltage we have,

ε = \sqrt{ε_{R}^{2} + (ε_{L} ~ ε_{C})^{2}}

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Electrostatic Potential And Capacitance

In a series LCR a.c. circuit, is the applied instantaneous voltage equal to the algebraic sum of the instantaneous voltage across the series elements of the circuit? Is the same true for r.m.s. voltage?

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