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Ohm's Law in Scalar Form

In a L-C ci...

Question

In a $L - C$ circuit connected to an $A C$ source the potential difference across $L$ is $50 V$ and that across $C$ is $30 V$ . Find the voltage of the source.

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Solution

Since the phase difference $(ϕ)$ of voltage across capacitor and across inductor is differ by $180^{0}$
So, the voltage of the source = Potential across inductor - Potential across capacitor
$= 50 V - 30 V$
$= 20 V$

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