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  4. In a series C R circuit shown in the figure, the applied voltage is 10 V and the voltage across capacitor is found to be 8 V. If the phase difference between current and the applied voltage will be tan -1((p/q)), then find p q.

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Q. In a series $C R$ circuit shown in the figure, the applied voltage is $10 \,V$ and the voltage across capacitor is found to be $8\, V$. If the phase difference between current and the applied voltage will be $\tan ^{-1}\left(\frac{p}{q}\right)$, then find $p q$.Physics Question Image

Alternating Current

Solution:

$V_{R}^{2}+V_{C}^{2}=100$
$V_{R}^{2}+64=100$
$ \Rightarrow V_{R}=6 \,V$
$\tan \phi=\frac{V_{C}}{V_{R}}=\frac{8}{6}=\frac{4}{3}$