Question

For the given AC RLC circuit, at a particular frequency of the AC source, the phase difference between the voltage and the current is -


The voltage shown across the components are peak values.

• A. Voltage leads the current by ${37}^{\circ }$.
• B. Voltage leads the current by ${53}^{\circ }$.
• C. Current leads the voltage by ${37}^{\circ }$.
• D. Current leads the voltage by ${53}^{\circ }$.

Answer 1

The correct option is A Voltage leads the current by ${37}^{\circ }$.


We know that,

$\tan \varphi =\frac{V_{Lm}-V_{Cm}}{V_{Rm}}$

$\Rightarrow \tan \varphi =\frac{100-40}{80}=\frac{3}{4}$

$\Rightarrow \varphi ={37}^{\circ }$

$\Rightarrow$ Voltage leads the current by ${37}^{\circ }$.

Hence, option $\left(A\right)$ is the correct answer.