Question

Assertion :When capacitive reactance is smaller than the inductive reactance in LCR current, e.m.f. leads the current . Reason: The phase angle is the angle between the alternating e.m.f. and alternating current of the circuit

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is B Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

The phase angle for the LCR circuit is given by
$tan\varphi =\frac{X_L-X_C}{R}=\frac{\omega L-1/\omega C}{R}$
Where $X_L,X_C$ are inductive reactance and capacitive reactance respectively when $X_L>X_C$ then $tan\varphi$ is positive i.e., $\varphi$ is positive (between $0$ and $\pi /2$ ) . Hence emf leads the current.

The phase angle is the angle between the alternating e.m.f. and alternating current of the circuit

hence option B is correct.