| Assertion: When capacitive reactance is smaller than the inductive reactance in LCR series, 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) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: B
Solution :
The phase angle for the LCR series circuit is given by \[\tan \theta =\frac{{{X}_{L}}-{{X}_{C}}}{R}=\frac{\omega L-1/\omega C}{R}\] where \[{{X}_{L}}\], \[{{X}_{C}}\] are inductive reactance and capacitive reactance respectively. When \[{{X}_{L}}>{{X}_{C}}\]then \[\tan \theta \]is positive i.e., \[\theta \]is positive (between 0 and \[\frac{\pi }{2}\]). Hence e.m.f. leads the current.
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