| Assertion: At resonance, LCR series circuit, have maximum current. |
| Reason: At resonance, in LCR series circuit, the current and e.m.f. are in phase with each other. |
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 :
At resonance \[{{X}_{L}}={{X}_{C}}\]or\[\omega L=\frac{1}{\omega C}\]. Because of this impedance of LCR series become equal to resistance of circuit \[\left( Z=\sqrt{{{R}^{2}}+{{\left( {{X}_{L}}-{{X}_{C}} \right)}^{2}}} \right)\]. Therefore from \[I=\frac{E}{Z}=\frac{E}{R'}\]at resonance, current in LCR series. Circuit is maximum. Correspondingly phase angle is also equal to zero. Therefore emf and current are in phase in LCR series circuit.
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