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RLC Circuit

A resistor R,...

Question

A resistor R, an inductor L and a capacitor C are connected in series to an oscillator of frequency n. If the resonant frequency is , then the current lags behind voltage, when

A

n = 0

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B

n < n_{r}

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C

n = n_{r}

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D

n > n_{r}

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Solution

The correct option is D $n > n_{r}$
The current will lag behind the voltage when reactance of inductance is more than the reactance of condenser. Thus, $ω L > \frac{1}{w C}$ or $ω > \frac{1}{\sqrt{L C}}$ or $n > \frac{1}{2 π \sqrt{L C}}$ or $n > n_{r}$ where $n_{r}$ = resonant frequency

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