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 nr, then the current lags behind voltage when

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 nr, then the current lags behind voltage when (A) n = 0 (B) n < nr (C) n = nr (D) n > nr

Tardigrade Admin · Accepted Answer

The current will lag behind the voltage when reactance of inductance is more than the reactance of condenser.
Thus,

ω L > \frac{1}{ω C}

or

ω > \frac{1}{L C}

or

n > \frac{1}{2 π L C}

or

n > n_{r}

, where

n_{r} =

resonant frequency

Q. 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 $n_{r}$ , then the current lags behind voltage when

$n = 0$

$n < n_{r}$

$n = n_{r}$

$n > n_{r}$

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

Q. 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 nr​, then the current lags behind voltage when

n=0

n<nr​

n=nr​

n>nr​