First slide

AC Circuits

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 n_r , then the current lags behind voltage, when

Moderate

A

$n =0$
B

$n < n_{r}$
C

$n = n_{r}$
D

$n > n_{r}$

Solution

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

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