A parallel combination of pure inductor and capacitor is connected across a source of alternating e.m.f. 'e'…
A parallel combination of pure inductor and capacitor is connected across a source of alternating e.m.f. 'e'. The currents flowing through an inductor and capacitor are
$i_{L}$ and $i_{C}$ respectively. In this parallel resonant circuit, the condition for currents $i$,
$i_{L}$ and $i_{C}$ is ( $i=$ net $\mathrm{r}$.m.s. current in the circuit)
$i \doteq 0, i_{L}=i_{C} \neq 0$
$i \neq 0, i_{L}=i_{C}=0$
$i \doteq i_{L}=i_{C}$
$i \doteq 0, i_{L} \neq i_{C}$
Solution
In parallel resonant circuit, the capacitive and inductive reactance are equal, hence currents are equal but $180^{\circ}$ out of phase with each other. The net current is zero. $\therefore \mathrm{i}=0, \mathrm{i}_{2}=\mathrm{i}_{\mathrm{c}} \neq 0$