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Home » 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 and respectively. In this parallel resonant circuit, the condition for currents , and is ( net r.m.s. current in the circuit) (A) (B) (C) (D)
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 r.m.s. current in the circuit) (A)i \doteq 0, i_{L}=i_{C} \neq 0 (B)i \neq 0, i_{L}=i_{C}=0 (C)i \doteq i_{L}=i_{C} (D) i \doteq 0, i_{L} \neq i_{C}
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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 r.m.s. current in the circuit) (A)i \doteq 0, i_{L}=i_{C} \neq 0 (B)i \neq 0, i_{L}=i_{C}=0 (C)i \doteq i_{L}=i_{C} (D) i \doteq 0, i_{L} \neq i_{C}

The correct option is option (A)i \doteq 0, i_{L}=i_{C} \neq 0

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

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