MHT CET · Physics · Alternating Current
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)
- 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 \(i \doteq 0, i_{L} \neq i_{C}\)
Answer & Solution
Correct Answer
(A) \(i \doteq 0, i_{L}=i_{C} \neq 0\)
Step-by-step Solution
Detailed explanation
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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