In the circuit given below, the current through inductor is $0.9 \mathrm{~A}$ and through the capacitor is…

In the circuit given below, the current through inductor is $0.9 \mathrm{~A}$ and through the capacitor is $0.6 \mathrm{~A}$. The current drawn from the a.c. source is
  1. $1.5 \mathrm{~A}$
  2. $0.9 \mathrm{~A}$
  3. $0.6 \mathrm{~A}$
  4. $0.3 \mathrm{~A}$

Solution

As the currents in an inductor and capacitor are out of phase by $180^{\circ}$, we can write Current through the capacitor $\mathrm{I}_{\mathrm{C}}=0.9 \mathrm{~A}$ Current through the inductor $\mathrm{I}_{\mathrm{L}}=-(0.6 \mathrm{~A})$ $\begin{aligned} \therefore \quad \text { Total current drawn from the source } & =\mathrm{I}_{\mathrm{C}}+\mathrm{I}_{\mathrm{L}} \\ & =0.9-0.6 \\ & =0.3 \mathrm{~A} \end{aligned}$

Asked in: MHT CET 2023 (10 May Shift 2)

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