In an $\mathrm{AC}$ circuit, the current is $i=5 \sin \left(100 t-\frac{\pi}{2}\right) \mathrm{A}$ and…

In an $\mathrm{AC}$ circuit, the current is $i=5 \sin \left(100 t-\frac{\pi}{2}\right) \mathrm{A}$ and voltage is $e=200 \sin (100 t)$ volt. Power consumption in the circuit is $\left(\cos 90^{\circ}=0\right)$
  1. $200\ W$
  2. $0\ W$
  3. $40\ W$
  4. $1000\ W$

Solution

$\begin{aligned} \mathrm{P} & =\mathrm{I}_{\mathrm{rms}} \mathrm{V}_{\mathrm{rms}} \cos \phi \\ \phi & =90^{\circ} \\ \therefore \quad \mathrm{P} & =0 \quad\left(\because \cos 90^{\circ}=0\right)\end{aligned}$

Asked in: MHT CET 2023 (09 May Shift 1)

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