A) \[\frac{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}{V}\]
B) \[\frac{{{V}^{2}}R}{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}\]
C) \[\frac{V}{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}\]
D) \[\frac{\sqrt{{{R}^{2}}+{{\omega }^{2}}{{L}^{2}}}}{{{V}^{2}}}\]
Correct Answer: B
Solution :
\[P=Vi\cos \varphi =V\ \left( \frac{V}{Z} \right)\ \left( \frac{R}{Z} \right)=\frac{{{V}^{2}}R}{{{Z}^{2}}}\]\[=\frac{{{V}^{2}}R}{({{R}^{2}}+{{\omega }^{2}}{{L}^{2}})}\]
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