A) \[{{E}^{2}}R/\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]\]
B) \[\frac{{{E}^{2}}\sqrt{{{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}}}}{R}\]
C) \[\frac{{{E}^{2}}\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}{R}\]
D) \[\frac{{{E}^{2}}R}{\sqrt{{{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}}}}\]
Correct Answer: A
Solution :
\[P=\frac{{{E}_{0}}{{I}_{0}}}{2}\,\,\cos \,\phi \] \[=\,\,{{E}_{rms}}\,\,{{I}_{rms}}\,\,\times \frac{R}{Z}\,\,=\,\,\frac{{{E}^{2}}R}{{{R}^{2}}+{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}}}\]
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