A) 57.320\[\Omega \]
B) 79.480\[\Omega \]
C) 89.50\[\Omega \]
D) 99.10\[\Omega \]
Correct Answer: D
Solution :
\[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}=\sqrt{{{R}^{2}}+{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}}}\] \[=\sqrt{{{(25)}^{2}}+{{\left\{ 314\times 0.1-\frac{1}{314\times 25\times {{10}^{-6}}} \right\}}^{2}}}\] \[=99.1\,\Omega \]
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