A) 100 \[\Omega \]
B) 272.6 \[\Omega \]
C) 217.2 \[\Omega \]
D) 205.5\[\Omega \]
Correct Answer: A
Solution :
\[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] \[=\sqrt{{{R}^{2}}+{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}}}\] \[=\sqrt{{{(100)}^{2}}+{{\left( 314-1-\frac{1}{314\times 10\times {{10}^{-6}}} \right)}^{2}}}\]\[=100\,\Omega \]
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