A) \[510\,\,\Omega \]
B) \[200\,\,\Omega \]
C) \[250\,\,\Omega \]
D) \[300\,\,\Omega \]
Correct Answer: A
Solution :
Impedance for an R-C circuit is given by \[Z=\sqrt{{{R}^{2}}+X_{C}^{2}}=\sqrt{{{R}^{2}}+{{\left( \frac{1}{\omega C} \right)}^{2}}}\] \[=\sqrt{{{(100)}^{2}}+{{\left( \frac{1}{100\times 20\times {{10}^{-6}}} \right)}^{2}}}\] \[=\sqrt{{{10}^{4}}+25+{{10}^{4}}}\] \[=100\sqrt{\,26}\] \[\approx 510\,\Omega \]
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