A) \[200\,\Omega \]
B) \[100\,\Omega \]
C) \[300\,\Omega \]
D) \[500\,\Omega \]
Correct Answer: D
Solution :
\[{{X}_{L}}=2\pi fL\] \[=2\pi \left( \frac{50}{\pi } \right)\times 1=100\Omega \] \[{{X}_{C}}=\frac{1}{2\pi fC}=\frac{1}{2\pi \left( \frac{50}{\pi } \right)20\times {{10}^{-6}}}=500\Omega \] Impedance, \[Z=\sqrt{{{R}^{2}}+{{({{X}_{C}}-{{X}_{L}})}^{2}}}\] \[Z=\sqrt{{{(300)}^{2}}-{{(400)}^{2}}}=500\,\Omega \]
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