A) \[250\,\Omega \]
B) \[268\,\Omega \]
C) \[29.15\,\Omega \]
D) \[291.5\,\Omega \]
Correct Answer: C
Solution :
(c) Here, \[R=0.2\,k\,\Omega =200\,\Omega \] \[C=15\mu F=15\times {{10}^{-6}}F,{{V}_{rms}}=220\,V,\,v=50\,Hz\] Capacitive reactance, \[{{X}_{C}}=\frac{1}{2\pi vC}=\frac{1}{2\times 3.14\times 50\times 15\times {{10}^{-6}}}=212\,\Omega \] The impedance of the RC circuit is \[Z=\sqrt{{{R}^{2}}+X_{C}^{2}}=\sqrt{{{(200)}^{2}}+{{(212)}^{2}}}=291.5\,\Omega \]
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