Question

Find the impedance of the given circuit for (i) direct current, (ii) alternating current of frequency $\left({10}^4/\pi \right)kHz$.

Answer 1

Ans- (i)

Since in Direct Current capacitor does not allow current and act as open circuit, so its resistance is $infinite$.

Ans-(ii)

In AC, $X_C=\frac{1}{\omega C}=\frac{1}{2\pi fC}$

$=\frac{1}{2\pi \left(\frac{{10}^4}{\pi }\right)(20\times {10}^{-6})}$

$=2.5\Omega$

So, total resistance $=20+2.5=22.5\Omega$