An LCR series circuit has inductor L = 15mH , Capacitor$ C = 22\mu F$ and resistor $ R = 200\Omega$ . Select the correct value for impedance of the circuit at the source frequency of 1kHz.
Answer & explanation
Correct answer: option 3
$ Impedance, Z = \sqrt{R^2 + (X_C - X_L)^2}$
$ R = 200\Omega , X_C = \frac{1}{2\pi fC} = 7.25\Omega , X_L = 2\pi fL = 94.25\Omega $
$ X_L -X_C = 87\Omega$
$ Z = \sqrt{200^2 + 87^2} = 218 \Omega$