A 0.2(k\Omega) resistor and (15\mu F) capacitor are connecte... | PHYSICS - AC VOLTAGE APPLIED TO A SERIES LCR CIRCUIT | SolveeIt

A 0.2 $k\Omega$ resistor and $15\mu F$ capacitor are connected in series to a 220 V, 50 Hz ac source. The impedance of the circuit is

$\text{250 }\Omega$

$\text{268 }\Omega$

$\text{29.15 }\Omega$

$\text{291.5 }\Omega$

Answer

$\text{291.5 }\Omega$

Explanation

: Here, , $R = 0.2K\Omega = 200\Omega$

$C = 15\mu F = 15 \times 10^{- 6}F$

$V_{rms} = 220V,\upsilon = 50Hz$

Capacitive reactance, $X_{C} = \frac{1}{2\pi\upsilon C}$

$= \frac{1}{2 \times 3.14 \times 50 \times 15 \times 10^{- 6}}$

$= 212\Omega$

The impedance of the RC circuit is,

$Z = \sqrt{R^{2} + X_{C}^{2}} = \sqrt{(200)^{2} + (212)^{2}} = 291.5\Omega$

Question: A 0.2\(k\Omega\) resistor and \(15\mu F\) capacitor are connected in series to a 220 V, 50 Hz ac sou...