Question

2. A resistance of 20 ohm, inductance of 0.2 H and capacitance of 150 uF are connected in series
and are
ſed by a 230 V, 50 Hz supply. Find X1, Xc, Z, Y,p.ſ., active power and reactive power.​

Answer 1

Answer:

ohm, inductance of 0.2 H and capacitance of 150 uF are connected in series - 28108929. ... ſed by a 230 V, 50 Hz supply. Find X1, Xc, Z, Y,p.ſ.

Answer 2

Answer:

Please refer to the explanation for answer

Explanation:

Given,

Resistance (R)= 20 ohm, Inductance (L)= 0.2H, Capacitance = 150μF

All are connected in series.

Voltage = 230 V, frequency = 50Hz

$X_L={2\pi f L}= 62.8$Ω

$X_C=\frac{1}{2\pi fC}=21.2$Ω

$X=X_L-X_C=41.6$   Ω

$I= V/Z= \frac{230}{46.2}=4.97A$

$|Z|=\sqrt{R^2+X^2}=\sqrt{20^2+41.6^2}=46.2$  Ω

$Z=R+jX=20+j41.6$

$\phi =tan^{-1}\frac{Z}{R} =64.3$

Y=$\frac{1}{Z}=\frac{1}{46.2}=0.0216$

$p.f = cos\phi=0.433$

Active power = $VI cos\phi= 230*4.97*0.433=494.9623$

Reactive power =$VI sin\phi= 230*4.97*sin(64.3)=1030 Watt$