Answer:
1022.485 Watt
Explanation:
resistance, R = 12 ohm
Inductive reactance, XL = 15 ohm
Capacitive reactance, Xc = 10 ohm
Vrms = 120 V
Power is given by
P = Vrms x Irms x CosФ
Where, CosФ is called power factor
CosФ = R / Z
Where Z is the impedance
Irms = Vrms / Z
So,
[tex]P = \frac{\left (V_{rms}^{2}\times R \right )}{Z^{2}}[/tex]
[tex]Z = \sqrt{R^2+\left ( X_{L}-X_{c} \right )^{2}}[/tex]
[tex]Z = \sqrt{12^2+\left ( 15-10 \right )^{2}}[/tex]
Z = 13 ohm
So,
[tex]P = \frac{\left (120^{2}\times 12 \right )}{13^{2}}[/tex]
P = 1022.485 W
Thus, the power is 1022.485 Watt.
