Answer:
16.35175 Ω
646.27188 W
Explanation:
R = Resitance = 16.3 Ω
[tex]X_L[/tex] = Inductive resistance = 1.29 Ω
[tex]V_r[/tex] = RMS voltage = 120 V
The impedance of an LC circuit is given by
[tex]Z=\sqrt{R^2+X_L^2}\\\Rightarrow Z=\sqrt{16.3^2+1.3^2}\\\Rightarrow X=16.35175\ \Omega[/tex]
The impedance of the air conditioner is 16.35175 Ω
The average rate of energy is given by
[tex]P_a=I_r^2R\\\Rightarrow P_a=\left(\frac{V_r}{Z}\right)^2R\\\Rightarrow P_a=\left(\frac{120}{16.35175}\right)^2\times 12\\\Rightarrow P_a=646.27188\ W[/tex]
The average rate at which energy is supplied to the appliance is 646.27188 W
