In a A.C. circuit V = 100 sin ωt V and 

, then average power loss will be:

CONCEPT:

• The ac circuit containing the capacitor, resistor, and the inductor is called an LCR circuit.
• For a series LCR circuit, Impedance (Z) of the circuit is given by:
  
  Where R = resistance, XL =induvtive reactance and XC = capacitive reactive

• The average power loss (P) in an A.C circuit is given by:

Where Vrms = RMS voltage in the circuit, Irms  = RMS current in the circuit, Φ = phase angle between the voltage and the current. 

EXPLANATION:

​Given - Potential difference (V) = 100 sin ωt V and 

Therefore, the peak voltage (E_o) = 100, peal current (I_o) = 100 and phase difference (θ) = π/3 

• The average power loss (P) in an A.C circuit is given by:

NOTE:

• There is no loss of energy in the capacitor and inductor in any circuit. They only store energy.
• The loss of energy is only due to a resistor.