Average power - Physics 152 (or Phys 2) question

Question

The resistor in a series RCL circuit has a resistance of 94.0 Ω, while the rms voltage of the generator is 6.00 V. At resonance, what is the average power delivered to the circuit?

Answer 1

Hello Ross;

R = 94.0 Ω, V_rms = 6.00 V

Conceptual steps

1) Calculate the current (I_rms):

I_rms = V_rms / Z

2) Calculate the impedance (Z):

At resonance, X_L = X_C

Z = √(R² + 0) = R

At resonance P_avg = V_rms² / R

Substituting the given values:

P_avg = (6.00)² / 94.0 ≈ 0.385 W

Therefore, at resonance, the average power delivered to the circuit is approximately 0.385 Watts.