What is the average power dissipated in a series LCR circuit with resistance R, inductance L, capacitance C and applied RMS emf ε at angular frequency ω?
Options

Question

What is the average power dissipated in a series LCR circuit with resistance R, inductance L, capacitance C and applied RMS emf ε at angular frequency ω?

G1 Physics · Accepted Answer

Step 1: The total impedance magnitude of a series LCR circuit is Z = √[R²+(ωL−1/(ωC))²]. Step 2: If the symbol ε in this question denotes RMS source emf (the source's convention), I_rms=ε/Z. Step 3: Only the resistance dissipates average power, so P=I_rms² R. Step 4: Substitute I_rms to get P=ε²R/[R²+(ωL−1/(ωC))²]. Final answer: (A) ε²R/[R² + (ωL − 1/(ωC))²].