Question

Which circuit equation results from applying Kirchhoff's Voltage Law around the series LCR loop?

Options

• \[L\frac{di}{dt}+iR=v_m\sin\omega t\]

• \[L\frac{di}{dt}+iR+\frac{q}{C}=v_m\sin\omega t\]

• \[L\frac{di}{dt}+\frac{q}{C}=v_m\sin\omega t\]

• \[iR+\frac{q}{C}=v_m\sin\omega t\]

Answer 1

The circuit equation includes the inductor, resistor, and capacitor terms: \[L\frac{di}{dt}+iR+\frac{q}{C}=v_m\sin\omega t\]. Each incorrect option omits one of the three elements connected in series.