Question

For \( V = 120 \, \text{V} \), find the resonant current \( I_0 \).

Hint:

At resonance in an AC circuit, the resonant current \( I_0 \) is given by \( I_0 = \frac{V}{R} \), where \( V \) is the voltage and \( R \) is the resistance.

Answer 1

At resonance the circuit's inductive and capacitive reactances cancel each other out exactly, leaving only resistance to oppose the current. So the resonant current follows plain Ohm's law, \( I_0 = V/R = 120/R \), where \( R \) is whatever resistance the circuit carries.