A resistance of $55 \Omega$, a capacitor of capacitive reactance $30 \Omega$, and an inductor of inductive reactance $30 \Omega$ are connected in series to a $110 - \mathrm { V } \mathrm { rms } , 60 - \mathrm { Hz }$ power source. What rms current flows in this circuit?
A) less than $2.0 \mathrm {~A}$
B) $2.0 \mathrm {~A}$
C) more than $2.0 \mathrm {~A}$
D) none of the given answers

Question

Quizplus · Accepted Answer

The total impedance $Z$ is the resistance $R$ since the reactances cancel each other out ($X_L = X_C$). Thus, $Z = 55 \Omega$. The rms current $I$ is $V/Z = 110 \, \text{V} / 55 \, \Omega = 2.0 \, \text{A}$.

A Resistance Of 55Ω55 \Omega55Ω , a Capacitor of Capacitive Reactance 30Ω30 \Omega30Ω

A Resistance Of $55 \Omega$ , a Capacitor of Capacitive Reactance $30 \Omega$