A $120 - \mathrm { V }$ rms voltage at $1000 \mathrm {~Hz}$ is applied to a series $R L C$ circuit with an equal value of inductive and capacitive reactance and a $200 - \Omega$ resistance. What is the impedance of this circuit?
A) $100 \Omega$
B) $120 \Omega$
C) $200 \Omega$
D) $0 \Omega$
E) $240 \Omega$

Question

Quizplus · Accepted Answer

In a series RLC circuit where the inductive reactance ($X_L$) equals the capacitive reactance ($X_C$), the two reactances cancel each other out. This leaves only the resistance ($R$) to contribute to the total impedance ($Z$). Therefore, the impedance of the circuit is equal to the resistance, which is $200 \Omega$.

A 120−V120 - \mathrm { V }120−V Rms Voltage At 1000 Hz1000 \mathrm {~Hz}1000 Hz

A $120 - \mathrm { V }$ Rms Voltage At $1000 \mathrm {~Hz}$