Engineering Board Exam Reviewer · RLC Circuits and Resonance · medium
In the series RLC circuit shown, a 312 V (rms) source with =2000 rad/s is connected to R=72, , L=40 mH, and C=10, F. Describe the circuit's behavior at this frequency.
- capacitive, current leads the voltage by 22.6°
- inductive, current leads the voltage by 22.6°
- resistive, current is in phase with the voltage
- inductive, current lags the voltage by 22.6°
Answer
D. inductive, current lags the voltage by 22.6°
Solution
XL= L=(2000)(40 mH)=80, and XC=1/ C= 1(2000)(10, F)=50, . The net reactance is X=XL-XC=30, (inductive). Because XL>XC the circuit is inductive, so the current lags. = -1!≤ft(|X|/R )= -1!≤ft(30, /72, )=22.6°.
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