Series LRC Circuits Video Lessons

Concept

# Problem: You have a 193 – Ω resistor, a 0.403 – H inductor, a 5.02 - µF capacitor, and a variable-frequency ac source with an amplitude of 3.07 V. You connect all four elements together to form a series circuit.Part A. At what frequency will the current in the circuit be greatest?Part B. What will be the current amplitude at this frequency?Part C. What will be the current amplitude at an angular frequency of 409 rad/s?Part D. At this frequency, will the source voltage lead or lag the current?a. the source voltage leads the currentb. the source voltage lags the current

###### FREE Expert Solution

We are connecting a resistor, inductor, and capacitor in series to form a series LRC circuit.

Part A.

Minimum impedance occurs at the resonant frequency. The current is maximum when the impedance is minimum.

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###### Problem Details

You have a 193 – Ω resistor, a 0.403 – H inductor, a 5.02 - µF capacitor, and a variable-frequency ac source with an amplitude of 3.07 V. You connect all four elements together to form a series circuit.

Part A. At what frequency will the current in the circuit be greatest?

Part B. What will be the current amplitude at this frequency?

Part C. What will be the current amplitude at an angular frequency of 409 rad/s?

Part D. At this frequency, will the source voltage lead or lag the current?
a. the source voltage leads the current
b. the source voltage lags the current