A resistor, inductor, and capacitor are in series with an AC power supply. The amplitude of the current in the circuit is found to be 2.00 A. The capacitance is 0.04 F (40 mF). The inductance is 0.50 H. The driving frequency is 10 rad/s. (a) Find the amplitude of the voltage across the capacitor. (b) Find the amplitude of the voltage across the inductor. (c) Suppose that the amplitude of the voltage across the resistor is the same as the value you found in (a). Draw the phasor diagram.

University Physics Volume 2
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ISBN:9781938168161
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Chapter15: Alternating-current Circuits
Section: Chapter Questions
Problem 62CP: A 1.5k resistor and 30-mH inductor are connected in series, as below, across a120-V(rms)ac power...
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A resistor, inductor, and capacitor are in series with an AC power supply. The amplitude of the current in the circuit is found to be 2.00 A. The capacitance
is 0.04 F (40 mF). The inductance is 0.50 H. The driving frequency is 10 rad/s.
(a) Find the amplitude of the voltage across the capacitor.
(b) Find the amplitude of the voltage across the inductor.
(C) Suppose that the amplitude of the voltage across the resistor is the same as the value you found in (a). Draw the phasor diagram.
(d) Is this circuit in resonance? Explain.
(e) Find the amplitude of the voltage of the power supply.
Transcribed Image Text:A resistor, inductor, and capacitor are in series with an AC power supply. The amplitude of the current in the circuit is found to be 2.00 A. The capacitance is 0.04 F (40 mF). The inductance is 0.50 H. The driving frequency is 10 rad/s. (a) Find the amplitude of the voltage across the capacitor. (b) Find the amplitude of the voltage across the inductor. (C) Suppose that the amplitude of the voltage across the resistor is the same as the value you found in (a). Draw the phasor diagram. (d) Is this circuit in resonance? Explain. (e) Find the amplitude of the voltage of the power supply.
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