An RLC series circuit has a 2.25 Ω resistor, a 95 μH inductor, and a 77.5 μF capacitor. a) Find the circuit’s impedance, in ohms, at 105 Hz.  b) Find the circuit’s impedance, in ohms, at 4.5 kHz.  c) If the voltage source supplies an rms voltage of 5.68 V, what is the circuit’s rms current, in amperes, at a frequency of 105 Hz?  d) If the voltage source supplies an rms voltage of 5.68 V, what is the circuit’s rms current, in amperes, at a frequency of 4.5 kHz?  e) What is the resonant frequency, in kilohertz, of the circuit?  f) What is the rms current, Irms, in amperes, at resonance?

College Physics
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ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter23: Electromagnetic Induction, Ac Circuits, And Electrical Technologies
Section: Chapter Questions
Problem 101PE: An RLC series circuit has a 2.50 (resistor, a 100 (H inductor, and an 80.0 (F capacitor. (a) Find...
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An RLC series circuit has a 2.25 Ω resistor, a 95 μH inductor, and a 77.5 μF capacitor.

a) Find the circuit’s impedance, in ohms, at 105 Hz. 

b) Find the circuit’s impedance, in ohms, at 4.5 kHz. 

c) If the voltage source supplies an rms voltage of 5.68 V, what is the circuit’s rms current, in amperes, at a frequency of 105 Hz? 

d) If the voltage source supplies an rms voltage of 5.68 V, what is the circuit’s rms current, in amperes, at a frequency of 4.5 kHz? 

e) What is the resonant frequency, in kilohertz, of the circuit? 

f) What is the rms current, Irms, in amperes, at resonance? 

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