A sinusoidal voltage Δv = 35.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 180 mH, C = 99.0 µF, and R = 67.0 Ω. (a)What is the impedance (in Ω) of the circuit? Ω (b)What is the maximum current (in A)? A (c)Determine the numerical value for ? (in rad/s) in the equation i = Imax sin(?t − ?).

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter33: Inductors And Ac Circuits
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A sinusoidal voltage Δv = 35.0 sin(100t), where Δv is in volts and t is in seconds, is applied to a series RLC circuit with L = 180 mH, C = 99.0 µF, and R = 67.0 Ω.
 
(a)What is the impedance (in Ω) of the circuit?
 Ω
(b)What is the maximum current (in A)?
 A
(c)Determine the numerical value for ? (in rad/s) in the equation i = Imax sin(?t − ?).
 rad/s
(d)Determine the numerical value for ? (in rad) in the equation i = Imax sin(?t − ?).
 rad
(e)What If? For what value of the inductance (in H) in the circuit would the current lag the voltage by the same angle ? as that found in part (d)?
 H
(f)What would be the maximum current (in A) in the circuit in this case?
 A
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