in a certain series rlc circuit irms 900 a vrms 175 v and the current leads the voltage by 310 a

Name: in a certain series rlc circuit irms 900 a vrms 175 v and the current leads the voltage by 310 a what is the total resistance in of the circuit b calculate the reactance in of the 67492
Uploaded: 2023-04-06T13:40:04-08:00
Duration: 5 min 35 s
Channel: Madhur L
Description: in a certain series rlc circuit irms 900 a vrms 175 v and the current leads the voltage by 310 a what is the total resistance in of the circuit b calculate the reactance in of the 67492

(a) We know that the power factor (PF) is given by the cosine of the phase angle between the cur

Question

In a certain series RLC circuit, Irms = 9.00 A, ΔVrms = 175 V, and the current leads the voltage by 31.0°. (a) What is the total resistance (in Ω) of the circuit? _ Ω (b) Calculate the reactance (in Ω) of the circuit (XL - XC). Ω (c) What if? If the voltage in the circuit is maintained by an AC source operating at f = 60.0 Hz and the resonant frequency of the circuit is f0 = 90.0 Hz, what are the values of C (in µF) and L (in mH) in the circuit? C = µF L = __ mH

          In a certain series RLC circuit, Irms = 9.00 A, ΔVrms = 175 V, and the current leads the voltage by 31.0°.

(a) What is the total resistance (in Ω) of the circuit?
_________ Ω

(b) Calculate the reactance (in Ω) of the circuit (XL - XC).
__________ Ω

(c) What if? If the voltage in the circuit is maintained by an AC source operating at f = 60.0 Hz and the resonant frequency of the circuit is f0 = 90.0 Hz, what are the values of C (in µF) and L (in mH) in the circuit?
C = ________ µF
L = ________ mH

Added by Fred R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

04/06/2023

Step 1

In this case, the phase angle is 31.0°, so the power factor is: PF = cos(31.0°) = 0.857 Now, we can find the total resistance (R) using the formula: R = ΔVrms / (Irms * PF) R = 175 V / (9.00 A * 0.857) R = 175 V / 7.71 A R = 22.7 Ω So, the total resistance Show more…

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In a certain series RLC circuit, Irms = 9.00 A, ΔVrms = 175 V, and the current leads the voltage by 31.0°. (a) What is the total resistance (in Ω) of the circuit? _________ Ω (b) Calculate the reactance (in Ω) of the circuit (XL - XC). __________ Ω (c) What if? If the voltage in the circuit is maintained by an AC source operating at f = 60.0 Hz and the resonant frequency of the circuit is f0 = 90.0 Hz, what are the values of C (in µF) and L (in mH) in the circuit? C = ________ µF L = ________ mH