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An LRC series circuit with R= 150 ohms, L= 25mH, and C=2.0 mircro F is powered b

ID: 2171279 • Letter: A

Question

An LRC series circuit with R= 150 ohms, L= 25mH, and C=2.0 mircro F is powered by an ac voltage source of peak voltage of V= 340 V and frequency of f=660 Hz. a) determine the peak current that flows in this ciruit. b)Determine the phase angle of the source voltage relative to the current. c) determine the peak voltage across R and its phase angle relative to the souce voltage. d) determine the peak voltage across L and its phase angle relative to the source voltage. e) determine the peak voltage across C and its phase angle relative to the source voltage.

Explanation / Answer

peak voltage 340 V, f=660 Hz, C=2 F, R=150

L=25 mH or XL=2**f*Lj103.67

XC=1/(2**f*C)-j120.572 , Z=(R2+(XL-XC)2)150.95

a) 340 V/150.95 2.25 A

b) in phase

c) 150 *2.25 A337.86 V, in phase

d) 103.67 *2.25 A233.51 V, tan(103.67/150)-134.65o

e) 120.572 *2.25 A271.58 V, tan(-120.572/150)-1-38.8o

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