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Question

www.webassign.net/web/Student/Assignment-Responses/last?dep-12659823#Q4 Use the worked example above to help you solve this problem. A series RLC AC circuit has resistance R = 2.10 x 102 , inductance L = 0.500 H, capacitance C = 3.50 F, frequencyf= 60.0 Hz, and maximum voltage max-3.00 x 102 V (a) Find the impedance 53.11 Your response differs from the correct answer by more than 10%. Double check your calculations. (b) Find the maximum current in the circuit 1.18 Your response differs from the correct answer by more than 100%. A (c) Find the phase angle (d) Find the maximum voltages across the elements FR, max EXERCISE HINTS: GETTING STARTED I IM STUCK! Analyze a series RLC AC circuit for which R-230 , L-0.300 H, C-22.5 F,f= 50.0 Hz, and ,max- 325 V (a) Find the impedance (b) Find the maximum current (c) Find the phase angle (d) Find the maximum voltages across the elements 5:04 PM 11/11/2015 Search the web and Windows 0

Explanation / Answer

only 1 question at a time please
a)
R = 2.1*10^2 ohm = 210 ohm
Xc= 1/ (2*pi*f*C) = 1/(2*pi*60*3.5*10^-6) = 757.9 ohm
XL = 2*pi*f*L = 2*pi*60*0.5 = 188.5 ohm
impedance= sqrt (R^2 + (Xc-XL)^2)
                     = sqrt (210^2 + (757.9 - 188.5)^2)
                     =606.9 ohm
b)
maximum current = Vmax/impedance
                                   = 3*10^2/606.9
                                   =0.49 A
c)
angle = atan (XC-XL)/R = atan ((757.9-188.5)/210) = 69.8 degree

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