ECE 81_hw10_solutions_1

ECE 81_hw10_solutions_1 - ECE 81 Lehigh University...

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Unformatted text preview: ECE 81 Lehigh University 02/26/2007 HW #10 P5.40: = 10000 Zeq = R + jL + 1/jC = 100 + j[500 - 500] = 100 VS = VR + VL + VC = 10 cos(t) = 10 0 V I = Vs/Zeq = {10 0}/{100 0} = 0.1 0 A VL = I*ZL = 500j*I = 50 90 V VR = I*ZR = 100*I = 10 0 V VC = I*ZC = - 500j*I = 50 - 90 V VL V R = VS I VR peak value (VL(t)) = 50 V peak value (VS(t)) = 10 V Solutions 1/2 HW10 ECE 81 Lehigh University 02/26/2006 P5.42: = 100 Zeq = R + jL = 100 + 50j = 111.8 26.56 V1 = 100 cos(100t 90) = 100 -90 V V2 = 100 cos(100t + 30) = 100 30 V V1 V2 = [ - 100j ] [ 86.6 + 50j ] = 86.6 150j = 173.2 -120 = 173.2 240 V I = (V1 V2)/Zeq = {173.2 240}/{111.8 26.56} = 1.55 213.4 A I = 1.55 -146.4 A VR = I*ZR = 100*I = 155 213.4 VR = 155 -146.4 V VL = I*ZL = 50j*I = 77.5 303.4 V VL = 77.5 -56.6 V V2 I VR V1 VL I lags V1 by 56 I lags VL by 90 Solution 2/2 HW10 ...
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ECE 81_hw10_solutions_1 - ECE 81 Lehigh University...

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