i need all of these answered if possible, if you can answer them all that will b
ID: 2079067 • Letter: I
Question
i need all of these answered if possible, if you can answer them all that will be great. this is for a power systems design class
1. Using the circuit shown in Figure 1 with R 0.15uF 10000, R 00n, L 2 mH, and C1 a. (15 pts) At f 750 Hz, determine Zin for the circuit b. (15 pts) Determine f such that Zin is purely resistive c. (15 pts At 1100 rad/s, determine the value of Cu to make Zin purely resistive. Figure 1 2. Solve the AC circuit shown in Figure 2 in sinusoidal steady state L1 0 mH R1 52 Ohm VA 10V R2 C1 60 Ohm Freq 600Hz 470 uF Figure 2 a. (15 pts) Convert the time domain circuit into a phasor domain circuit. Draw the circuit and express the impedance of every element in both rectangular and polar form. b. (15 pts) Determine Vab and Zab. Express Vab in both phasor and time domain.Explanation / Answer
1
a) XL1=j2PifL1
=j2pi*750*2*10^-3
= j9.424 Ohm
Xc1 = 1/(j2pifC1)
=1/(j2pi*750*0.15*10^-6)
=-j 1414.7 Ohm
now Zin= R1+(Xc1||[R2+jXL1])
= 1000+(-j1414.7||[100+j9.424])
= (1100.83+j2.312) Ohm
4
A) complex power S=V2/Z
S = (277 <30)2/500 <-27
S= ( 8.031+j153.247)Var
B) complex power S= I2Z
S=( -18000+j13500) Var
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