For the circuit below, perform the following: For the circuit below, perform the
ID: 1813550 • Letter: F
Question
For the circuit below, perform the following:
For the circuit below, perform the following:
For the circuit below, perform the following: Given an AC input voltage of Vrms = 200Vrms and a sinusoidal frequency of omega = 120pi rad/sec, determine the following: V1peak (peak value of AC input voltage) V1(peak-to-Vpeak )(peak to peak value of AC input voltage) Frequency of input voltage V1 in Hz. V2peak (peak value of AC output voltage) V2(peak-to-Vpeak )(peak to peak value of AC output voltage) Frequency of output voltage V2 in Hz. For the circuit below, perform the following: Given a voltage gain of -10, determine the value of R2. Calculate the peak-to-peak value of Vout and rms value of Vout.Explanation / Answer
Vrms = 200
X(L1) = ?L1 = 120? x 0.014 = 5.28
X(L2) = ?L2 = 120? x 0.028 = 10.56
total impedence is given by
Z = j5.28 + (10000xj10.58)/(10000+j5.28) = 0.01 + j15.84
total current is
Irms = Vrms / Z = 200 / (0.01+j15.84) = 0.008-j12.62 A
current passing through X(L2) is given by current division rule:
I2 = Irms x (10000/(10000+j10.56)) = 0.005-j12.61 A
now voltage V2(rms) = I2 x jX(L2) = 133.27-j0.05 V
V2(peak) = ?2 x V2(rms) = 1886.46-j0.07 V
V2(peak to peak) = 2 x V2(peak) = 376.93-j0.15 V
and frequency doesn't change
given ? = 120?
but 2?f = ? = 120?
=> f = 120? / 2? = 60Hz
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