Given the electronic circuit below: R3 R1 Vout Vin R4 L R2 a) Derive the transfer function between the output voltage and the input voltage (in terms of parameters R1,R2,R3,R4, C and L ) b) Let C=50 mF, L =1 H, R1=400 Q, R2 = 4N, R3 = 1KQ, R4=100 K2. Compute the response of the circuit Vout (t) to the unit-step input signal Vin (t) = us(t) (assuming as usual that the initial conditions are zero) (Hints: m: 10-3, K: 103 , 1/0.05 = 20) c) Assuming Vin (t) = u,(t) unit-step input voltage, what is the initial value of the output voltage i.e. Vout (0*) (assuming as usual that the initial conditions are zero) ?
Given the electronic circuit below: R3 R1 Vout Vin R4 L R2 a) Derive the transfer function between the output voltage and the input voltage (in terms of parameters R1,R2,R3,R4, C and L ) b) Let C=50 mF, L =1 H, R1=400 Q, R2 = 4N, R3 = 1KQ, R4=100 K2. Compute the response of the circuit Vout (t) to the unit-step input signal Vin (t) = us(t) (assuming as usual that the initial conditions are zero) (Hints: m: 10-3, K: 103 , 1/0.05 = 20) c) Assuming Vin (t) = u,(t) unit-step input voltage, what is the initial value of the output voltage i.e. Vout (0*) (assuming as usual that the initial conditions are zero) ?
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Transcribed Image Text:Given the electronic circuit below:
R3
R1
Vout
Vin
R4
L
R2
a) Derive the transfer function between the output voltage and the input voltage
(in terms of parameters R1,R2,R3,R4, C and L )
b) Let C=50 mF, L =1 H, R1=400 N, R2 = 42, R3 = 1KN, R4=100 K2. Compute the
response of the circuit Vout (t) to the unit-step input signal Vin (t) = us(t) (assuming as
usual that the initial conditions are zero)
(Hints: m: 10-3, K: 103 , 1/0.05 = 20)
c) Assuming Vin(t) :
voltage i.e. Vout(0+) (assuming as usual that the initial conditions are zero) ?
us (t) unit-step input voltage, what is the initial value of the output
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