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Question

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1.)

a.) For the circuit below, find the voltage gain (AV = ????/??????) in magnitude and phase. Consider both the case for an ideal opamp, as well as the non-ideal case with parameters: Rin = 1 M?, AVoc = 104, RO = 100 ?.

R1 = 10K, R2 = 100K, RL = 1K, C = 0.1?F, ? = 104 radians/s. Assume the supply rails are +/- 10V.

b.) What is the range of Vin that will prevent the output from clipping?

c.) Can you use the ideal op-amp model to estimate this range?

Explanation / Answer

a) assuming ideal one : inverting node voltage=non inverting end voltage taking node eq at inverting end (0-Vin)SC=(Vin-Vo)/R2 Vo/Vin = (1+SCR2) magnitude = sqrt(1+(w*C*R2)^2) =1.442 phase=tan-1((W*C*R2)/1)=46.12 deg assuming non ideal : let inverting end voltage=x so, A(Vin -x)= Vo (where A =AVoc) (0-x)SCR2 = (x-V0) (using node equation) solving both eq give Vo/vin = A(1 + SCR2)/(1 + A +SCR2) magnitude = 1.428 phase =45.55 deg b) Vin min = -10/1.428=-7.002 V Vin max = 10/1.428 = 7.002 V c) No, there is a slew rate of op-amp which decides max rate of change of output voltage, so for ideal op-amp slew rate is considered to be infinity.

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