How to Derive the Voltage Gain Transfer Function?

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suv79
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Homework Statement


Circuit schematic of an op-amp amplifier labelled X1 THS4021: V1 feeds R1 (1K) to the inverting input, R2 (1K) feedback from output V2 to the inverting input, and R3 (100) in series with C1 (22p) from the non-inverting input to ground.

Homework Equations


Printed part (ii) asking to show that the transfer function V2/V1 = (-R2/R1) x 1 / [1 + 1/A(w)(1 + R2/R1 + j wCR2 / (1 + j wCR3))] for the circuit of Figure 2(b).


The Attempt at a Solution


Stacked handwritten-style equations deriving beta as Z1 parallel Z3 over Z1 parallel Z3 plus Z2, substituting Z3 = R3 + 1/(j omega C1) and simplifying step by step.
 
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  • Printed part (ii) asking to show the transfer function V2/V1 = (-R2/R1) x 1 / [1 + 1/A(ω)(1 + R2/R1 + j ωCR2 / (1 + ωCR3))] for the circuit of Figure 2(b).
    upload_2016-2-9_5-22-35.png
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