In this problem you will derive the transfer function for a simple inverting amp

Question

In this problem you will derive the transfer function for a simple inverting amplifier depicted below. In class we derived the working equations to analyze the inverting amplifier. Write the corresponding equations based on each of the principles below: Conservation of current (node law) at the inverting input of the amplifier Simplification of i, based on the fact that iin =0. Constitutive relationships for Zs and Zf vout in terms of v, and the open loop gain Av0, Combine Eqs. ii, iii and iv to derive an expression for vout in terms of vs and the open-loop gain Find the algebraic expression for vout/v+ - this is the transfer function of the inverting amplifier.

Explanation / Answer

i) is = i in-if ii)since i in =0 => is = -if iii) is= Vs/Zs and (0-Vo)/Zf = is => -Vo/Zf = Vs/Zs => Vo/Vs = -Zf/Zs so gain = -Zf/Zs

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