Question

Practical Differentiator Vout Figure 6 Practical Differentiator circuit To mitigate the problem of noise amplification at high frequencies, a differentiator used in practice is given in Figure 6. Differentiation of the input signal is accomplished over a bandwidth of low frequencies. 1. Derive the input-output relation for the circuit of Figure 6. This can be done in the Laplace transform domain.

Answer 1

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Vin- o - o = -Vout 2 ZI or che z2 - Vout - Vin T(S) = -2 21 Z 2 Inverting Amplifier gain (shortent) - Vout Zz = Nin Ritha Vout win Nout - R₂ CS P, CS t This is input-output srelation of practical Dillerentiators Vin
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