Question

The op-amp circuit shown in Eigure P6.57 is used as a low-pass filter. Assume: $$ \begin{array}{ll} C=0.8 \mu \mathrm{~F} & R_2=1 \mathrm{k} \Omega \\ R_1=5 \mathrm{k} \Omega & R_2=15 \mathrm{k} \Omega \end{array} $$ Determine: a. An expression in standard form for the voltage gain $\mathbf{V}_d / \mathbf{V}_s$. b. The gain, in dB, in the passband and at the cutoff frequency.

   The op-amp circuit shown in Eigure P6.57 is used as a low-pass filter. Assume:
$$
\begin{array}{ll}
C=0.8 \mu \mathrm{~F} & R_2=1 \mathrm{k} \Omega \\
R_1=5 \mathrm{k} \Omega & R_2=15 \mathrm{k} \Omega
\end{array}
$$
Determine:
a. An expression in standard form for the voltage gain $\mathbf{V}_d / \mathbf{V}_s$.
b. The gain, in dB, in the passband and at the cutoff frequency.

Principles and Applications of Electrical Engineering

Giorgio Rizzoni,… 7th Edition

Chapter 6, Problem 57

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The op-amp circuit shown in Eigure P6.57 is used as a low-pass filter. Assume: $$ \begin{array}{ll} C=0.8 \mu \mathrm{~F} & R_2=1 \mathrm{k} \Omega \\ R_1=5 \mathrm{k} \Omega & R_2=15 \mathrm{k} \Omega \end{array} $$ Determine: a. An expression in standard form for the voltage gain $\mathbf{V}_d / \mathbf{V}_s$. b. The gain, in dB, in the passband and at the cutoff frequency.

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