Question In the difference amplifier shown in Fig. P5.32, com pute (a) the differential mode gain, (b) the common mode gain, and (c) the CMRR. 5.32 Figure P5.32 100 kΩ 10 v -10 V Vb 95 kΩ

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Transcribed Image Text: In the difference amplifier shown in Fig. P5.32, com pute (a) the differential mode gain, (b) the common mode gain, and (c) the CMRR. 5.32 Figure P5.32 100 kΩ 10 v -10 V Vb 95 kΩ

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\$ .32\begin{array}{l}V_{x}=\frac{V_{b} .95 k}{100 k}=\frac{V_{0} .95}{100} \\\frac{V_{x}-V_{a}}{5 k}+\frac{V_{x}-V_{0}}{100 k}=0 \\100 v_{x}-100 v_{a}+5 v_{x}-5 v_{0}=0 \\105 v_{x}-100 v_{a}=\left(v_{0}\right) 5 \\v_{0}=21 v_{x}-20 v_{a} \\V_{0}=21\left(\frac{V_{b} .95}{100}\right)-20 V_{a} \Rightarrow V_{0}=19.95 V_{b}-20 V_{a}-\theta \\\end{array}(a) Ditferential mode gain A_{d}=-19.975(b) Common mode gain A_{c}=-0.05(c)\begin{array}{l}C M R R=\left|\frac{A_{\alpha}}{A_{c}}\right|=\left|\frac{-19.975}{0.05}\right|=399.5 \\C M R_{\alpha B}=20 \log \left|\frac{A_{\alpha}}{A_{C}}\right|=52.03 \mathrm{~dB}\end{array} ...