Question 9.11: Find the output voltage and current through the resistance R...
Find the output voltage and current through the resistance R_{f} in the circuit shown in Fig. 9.38.
The output voltage, V_{o} is calculated as
V_{o}= – \left\lgroup \frac{R_{f}}{R_{1}} V_{1}+\frac{R_{f}}{R_{2}} V_{2}+\frac{R_{f}}{R_{3}} (V_{3}) + \frac{R_{f}}{R_{4}} V_{4}\right\rgroup= – \left[ \frac{5}{5} ×2 +\frac{5}{20} ×3+ \frac{5}{40} ×(-1) +\frac{5}{80} ×5\right]
= – \left[ 2+0.75 – 0.125+0.3125\right]
= – 2.9375 V
Assuming virtual ground concept with v = 0, current through the feedback resistor R_{f} is
R_{f}=\frac{\nu -V_{o}}{R{f}}=\frac{2.9375}{5 × 10 ^{3}}=0.58 mA.
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