Calculate the output voltage if R1 = R2 = R3 = 50 Ω, Rf = 1 kΩ, and V1 = V2 = V3 = 50 mV.

F21 Shubham 13-1-2021 Swati D6

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LPSC ISRO Technical Assistant Electronics 07 Aug 2016 Official Paper
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  1. -3.0 V
  2. 3.0 V
  3. 1.0 V
  4. -1.0

Answer (Detailed Solution Below)

Option 1 : -3.0 V
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Detailed Solution

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Given: R1 = R2 = R3 = 50 Ω, Rf = 1 kΩ, and V1 = V2 = V3 = 50 mV

F1 Shubham B 27.3.21 Pallavi D6

Due to virtual ground concept:

VA = V= 0  ----(1)

Apply Nodal analysis at Node 'A'

\(\frac{V_A-V_1}{R_1}+\frac{V_A-V_2}{R_2}+\frac{V_A-V_3}{R_3}+\frac{V_A-V_O}{R_f}=0\)

\(\frac{V_A-50\ mV}{50}+\frac{V_A-50\ mV}{50}+\frac{V_A-50\ mV}{50}+\frac{V_A-V_O}{1000}=0\)

\(\frac{3V_A}{50} +\frac{V_A}{1000}-3\ mV=\frac{V_O}{1000}\)

From equation 1);

\(-3\ mV=\frac{V_O}{1000}\)

V0 = -3.0 V

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