In the circuit configuration of figure given below the output voltage (Vo1 - Vo2) is: 

F1 Vinanti Engineering 09.02.23 D25

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  1. 2 (V1 - V2)
  2. 3 (V1 - V2)
  3. 5 (V1 - V2)
  4. 7 (V1 - V2)

Answer (Detailed Solution Below)

Option 3 : 5 (V1 - V2)
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Detailed Solution

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Concept:

Op-amp:

  • It has high input impedance,low output imepedence.
  • By using negative feedback, virtual ground theory is applicable that is  V = V+.   

 

Calculation:

By virtual ground, opamp will have voltage Vand V at negative terminal.

and opamp has zero input current(it has high input impedence).

F1 Vinanti Engineering 09.02.23 D26

current I in 10k register is :

I=\(\frac{V_1 - V_2} {10k}\)

now we can write the equation:

-V01 + 20k × I + 10k × I + 20k × I + V02 = 0

V01  - V02 = 50k × I 

V01  - V02 = 50k ×  \(\frac{V_1 - V_2} {10k}\) ( by putting I value)

V01  - V02 = 5(V1 - V2)

so correct option is 3.

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