Calculate the output of the op-amp circuit shown in Fig.P. 18.4. Answer ( 0)




Given:

Let

Resistance 1 = R1 = 10 kΩ = 10ｘ10³ Ω

Resistance 2 = R2 = 4 kΩ = 4ｘ10³ Ω

Resistance 4 = R4 = 20 kΩ = 20ｘ10³ Ω

Voltage across R1 = V1 = 5 V

Voltage across R2 = V2 = -2 V


To Find:

Output Voltage across R3 = V0 =  ?



Solution:


We will solve the question by using Kirchhoff's current rule.

From the figure 

I3 =  I1  + I2   -----------(1)

So we have to find first all the three currents (I1, I3  and I3 passing through the given three resistances (R1, R2 and R3  respectively. So,

(1) Current I1 through resistance R1:

Using Ohm's law

 I1  = V1R1

By putting values 

 I1  = 5V10ｘ10³Ω

 I1  = 0.5ｘ10⁻³ A 


(2) Current I2 through resistance R2:

Using Ohm's law

 I2  = V2R2

By putting values 

 I2  = -2V4ｘ10³Ω

 I2  = - 0.5ｘ10⁻³ A 


(3) Current I3 through resistance R3:

Using Ohm's law

 I3  = V0R3

By putting values 

 I3  = V020ｘ10³Ω

 I3  =  0.5ｘ10⁻³ V0 A 

Now putting values in equation (1)


0.5ｘ10⁻³ V0 A  = 0.5ｘ10⁻³ A + (- 0.5ｘ10⁻³ A )

0.5ｘ10⁻³ V0 A  = 0 A

Or

V0 = 0 V -------------------Ans.


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