Assuming an ideal op amp find an expression for output volta

Assuming an ideal op amp, find an expression for output voltage v_0 in terms of i_y.

Solution

let current flowing in 5kohm resistor is I

let say voltage at negative terminal is v i.e at node A which is connected to 5k ohm

as we know that potential at neagtive and positive terminal is nearly equal

hence v_- =v₊

apply kcl at node A

i_x = I

LET potential at positive terminal node B IS v₁

apply kcl at B

(V₁ -0) /6000 = 0.001

V₁ =6 Volt =V

V(+)=V(-) =6v

hence current I fllowing through 5k ohm resistor is

I=i_x=(V-V₀)/5000 =(6-V_O)/5000

6-5000i_x =V₀

answer