For the circuit shown below gain is Aν = ν0/νi =

Given

V₀	= – 10
V_i

KCL at node A

V_A – V_i	+	V_A – V_B	= 0 ...........(1)
100		R

KCL at node B

V_B – V_A	+	V_B	+	V_B – V₀	= 0 ...........(2)
R		100		100

on manipulating
V_A = 0. (due to virtual ground)
V₀ = – 10 V_i
in equation (1) and (2) we get

	0 – V_i	+	0 – V_B	= 0
	100		R

or V_i = – V_B.	100	.............(3)
	R

V_B – 0	+	V_B	+	V_B	=	V₀
R		100		100		100

or V_B		1	+	1	+	1		=	–10V_i
		R		100		100			100

or V_B

–16

–V_B

100

or	1	+	2	=	10
	R		100		R

or	10	–	1	=	2
	R		R		100

or	10R – R	=	2
	R²		100

or	9	=	2
	R		100

or R = 450 kΩ