Obtain an expression for g v0vs in terms of beta -

Question

Noninvertring Amplifier:

The circuit in given figure uses a potentiometer whose total resistance is R₁. The potentiometer wiper (terminal 2) creates two variable resistors: βR₁ between terminals 1-2 and (1 - β ) R₁ between terminals 2-3. The movable stylus varies β over the range 0 <= β <=1.

1. Obtain an expression for G = V₀/V_s in terms of β.

2. Calculate the amplifier gain for β = 0.0, β = 0.5, and β =1.0 with component values R₁=10 kΩ and R₂ = 1.5 kΩ.

3. Let V_s be a 100-Hz sinusoidal signal with a 1-volt peak value. Plot V₀ and V_s to scale for β = 0.0, β = 0.5, and β =1.0.