mathmatica

1. Consider the following Op Amp inverting amplifier. We want to solve for the gain vo assuming that vo the Op Amp operates in linear region, i.e. A(vd) = A·vd. 1. Find the algebraic expression for vd and vo/vi by solving the inverting amplifier circuit using nodal analysis 2. Use Ri =1kΩ and R2 = 2kΩ and Op Amp parameters of Ri = 106Ω, Ro= 50Ω and A = 106 calculate the numerical values for vd and the gain. 3. Repeat part (1) using loop analysis 4. A student connected the Op Amp with positive feedback as shown below. Find the numerical values for vd and the gain using nodal analysis. Although your answer for vd is a valid one mathematically speaking, does it make physical sense to you?