Question

1. [15 Points] How many nodes does the circuit have (indicate on the diagram)? How many unknown voltages does this lead too (also show on the diagram)?

2. [20 Points] Define the branch currents and assign current flow directions on the diagram. Write down the minimum number of KCL equations needed to analyze the circuit. Use Ohm’s law to re-write the equations in terms of the voltage variables

3. [15 Points] Solve the equations from part b. for V_out(t) and sketch, assuming G = 10,000 and V_in is a step starting at t = 0 of height V_o (V_ou(t)).

4. [Extra Credit – 10 Points] Add an inductor of value L in series with R_L. Using the results from above determine the new value of V_out (t) across R_L.      
   Show your work and briefly discuss all results on the separate sheets provided. 1. [60 points total] Consider the circuit shown below: RI Ca Where Vin(t), R1, R2, RL, C2, and G, are known [15 Points] How many nodes does the circuit have (indicate on the diagram)? How many unknown voltages does this lead too (also show on the diagram)? a. b. [20 Points] Define the branch currents and assign current flow directions on the diagram. Write down the minimum number of KCL equations needed to analyze the circuit. Use Ohm's law to re-write the equations in terms of the voltage variables [15 Pointsl solve the equations from part b. for Youtlt) and sketch, assuming G -10,000 and Vin is a step starting at t0 of height Vo (Vou(t)). c. d· Extra Credit-10 Points) Add an inductor of value L in series with RL. Using the results from above determine the new value of Vout (t) across RL
   

Answer 1

a) @ws(r) İ.DI, fiom C dh Ri Ra aH Vour- out-

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Cb Two nodes CO- R. vtat'+(Aarts)) SLMHttte@m@ J ca- JCn

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