Find and draw the theacutevenin equivalent of the circuit

Question

1. Find the values below. Show your work. Feel free to show answers & work right on the schematic.

a) R₃= ?
b) R₄= ?
c) V_S= ?
d) P_S= ?

2. Use the method of superposition to find the current through R₁ (IR₁) and the voltage across R₃ (VR₃). Be sure to clearly show and circle your intermediate results.

3. a) Find and draw the Thévenin equivalent of the circuit shown. The load resistor is R_L.

b) Find and draw the Norton equivalent of the same circuit.

c) Find the load voltage using your Thévenin equivalent circuit.

d) Choose a different value of R_L so as to maximize the power dissipated in R_L. Find that maximum power, P_L.

4. a) Use nodal analysis to find the voltage across R₂(VR₂). You MUST show all the steps of nodal analysis work to get credit, including drawing appropriate symbols and labels on the circuit shown.

b) Find the current through R₃(IR₃).