Find and draw the theacutevenin equivalent of the circuit

Question

1. Find the values below. Show your work, which may appear right on the schematic.

a) R₂ = ?
b) R₁ = ?
c) P_S = ?

2. Use the method of superposition to find the voltage across R₂ (V_R2) and the current through R₁ (I_R1).
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 the load current using your Thévenin equivalent circuit.

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

4. Use nodal analysis to find V_R1 and I_R2.

You MUST show all the steps of nodal analysis work to get credit, including drawing appropriate symbols and labels on the circuit shown.