What must vs be - what is the value of r1 - how much power

Question

Always show all the intermediate values that you can calculate.  If further calculations depend on a value that you can't figure out, just use a letter (like I_R1) or a guessed value and proceed.

1. In the circuit shown we measure the voltage across R₄ as 2.0 V.The power dissipated by R₁ is 6mW.

a) What must V_S be?

b) What is the value of R₁?

c) How much power does R₄ dissipate?

Note: feel free to show answers & work right on the schematic

2. a) Use the method of superposition to find V_R1 and I_R2. 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 power dissipated by the load

4. Use nodal analysis to

a) find the voltage across R₂ (V_R2).

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(I₃).

5. Find C_eq between terminals a and b.