Find and draw the theacutevenin equivalent of the circuit

Question

Solve the given circuit practice problems:

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

a) R₁= ?
b) R₃= ?
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 current 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. 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(I₃).

5. The circuit below has been connected as shown for a long time

a) Find the voltage across each capacitor.

b) How much energy is stored in capacitor C₂ .