Find the Thevenin equivalent voltage and resistance for the circuit of figure 4

Question

Find the Thevenin equivalent voltage and resistance for the circuit of figure 4 for terminals c-0, the RL. Sketch the eqivalent circuit. Then determine the power delivered to the load resistor in the circuit of figure 4 . In case the values are not easy to read:

Vs = 4.5 Vdc

R1 = 2K

R2 = 6K

R3 = 4K

R4 = 6K

RL = 8K

Find the Thevenin equivalent voltage and resistance for the circuit of figure 4 for terminals c-0, the RL. Sketch the eqivalent circuit. Then determine the power delivered to the load resistor in the circuit of figure 4 . In case the values are not easy to read: Vs = 4.5 Vdc R1 = 2K R2 = 6K R3 = 4K R4 = 6K RL = 8K

Explanation / Answer

Whenever you want to convert something to a thevenin equivalent - the process is as follows:

1. Start from the power supply. Divide the power supply 4.5 V by the 2k resistor, giving you a value of 0.00225Amps.

2. Now that you've done that, you've created a current power supply that is facing up. That means that the 2k resistor that is in series w/ the power supply is NOW in parallel with everything else.

3. Now all you have to do is do the equivalent resistance looking past the power supply.
It is as follows: [ 1/(2k) + 1/(14k) + 1/(10k) ]^-1 = 1489 ohms. You're not done just yet. Now you have to turn the power supply into a VOLTAGE supply - that is multiplying the equivalent resitance by the current supply (0.00225 amps). We get 1489 ohm x 0.00225 A = 3.35 volts. Remembering the law V = I R.

So you should have a circuit that has a Voltage supply of 3.35 volts and a single 1489ohm resitor connected to it in SERIES. That is your thevenin equivalent.

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