How to Determine Thevenin Equivalent and Max Power Transfer Load Resistance?

[airkapp]

I'm trying to determine the Thevenin equivalent circuit for the attached circuit. Also, the value of the load resistance R load for maximum power transfer. I'm not to sure how exactly the Thevenin theorem operates but I simply added my resistor in series and parallel (where appropriate). I suppose that gave me "R equivalence" which equaled 15 ohms. Not sure if that is correct after shorting out the voltages and open the currents (zeroing out). Can someone help figure the "load resistance for max. power transfer?" I'm attaching the diagram here.

thanks,
air

 

[Sunshine]

Not sure if that is correct after shorting out the voltages and open the currents (zeroing out).

I'm quiet sure it's the other way around, shorting out the current and setting voltage to 0... that means no current passes through the 15 ohm-resistor.

 

[thepatientmental]

The Thevenin theorem is a useful tool for simplifying complex circuits and determining the equivalent circuit. To determine the Thevenin equivalent circuit, you need to short out all voltage sources and open all current sources. This will leave you with a simplified circuit consisting of only resistors. The equivalent resistance, or R equivalence, is then calculated by adding resistors in series and parallel as you have done.

To find the load resistance for maximum power transfer, you can use the formula R load = R equivalence. This means that in your circuit, the load resistance should also be 15 ohms for maximum power transfer. This is because when the load resistance is equal to the equivalent resistance, the maximum amount of power is transferred from the source to the load.

I would also recommend checking your calculations and circuit diagram to ensure everything is correct. You can also use simulation software to verify your results. I hope this helps and good luck with your circuit analysis!