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## Homework Statement

Find the Thevenin equivalent circuit for the circuit shown. You will need to find V

_{OC}and then use the test source method to find the Thevenin resistance. Using the Thevenin equivalent circuit,determine the load resistor that results in maximum power transferred to that load resistor and the amount of that power.

## Homework Equations

## The Attempt at a Solution

(Fig.1)[/B]I'm a little stuck on this problem. I first used mesh analysis to find V

_{OC}, which came out correct: V

_{OC}=2.5V.

But I tried to do it with node voltage analysis as well to see if it would work also and it came out a little messed up:

(VA-5)/7 +VA/10=0

VA=2.94V

Is there a reason why node voltage doesn't work in this situation or am I just doing it wrong?

**(Fig.2)**I tried letting I

_{Test}=1A and used mesh analysis:

i2=I

_{Test}=1

0.2(V2)-(5ohm)(i1)+5v-(7ohm)(i1)-(10ohm)(i1-i2)=0

Substituted and did some algebra:

i1=0.705

I am super confused at this point :(

Is there an advantage to using a test voltage source vs using a test current source?

Should I have let V

_{Test}=2.5V instead?