Using Thevenin’s theorem determine the value of RL for maximum power transfer?

[rawlingson]

Hey people. This circuit analysis is giving me a major headache. Circuit can be seen below:

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I know how to analyze a circuit using Thevein's theorem, but as there are 2 voltage sources, should I solve using Superposition theorem first and then pass the resultant values into a Thevein equivalent circuit?

Or is there a more simple, easy way to do this that Im missing.

Many thanks

 

[godfreyl]

Or is there a more simple, easy way

Yes, you can ignore V1 and R1. They have no effect.

V2 puts 6V across R2 and RL. V1 and R1 can't change that.

 

[Rohitchampion]

Yes. godfreyl is right. Maximum power would be transferred from RL when it is equal to R(Th) of circuit. And when you calculate R(Th), you short all independant DC voltage sources. If you analyze and solve circuit in that way, R1 and V1 have no effect on simplified circuit. Hence RL = R2 = 4 ohm.