- #1

- 8

- 0

## Homework Statement

For the following circuit, find the values of R

_{L}and C

_{L}that maximize the power extracted from the generator.

https://dl.dropboxusercontent.com/u/15390227/circuit.jpg [Broken]

## Homework Equations

Z = R + jX

X

_{L}= jωL

X

_{C}= 1/jωC

## The Attempt at a Solution

Immediately, the impedance of the source can be easily determined, as the source resistor and inductor are in series:

Z

_{S}= 50 + j47.879 Ω

Normally, if the load's resistor and capacitor were in series, this could easily be solved by setting the load impedance equal to the complex conjugate of the source impedance:

Z

_{L}= 50 - j47.879 Ω

However, I can't do this since the load's resistor and capacitor are in parallel, not in series. I could determine the equivalent impedance of the load with this formula:

Z

_{L}= X

_{C}R

_{L}/ X

_{C}+ R

_{L}

Once I have these two equations for the load impedance, I'm kind of stumped on what to do next. I think I'm on the right track, but I've hit a brick wall. Any help would be greatly appreciated!

Last edited by a moderator: