- #1

Beautucker

**[SOLVED] impedence matching**

I am having some trouble deriving a proof that the max power deliveredto the load is arrived at when load resistance = output resistance. Can anyone help?

- Thread starter Beautucker
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- #1

Beautucker

I am having some trouble deriving a proof that the max power deliveredto the load is arrived at when load resistance = output resistance. Can anyone help?

- #2

- 515

- 1

the source has a voltage of Us, and an internal resistance of Rs. The load has a resistance of Rl.

the voltage on the load is Ul = Us(Rl/(Rs+Rl))

the power delivered to the load is P = Ul

if you want to know the maximum power delivered to the load you have to do dP/dRl = 0 and that yields (if I did it correctly)

dp/dRl = (Us

so for this to be 0 means that Rs = Rl

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