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# AC Network?

Find the load impedance 𝑍𝐿 for maximum power to the load and determine that maximum power.

### 2 Answers

- oldschoolLv 72 months ago
The impedance Zo seen from ZL's terminals:

(10+j10)||(-j10) - j10 = (10+j10)(-j10)/(10+j10 -j10) - j10 =

= (10+j10)(-j10)/10 - j10 = 10 - j20 = Zo

By the Maximum Power Transfer Theorem, ZL = Zo*

ZL = 10 + j20

Current leaving source = 50√2/(10+j10+10-j10) = 5√2/2 A

The reactance of the load cancels that of the output impedance.

i²*R = 25*2/4 *10 = 125W <-----

- derframLv 72 months ago
A voltage source has an impedance of zero ohms, so replace it with a short. XL is in series with R: convert that to a parallel network. Now add XC1 to that parallel network and convert to a series network. Add the XC2 to that network. You now have a simple series RC driving the load. The load will be the complex conjugate of the source.