I have here "RF Circuit Design" by Chris Bowick.

In chapter 3, Impedance Matching, one of his solutions os pretty sketchy...

I understand everything except the jump from 2 to 3...it seems to be missing some steps because I don't believe you can convert directly to polar notation from a product over sum.

How does he jump from step 2 to 3?

Xc = Capacitive Reactance
Rl = Load Resistance

1.
     XcRl
Z = -------
    Xc + Rl

2.
    -j333(1000)
  = ------------
    -j333 + 1000

3.
  = 315 at -71.58 degrees

4.
  = 100 - j3000 Ohms


Thanks for any help...

Brandon Irwin

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