Hi,

I'm just wondering if someone could help me figure out which steps were taken to determine the attached equation?

Any help would be greatly appreciated!

 

Hi,

I'm just wondering if someone could help me figure out which steps were taken to determine the attached equation?

Any help would be greatly appreciated!

Take your starting equation and multiply both sides by the denominator on the right hand side.

Then multiply the Zo through on the right hand side and multiply the Zin through on the left hand side.

Then swap the imaginary components on each side, by subtracting on each side. This will give the -j terms.

Then reverse the process by factoring out the Zo and ZL and dividing by the bracketed part to get the equation for ZL.

 

Thanks steveb!

Greatly appreciated!