Cecil, W5DXP wrote:
"Any power engineering handbook will tell you what happens to the phase
when the power factor is corrected."

Most industrial loads have a lagging power factor. They represent an
inductive reactance in addition to their resistive loads. Extra energy
must be generated and transmitted just to charge this inductance which
does no work but demands current. Extra loss comes from this reactive
load. This is eliminated by tuning the inductance out with a capacitive
reactance at the load. This is often an overexcited synchronous motor.
When the motor has no mechanical load it is often called a "synchronous
capacitor".

An antenna needs zero reactance too if it is to accept maximum energy
and not make standing waves. Reactance impedes energy to the antenna.
Reactive current also increases loss in the transmission line as it does
in the case of the power utility frequency. So j0 is a goal in many
instances.

Best regards, Richard Harrison, KB5WZI