On Dec 8, 12:43 am, Cecil Moore wrote:
Keith Dysart wrote:
Cecil Moore wrote:
Keith Dysart wrote:
Of course, if you add 180 degrees you have added 180
degrees to whatever existed before. Do you disagree?

So this meets the criteria you originally proposed and
is an example of 90 degree electical length?

Don't be silly. 180 degrees plus any positive angle
is more than 180 degrees.

The context was mobile loaded antennas shorter than
a physical 1/4WL.

Hmmmm. So you are no longer in agreement with your
original question:
"So are we agreed that a 43.4 degree stub terminated
in 0-j567 ohms impedance is electrically 1/4WL, i.e.
90 degrees long?"

This is good. You can now understand why some were
not quick to jump to agreement.

The concept of electrical/physical degrees is an
occasionally useful way to think about delay on
a transmission line that is used in a single frequency
environment. It even helps understand stubs where
the reflection arrives back with some phase shift
from the original. But extending the concept to lumped
circuits or expecting to find 90 degrees when different
impedances are involved has little value. It leads
to worthless questions like "where did the missing
degrees go?"

This is much like ascribing excessive reality to
"reflected power" which leads to worthless questions
like "where did the reflected power go?".

Or asking "where is the missing dollar?'. The flawed
underpinnings lead to worthless questions. Well maybe
not worthless, like the hotel puzzle, they test the
ability of the answerer to detect flawed assumptions.

....Keith