Hello to everybody,
regarding the loops inductance, Terman Radio Engineers' Handbook has formulas for
single turn loops of many different shapes and also notes that these formulas have
all the same general form; it references two articles in the Proceedings of the
I.R.E. of 1927 and 1936, that should contain the formulas derivation, maybe I could
be able to find one of them...
It gives also a formula for the inductance of a single turn rectangle: said a and b
the rectangle sides length, d the wire diameter, g the diagonal of the loop (g =
a^2+b^2) (all in meters) the inductance is:
L = 0.4*((a+b)*ln(4.0*a*b/d) - a*ln(a+g) - b*ln(b+g)) + 0.4*(2*g+d-2*(a+b));
Rik first formula agrees well with the one from Terman, at least for side ratios up
to the stated limit of six, where the error is around 10% depending on the wire
diameter. I performed some comparison of that formula with the one from Terman and
with computer simulations, you can find some results on
http://www.qsl.net/in3otd/rlsim.html
I have also put on my site some forms for the inductance calculation of single turn
loops of regular polygonal shape and of rectangular shape, they are at
http://www.qsl.net/in3otd/ind1calc.html and http://www.qsl.net/in3otd/ind2calc.html
I have seen the new Rik formula just this morning, hope to have the time soon to
compare also that with the inductance simulations made...
73 de Claudio, IN3OTD
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