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question about equation (4-78) balanis's book

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farshidazhir

Electrical
Dec 22, 2005
8
IT
who can prove this equal("Iin=Io*sin(kl/2)") in page of 163 balanis's book ???
thanks
 
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this equal is important for change position of feeder in dipole antenna's problems
 
So? If you're an engineer, why do YOU need to prove it?

If you're a student, youve come to the wrong place for homework help

TTFN



 
Balanis doesn't seem to give any indication where this equation comes from. Equation 4-78 in section 4.5.5 is just stated. Looking earlier (4.5.1) the current distribution in a finite dipole is again just stated as being sinusoidal. The text does state that the sinusoidal character has been experimentally verified however.
 
It's not one of these "it can be shown that" is it?

I well remember one of those that took 3 pages of calculation to get from equation 1.1.45 to equation 1.1.46

Saves the printer a lot of time & paper though.

Otherwise known as "An exercise for the reader". :)
 
thanks,
if dipole antenna is center-fed=>current distribution is
"Ie=Iosin(k(L/2-+z)) where -L/2<z<L/2" ok?
now if for matching ,feeder is not in center of dipole
what is current distribution now? Ie=?
 
You can probably assume that the current drops to zero in roughly the same place (*) that the conductor ends. ;-)


[* with maybe 5% 'end effect']

 
thanks VE1BLL but i know it
do you know any formula for this?
 
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