+ Post New Thread
Results 1 to 8 of 8

20th June 2006, 03:29 #1
What is electrical length used for?
in terms of transmission lines, is the electrical length always calculed with frequency in units of (MHz) ?
What is electrical length used ?

20th June 2006, 03:29

20th June 2006, 04:48 #2
 Join Date
 Jan 2004
 Posts
 8
 Helped
 1 / 1
 Points
 1,686
 Level
 9
electrical length calculator
Electrical length is expressed in terms of wavelength λ. Usually the unit is λ, like 1λ, 3.4λ etc. Note that electrical length is therefore defined for a given frequency.
When transmission line is considered, usually guided wavelength λ is considered (not a free space wavelength).
Regards,
jerzyg
1 members found this post helpful.

20th June 2006, 14:05 #3
 Join Date
 Dec 2004
 Location
 New England, USA
 Posts
 4,534
 Helped
 1270 / 1270
 Points
 32,385
 Level
 43
electrical length degrees
In an simulation program, an ideal electrical length is given as a number of degrees of phase and the frequency that the phase is measured at. Such as "45 degrees at 2 GHz". That assumes that the dielectric constant is 1.0 and that the electrical length varies linearly with frequency.
However, since air dielectrics are seldom encountered in a circuit design, a lot of programs allow you to define electrical length as a physical length and a dielectric constant. Such as "0.1 meter and an effective dielectric constant of Er=4.5". That, once again, assumes that the electrical length varies linearly with frequency.
That is about it. In one of the most common media, microstrip, the electrical length does NOT vary lineary with frequency (called dispersion). So when you enter a length of a microstrip line, and the substrate dielectric constant, the program computes an effective dielectric constant, and thus an electrical length, that is a function of Physical length, substrate dielectric constant, and frequency.
3 members found this post helpful.

20th June 2006, 14:05

20th June 2006, 16:15 #4
 Join Date
 Feb 2006
 Posts
 50
 Helped
 6 / 6
 Points
 1,867
 Level
 10
electrical length equation
Hi, i will explain in mathematics.
Electrical length = BL
Where L = physical length (m), and
B= 2*pi/λ
= 2*pi*f / v
= ω √ue
where pi=3.142, λ=wavelength(m), f=frequency (Hz), v=velocity guided (m/s)
and
1/(√ue) = v
1/(√uoe)=c (speed of light free space)
c/(√urer)=v
and
uo*ur= u and eo*er=e
e=Permitivity
u=Permeability
er=relative permitivity
ur=relative permeability
eo=Permitivity in freespace (constant)
uo=Permeability in freespace (constant)
I hope i don't confuse you. But do correct me if you found any error in my explaination. Thanks.
Added after 1 hours 39 minutes:
Originally Posted by J0hn
1/(√uoeo)=c (speed of light free space)
very sorry for the mistake
3 members found this post helpful.

21st June 2006, 00:51 #5
 Join Date
 Mar 2006
 Posts
 15
 Helped
 1 / 1
 Points
 1,277
 Level
 8
electrical length in degrees
Electrical length are in unit length.
It can be in meter, mm, inches, or mils.
Skip all the calculation of c, λ, µ, ρ... we have a simple formula:
in air, εr=1,
Electrical Length= 2.95"/ (F (GHz) or 2.95"/(1000 X F (MHz))
=74.93mm/ F (GHz) or 74.93mm"/(1000 X F (MHz))
Added after 2 hours 24 minutes:
Correction:
The above calculation is for a quaterwave length (λ/4). Full wave length (λ) is 4 times of that numbers.
Krytar
1 members found this post helpful.

21st June 2006, 08:44 #6
 Join Date
 Apr 2005
 Location
 PALISTINE
 Posts
 180
 Helped
 34 / 34
 Points
 2,082
 Level
 10
electrical line length
hi
i agree with the above and wish to add that the environment that the condouctor ii in affects its EL
regards
1 members found this post helpful.

21st June 2006, 08:44

21st June 2006, 23:47 #7
electrical length calculation
if the electrical length of a cable is its length measured in wavelengths (λ) and is related to the frequency of the wave and the velocity with which it propagates along the transmission line, what do you think of the following formula :
Electrical length = length of the line / λ
Electrical length = (length of the line)(frequency)/velocity propagation
looks like Jerzyg definition, looks ok ?

22nd June 2006, 13:40 #8
 Join Date
 Feb 2006
 Posts
 50
 Helped
 6 / 6
 Points
 1,867
 Level
 10
microstrip electrical length
Hi,
Usually when people refer electrical length, it can expressed either in degree or in wavelength..
For example,
f * λ = v
one wavelength =λ = 2*pi = 360°
becos B*L= (2*pi/λ)*λ=360°
quarter wavelength = λ/4 is also = 90°
becos B*L = (2*pi/λ)*λ/4 = pi/2 =90°
half wavelength = λ/2 is also = 180°
becos B*L = (2*pi/λ)*λ/2 = pi =180°
and so on... [/i]
1 members found this post helpful.
+ Post New Thread
Please login