Line Resistance in Transmission Line

Line Resistance in Transmission Line  :-

👉Every electric conductor oppose the flow of current in it ,this is known as resistance.
👉The power loss (I^2R) in the transmission line occurs due to this resistance.
👉The ohmic resistance R of a conductor of length ' l ' and uniform cross sectional area 'a',

                                 R= ρl/a
 Where,

R=Total resistance in Transmission Line,
ρ=Resistivity or specific resistance of conductor material ,
l=Length of the conductor,
a= Area of cross section,

👉The Resistivity or specific resistance of the conductor is depends not only on the conductor material but also it's temperature.
👉For example ,if ρ₁ and ρ₂ are the values of resistivity at different temperatures t₁ and t₂ ,then

ρ₂=ρ₁{1+α(t₂-t₁)}
Where,
a = Temparature coefficient of resistance of the material.

👉The value of the temparature coefficient of resistance is also not constant but depends upon the initial temparature  [0°C].
👉The temparature coefficient of resistance at any temparature t₁ is given by the below expression,

α₁=α0/(1+α0t1).
[Temparature at 0℃ =α0]

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