System Loss In Terms of I why not V?

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SUMMARY

The discussion centers on the calculation of system loss in transmission lines, specifically contrasting the formulas i²R and v²/R. It establishes that while reducing current via transformers decreases losses, voltage reduction is not a viable alternative due to the fixed characteristic impedance of the line. The primary loss mechanism is I²R, particularly at radio frequencies, where energy is lost as signals travel along the line. Losses are quantified using logarithmic ratios in decibels (dB) per unit length, emphasizing the importance of understanding both voltage and current in transmission line performance.

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  • Understanding of transmission line theory
  • Familiarity with the concept of characteristic impedance
  • Knowledge of power loss calculations in electrical systems
  • Basic principles of radio frequency (RF) signal propagation
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Electrical engineers, RF engineers, and students studying transmission line theory and power loss management in electrical systems.

eee_engin33r
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We all know that the system loss in transmission line is i^2R. So, in order to reduce the loss we diminish the current flow through the line by means of transformer.
My question is i can also calculate system loss by the formula v^2/R where v is the potential across transmission line. So, shouldn't we reduce the voltage instead of current in that sense?
 
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in this case it would be the V DROP along the T line... not the applied voltage.
 
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At radio frequencies, as a signal travels along a transmission line energy is lost, mostly by I2R to the resistance of the line. But the ratio of voltage to current on the line is determined by the characteristic impedance of the line. So, stricktly speaking, it is power that is attenuated along a line of fixed characteristic impedance, unless there is reflected energy.

That is why losses are specified using logarithmic ratios, in dB per set length.
 

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