Question

A transmission line of 200 km is supplying at 50hz frequency. What is the percentage rise in voltage at reciving end?



a.20%



b.1.2%



c.2.19%



d.20.8%

Answer 1

Answer:

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answer is a...20%

Answer 2

The percentage rise in voltage at the receiving end is 2.19%

Based on the Ferranti effect,

The rise in voltage  = (ω²l²$V_{R}$ x $10^{-10}$)/18,

where 'ω' is the angular frequency,

            'l' is the length of the transmission line,

            ' $V_{R}$' is the receiving end voltage.

Percentage rise in voltage = [(ω²l²$V_{R}$ x $10^{-10}$)/(18 x $V_{R}$)] x 100%

                                             = (ω²l² x $10^{-8}$)/18 , here (ω = 2πf)

                                             = [(2π x 50)² x (200)² x $10^{-8}$]/18 = 2.19%

Therefore the percentage rise in voltage is 2.19%