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A power transmission line feeds input power at 2300 V to a stepdown transformer with its primary windings having 4000 turns. What should be the number of - Physics

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Question

A power transmission line feeds input power at 2300 V to a stepdown transformer with its primary windings having 4000 turns. What should be the number of turns in the secondary in order to get output power at 230 V?

Numerical

Solution

Input voltage, V1 = 2300

Number of turns in the primary coil, n1 = 4000

Output voltage, V2 = 230 V

Number of turns in secondary coil = n2

Voltage is related to the number of turns as:

`"V"_1/"V"_2 = "n"_1/"n"_2`

`2300/230 = 4000/"n"_2`

n2 = `(4000 xx 230)/2300` = 400

Hence, there are 400 turns in the second winding.

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Chapter 7: Alternating Current - Exercise [Page 268]

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NCERT Physics [English] Class 12
Chapter 7 Alternating Current
Exercise | Q 7.23 | Page 268

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