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Karnataka Board PUCPUC Science 2nd PUC Class 12

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
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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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