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Question

A transformer rated at 10kW is used to connect a 5kV transmission line to a 240V circuit. The ratio of turns in the windings of the transformer is


A

5

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B

20.8

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C

104

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D

40

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Solution

The correct option is B

20.8


Step1: Given data and assumptions.

Input power, Pin=10kW=10000W

Secondary voltage, Vs=240V

Primary voltage, Vp=5kV=5000V

Step1: Find the ratio of turns in the windings of the transformer.

We know that,

The ratio of turns in the windings of the transformer is equal to the ratio of the primary and secondary voltage.

NpNs=VpVs

Where,

Np=The number of turns in the primary side.

Ns=The number of turns in the secondary side.

Now,

NpNs=5000240

NpNs=20.8

Hence, option B is correct.


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