# A Transformer Has a Turn Ratio Ns/Np

By BYJU'S Exam Prep

Updated on: September 25th, 2023

A transformer has a turn ratio, NS/NP=4. If a 200 V AC voltage is applied across its primary coil, and it carries 1 A current, find current in the circuit connected to the secondary coil if the transformer is 80% efficient.

1. 0.2 A
2. 0.4 A
3. 0.8 A
4. 2 A

A transformer has a turn ratio, NS/NP=4. If a 200 V AC voltage is applied across its primary coil, and it carries 1 A current, find current in the circuit connected to the secondary coil if the transformer is 80% efficient.

Solution

Given that, a transformer has a turns ratio NS/NP=4

Primary voltage (VP)=200 V

NS/NP=VS/VP=4

Vs=4×200=800 V

Given that, the efficiency of the transformer =VsIsVPIP=80%

0.8=800×Is/200×1

Is=160/800=0.2 A

Hence option A is the correct answer.

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