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Question

Physics Question on Electromagnetic induction

The primary winding of a transformer has 500 turns whereas its secondary has 5000 turns. The primary is connected to an A.C. supply 20 V, 50 Hz. The secondary will have an output of

A

2 V, 50 Hz

B

2 V, 5 Hz

C

200 V, 50 Hz

D

200 V, 500 Hz.

Answer

200 V, 50 Hz

Explanation

Solution

Turns on primary winding = 500; Turns on
secondary winding = 5000; Primary winding
voltage (Ep)(E_p) = 20 V and frequency = 50 Hz.
NsNp=EsEpor5000500=Es20\frac{N_s}{N_p}=\frac{E_s}{E_p} \, or \, \frac{5000}{500}=\frac{E_s}{20}
or Es=5000×20500=200VE_s=\frac{5000\times20}{500}=200 \, V and frequency remains
the same. Therefore secondary winding will have
an output of 200 V, 50 Hz.
So, the correct answer is (C): 200 V, 50 Hz.