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Question

Physics Question on AC Voltage

The primary winding of a transformer has 100 turns and its secondary winding has 200 turns. The primary is connected to an A.C. supply of 120 V and the current flowing in it is 10 A. The voltage and the current in the secondary are

A

240 V, 5 A

B

240 V, 10 A

C

60 V, 20 A

D

120 V, 20 A

Answer

240 V, 5 A

Explanation

Solution

We know that, NsNp=VsVp\frac{ N _{ s }}{ N _{ p }}=\frac{ V _{ s }}{ V _{ p }} 200100=Vs120\Rightarrow \frac{200}{100}=\frac{ V _{ s }}{120} Vs=200×120100=240V\Rightarrow V _{ s }=\frac{200 \times 120}{100}=240 V Also, VsVp=ipis\frac{ V _{ s }}{ V _{ p }}=\frac{ i _{ p }}{ i _{ s }} 240120=10is\Rightarrow \frac{240}{120}=\frac{10}{ i _{ s }} is=10×120240=5Ai _{ s }=\frac{10 \times 120}{240}=5 A Thus Vs=240V,is=5AV _{ s }=240 V , \quad i _{ s }=5 A