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Question

Physics Question on Transformers

In an ideal transformer, the turns ratio is Np/NsN_p/N_s =1/2 .The ratio VS:VPV_S:V_P is equal to (the symbols carry their usual meaning):

A

1:2

B

1:1

C

2:1

D

1:4

Answer

1:1

Explanation

Solution

In an ideal transformer, the voltage ratio is directly proportional to the turns ratio:

VsVp=NsNp\frac{V_s}{V_p} = \frac{N_s}{N_p}

Given NpNs=12\frac{N_p}{N_s} = \frac{1}{2}, it follows that VsVp=2\frac{V_s}{V_p} = 2. Hence, Vs:Vp=2:1V_s : V_p = 2 : 1.