Question Details

In a ideal transformer, the turns ratio Np/Ns = 1/2, The ratio Vs : Vp is equal to (the symbols carry their usual meaning) :

Options

A

1 : 2

B

2 : 1

C

1 : 1

D

1 : 4

Show Answer

Correct Answer :

Option B

2 : 1

2 : 1

Solution :

For an ideal transformer the voltage ratio between the secondary (Vs) and the primary (Vp) is equal to the turns ratio of the secondary to the primary:

V_{s}/V_{p}=N_{s}/N_{p}

The problem gives the inverse turns ratio:

N_{p}/N_{s}=1/2

To obtain N_{s}/N_{p} we simply take the reciprocal of the given ratio:

N_{s}/N_{p}=2/1=2

Substituting this value into the voltage‑ratio equation gives:

V_{s}/V_{p}=2

Therefore the ratio of secondary voltage to primary voltage is

Vs : Vp = 2 : 1.

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