Question on: JAMB Physics - 2023

 

A step-down transformer is used on a 2.2 kV line to deliver 110 V. How many turns are on the primary windings if the secondary has 25 turns?

A

20

B

250

C

200

D

500

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Correct Option: D

The relationship between the number of turns in the primary (Np) and secondary (Ns) windings of a transformer, and the primary (Vp) and secondary (Vs) voltages, is given by:

Vp / Vs = Np / Ns

We are given: Vp = 2.2 kV = 2200 V Vs = 110 V Ns = 25 turns

We need to find Np.

Rearranging the formula to solve for Np: Np = (Vp / Vs) * Ns

Substituting the given values: Np = (2200 V / 110 V) * 25 Np = 20 * 25 Np = 500 turns

Therefore, the primary winding has 500 turns.

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