Question on: JAMB Physics - 2023
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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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