Question Detail
Question
A transformer assumed to be 100% efficient has 2500 turns at the primary and 50 turns at the secondary. What is the value of the primary voltage that is required to produce 4.4V at the secondary?
Correct Answer
Option D is the correct answer.
Detailed Explanation
For an ideal transformer (100% efficient), the ratio of the primary voltage (Vp) to the secondary voltage (Vs) is equal to the ratio of the number of turns in the primary coil (Np) to the number of turns in the secondary coil (Ns).Vp / Vs = Np / NsGiven:Np = 2500 turnsNs = 50 turnsVs = 4.4 VWe need to find Vp:Vp = Vs * (Np / Ns)Vp = 4.4 V * (2500 / 50)Vp = 4.4 V * 50Vp = 220 V
Hint
For an ideal transformer, the ratio of primary to secondary voltage is directly proportional to the ratio of primary to secondary turns.