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 voltages is directly proportional to the ratio of the number of turns in the coils:Vp / Vs = Np / NsWhere:Vp = Primary voltageVs = Secondary voltage = 4.4 VNp = Number of turns in the primary coil = 2500Ns = Number of turns in the secondary coil = 50We need to find Vp:Vp = Vs × (Np / Ns)Vp = 4.4 V × (2500 / 50)Vp = 4.4 V × 50Vp = 220 V
Hint
Remember the turns ratio formula for an ideal transformer: Vp/Vs = Np/Ns.