A step-down transformer connected to a 240 V AC primary line has 1200 primary turns and 60 secondary turns. Assuming 100% operational efficiency, what is the output voltage delivered by the secondary coil?
Answer and explanation
Correct answer: C. 12 V
- Step 1: Recall the transformer equation relating voltage and turn ratio: V_s / V_p = N_s / N_p.
- Step 2: Substitute given values: V_s / 240 = 60 / 1200.
- Step 3: Simplify the turn ratio: 60 / 1200 = 1 / 20.
- Step 4: Solve for V_s: V_s = 240 * (1 / 20) = 12 V.
Answer
12 V.
Why not the others: '24 V' uses a turn ratio of 1/10; '48 V' uses a turn ratio of 1/5; '6 V' halves the true secondary output.
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