Ideal Transformer
An ideal step-down transformer has 1000 turns in its primary winding and 200 turns in its secondary winding, and its primary is connected to a 220 volt AC supply. What voltage appears across the secondary terminals?
Select the correct option:
Solution
44 V
As given in NCERT Class 12, Chapter 7 (Alternating Current), an ideal transformer conserves power and relates primary and secondary voltages to turns through VpVs=NpNs, because the same flux links every turn of both windings. Rearranging: Vs=Vp×NpNs=220×1000200=220×0.2=44 V. The option 1100 V inverts the ratio, treating the device as a step-up transformer. The option 22 V uses a turns ratio of one-tenth instead of one-fifth. The option 88 V mistakenly uses a ratio of 0.4. A plausibility check confirms that for a step-down transformer the secondary voltage must be smaller than the primary, and 44 V is indeed below 220 V, matching the turns ratio of 1:5. Since the transformer is ideal, the secondary current correspondingly rises to keep the power product VI unchanged between the two sides.
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About This Question
- Subject
- physics
- Chapter
- electromagnetic induction and alternating currents
- Topic
- ideal transformer
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
44 V
As given in NCERT Class 12, Chapter 7 (Alternating Current), an ideal transformer conserves power and relates primary and secondary voltages to turns through VpVs=NpNs, because the same flux links every turn of both windings. Rearranging: Vs=Vp×NpNs=220×1000200=220×0.2=44 V. The option 1100 V inverts the ratio, treating the device as a step-up transformer. The option 22 V uses a turns ratio of one-tenth instead of one-fifth. The option 88 V mistakenly uses a ratio of 0.4. A plausibility check confirms that for a step-down transformer the secondary voltage must be smaller than the primary, and 44 V is indeed below 220 V, matching the turns ratio of 1:5. Since the transformer is ideal, the secondary current correspondingly rises to keep the power product VI unchanged between the two sides.
This easy difficulty physics question is from the chapter electromagnetic induction and alternating currents, covering the topic of ideal transformer. It appeared in the 2025 exam.
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