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V_s/V_p = N_s/N_p

PHY079 · Energy & Renewable · Classes 10–12

Transformer ratio

Objective: To verify the transformer turns-ratio equation using a 12 V AC lab supply.

🧰 Apparatus

  • Demountable transformer: laminated iron core and coils of 50–1000 turns
  • 12 V AC lab supply
  • Two AC voltmeters
  • Connecting leads

📐 Formulas and SI units

V_s / V_p = N_s / N_p
ideal: V_p I_p = V_s I_s

💡 Theory

An alternating current in the primary coil makes a changing magnetic flux in the iron core, which induces an EMF in the secondary coil. The voltages are in the ratio of the turns: V_s/V_p = N_s/N_p. More secondary turns step the voltage up; fewer step it down. An ideal transformer conserves power: V_pI_p = V_sI_s.

🪜 Procedure

  1. Assemble the core with a 200-turn primary and a 50-turn secondary.
  2. Connect the primary to the 12 V AC lab supply.
  3. Measure V_p and V_s.
  4. Change the secondary coil and repeat.
  5. Check V_s/V_p = N_s/N_p.

📋 Observations Simulated values

✅ Result and conclusion

12 V on 200 turns gives 3 V on a 50-turn secondary (step-down).

🔬 In a real lab

Flux leakage and core losses make V_s a few per cent lower than ideal; transformers do not work on DC.

⚠️ Safety

Use only the 12 V AC lab supply, never mains. Step-up coils can give higher voltages: do not touch the terminals while on.

❓ Quick check

1. N_s > N_p makes a…

2. Why do transformers need AC?

3. Why is the core laminated?

🏋️ Practice

EasyV_p = 12 V, N_p = 100, N_s = 400. V_s?

Answer: 48 V

MediumTurns ratio to step 230 V down to 12 V?

Answer: ≈ 19 : 1

ChallengeWhy is power sent at high voltage?

Answer: Lower current, less I²R loss