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P = VI

PHY044 · Electricity & Circuits · Classes 10–12

Electrical power

Objective: To measure the electrical power of a bulb or resistor and see how it depends on voltage.

🧰 Apparatus

  • Low-voltage bulb (12 V)
  • Supply (0–24 V DC)
  • Ammeter
  • Voltmeter
  • Wires

📐 Formulas and SI units

P = VI = I²R = V²/R (W)
Energy = Pt (J); 1 kWh = 3.6 MJ

💡 Theory

Electrical power is the rate at which energy is transferred: P = VI. Using Ohm's law it is also I²R and V²/R, so doubling the voltage on the same resistance gives four times the power.

🪜 Procedure

  1. Connect the bulb with the ammeter in series and the voltmeter across it.
  2. Increase the voltage in steps.
  3. Record V and I and calculate P.
  4. Note the brightness each time.
  5. Plot P against V².

📋 Observations Simulated values

✅ Result and conclusion

12 V across 6 Ω gives 2 A and 24 W; doubling V quadruples P.

🔬 In a real lab

A bulb's filament resistance rises as it heats, so its P–V² graph curves; a fixed resistor gives a straight line.

⚠️ Safety

Bulbs get very hot; let them cool before touching. Stay within the bulb's rated voltage.

❓ Quick check

1. A 60 W bulb runs for 10 hours. Energy?

2. Doubling the current through a resistor makes the power…

3. Unit of electrical power?

🏋️ Practice

Easy230 V, 5 A. P?

Answer: 1150 W

Medium2 kW heater for 3 h. Energy?

Answer: 6 kWh

ChallengeP = 100 W at 230 V. I?

Answer: ≈ 0.43 A