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F = BIL sinθ

PHY049 · Magnetism · Classes 10–12

Force on conductor

Objective: To show that a current-carrying conductor in a magnetic field feels a force (the motor effect).

🧰 Apparatus

  • Horseshoe magnet
  • Two metal rails
  • Copper rod
  • Low-voltage supply
  • Wires

📐 Formulas and SI units

F = BIL sin θ (N)
Fleming's left-hand rule

💡 Theory

A wire carrying current across a magnetic field is pushed sideways with F = BIL sin θ. Fleming's left-hand rule: first finger = field, second finger = current, thumb = motion. This force turns electric motors.

🪜 Procedure

  1. Place the rails between the poles of the magnet and lay the rod across them.
  2. Connect the rails to the supply and switch on briefly.
  3. Watch the rod roll and note its direction.
  4. Reverse the current, then reverse the magnet: observe.
  5. Increase the current and compare.

📋 Observations Simulated values

✅ Result and conclusion

In 0.5 T, a 0.1 m rod carrying 2 A is pushed with 0.1 N, perpendicular to both the field and the current.

🔬 In a real lab

Friction between the rod and rails must be overcome first; the magnet's field is not uniform at the edges.

⚠️ Safety

Short circuits through the rails heat them: switch on only briefly with a current-limited supply.

❓ Quick check

1. The force is zero when the wire is…

2. Fleming's left-hand rule: the thumb shows…

3. Which device uses this effect?

🏋️ Practice

EasyB = 1 T, I = 3 A, L = 0.2 m. F?

Answer: 0.6 N

MediumSame at 30° to the field?

Answer: 0.3 N

ChallengeTwo ways to reverse the force?

Answer: Reverse the current or the field