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Chapter 10 — Chapter 10 — Electromagnetism

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Force on a Current-Carrying Conductor

Source: Physics 11, Ch 10, 10.1

📘Easy summary

A current-carrying conductor placed in a magnetic field experiences a force F = BIL sin θ, where θ is the angle between the conductor (current) and the field. In vector form F = I(L × B). Force is maximum (BIL) when the conductor is perpendicular to the field and zero when parallel. Direction by Fleming's left-hand rule: forefinger — field, middle finger — current, thumb — force (motion). The magnetic field around a straight current is given by the right-hand grip rule; for a current flowing north the field above the wire points west.

⭐Key points

  • F = BIL sin θ.
  • Fleming's left-hand rule.
  • Zero force when parallel.

🔬Diagram

Fleming's left-hand ruleForefinger: FieldMiddle finger: CurrentThumb: Force/MotionMutually perpendicular

🌿Real-life example

2 m conductor ⟂ 0.5 T, force 1 N: I = 1 A.

💡Exam tip

  • Use I = F/(BL sin θ) for current.

✅Quick check

1. Current north; field above the wire points:

2. Force on conductor parallel to B:

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