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The force on a straight conductor of length \( L \) carrying current \( I \) in a uniform field \( B \) is

  • A.\( BI/L \)
  • B.\( BIL\sin\theta \), where \( \theta \) is the angle between the conductor and the field
  • C.\( BIL\cos\theta \)
  • D.\( BIL \) whatever the orientation of the conductor

Answer: B

The vector form is \( I\mathbf{L} \times \mathbf{B} \), so the force is greatest when the conductor lies across the field and zero when it lies along it. The force is perpendicular to both, which is what makes a motor turn.

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