WAEC 2022 Physics · Question 23

Which of the following statements about a straight current-carrying wire placed in a uniform magnetic field is correct? The wire experiences ---------------

Options

  1. A.maximum motor force if the current reverses its direction
  2. B.no motor force of it is parallel to the field
  3. C.no motor force if it is perpendicular to the field
  4. D.a motor force with constant direction if either the current or the magnetic field is reversed

Answer: B. no motor force of it is parallel to the field

Explanation written with AI and checked against the answer key

Analyze the question: We need the true statement about the force (the "motor force") on a current-carrying wire in a uniform magnetic field.

Concept: The force on a straight wire is

F = B I L sin θ

where θ is the angle between the wire (current direction) and the magnetic field. The direction of the force is given by Fleming's Left-Hand Rule, and it is perpendicular to both the current and the field.

Checking each option:

  • A. Maximum force if the current reverses direction. Wrong. Reversing the current reverses the direction of the force. It does not make the force maximum.
  • B. No motor force if it is parallel to the field. Correct. When the wire is parallel to the field, θ = 0°, so sin 0° = 0 and F = 0. (The "of" in the option is a typo for "if".)
  • C. No motor force if it is perpendicular to the field. Wrong. When θ = 90°, sin 90° = 1, so the force is at its maximum, not zero.
  • D. Motor force with constant direction if either current or field is reversed. Wrong. Reversing either one reverses the force direction. (Reversing both together would leave the direction unchanged.)

Answer: B.

Tip: Remember "parallel = zero, perpendicular = maximum" for the force on a wire in a magnetic field. The wire must cut across the field lines to feel a force. If it runs along them, nothing happens.

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