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
- A.maximum motor force if the current reverses its direction
- B.no motor force of it is parallel to the field
- C.no motor force if it is perpendicular to the field
- 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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