Question

The force on a current-carrying conductor placed in a magnetic field becomes zero, when it is:

• A. Perpendicular to the magnetic field
• B. Parallel to the magnetic field
• C. At an angle of 45° to the magnetic field
• D. In the direction of magnetic flux

Hint:

For maximum force, the conductor should be perpendicular to the magnetic field.

Answer 1

The Correct Option is B

1. Force on a current-carrying conductor in a magnetic field:
The force on a current-carrying conductor in a magnetic field is given by the equation: \[ F = I L B \sin \theta \] where \( I \) is the current, \( L \) is the length of the conductor, \( B \) is the magnetic field strength, and \( \theta \) is the angle between the magnetic field and the direction of the current. 2. When the conductor is parallel to the magnetic field:
If the conductor is parallel to the magnetic field, then the angle \( \theta = 0^\circ \), and since \( \sin 0^\circ = 0 \), the force on the conductor becomes zero. 3. When the conductor is perpendicular to the magnetic field:
If the conductor is perpendicular to the magnetic field, the angle \( \theta = 90^\circ \), and \( \sin 90^\circ = 1 \). This results in the maximum force. 4. Other cases:
For any other angle, the force will have a non-zero value, with maximum force occurring at \( 90^\circ \).