Magnetic Force

The magnetic force on a current-carrying wire is given by: Where:
- is the magnetic force,
- is the current, - is the length of the wire,
- is the magnetic field. Given: - The wire has a length ,
- The current is ,
- The magnetic field .
The magnetic force is the cross product of the current direction and the magnetic field vector. Since the wire is along the x-axis, the force is: The magnitude of the cross product of two vectors is given by: In this case, the angle between the wire direction (along the x-axis) and the magnetic field (which forms an angle of 45 degrees with each of the axes) is 45°. Therefore:
Thus, the magnitude of the force is:
Thus, the magnetic force on the wire is .