Magnetic Force On A Current Carrying Wire

To find the force acting on a current-carrying wire placed in a magnetic field, we use the formula for the magnetic force on a current segment: .

Given:

• Current,
• Length of the wire,
• Direction along , so
• Magnetic field,
• Convert to :
• Thus,

The cross product is:

The cross products are:

So,

Now, compute :

Expressing in :

The force acting on the segment is .