Question

If l is the length of a conductor lying within the magnetic field and I is the ampere current carried by it, then magnitude of the force experienced by it is:
1. F = Idl sin θ
2. F = Il
3. F = IlB sin θ
4. F = Il sin θ

Answer 1

Correct Answer - Option 3 : F = IlB sin θ

Explanation:

The force experienced by a current-carrying conductor lying in a magnetic field is with an angle θ is given by

F = BIL sin θ

Where,

B = Magnetic flux density of the field

I = Current

L = Length of the conductor perpendicular to the magnetic field

Here angle θ represents the direction of the field and the current.

Therefore, the force on the current-carrying conductor in a magnetic field depends upon

• The magnetic flux density of the field (B)
• The strength of the current (I)
• The length of the conductor perpendicular to the magnetic field (l)
• The directions of the field and the current