Solving Magnetism Problem: Determine Force per Unit Length

[neelakash]

Homework Statement

A long straight conductor carries a current I.Determine force per unit length of the conductor when it is placed in a unifrom magnetic field B.

Homework Equations

The Attempt at a Solution

I got BI sin(theta) where theta is the angle between wire and the B field.
Please check if I am correct.

 

[G01]

I believe you are correct, since:

$$F/L = \vec{I} X \vec{B} = IB\sin\theta$$

 

[m2003]

Your solution is correct. The force per unit length on the conductor can be calculated using the equation F = BI sin(theta), where B is the magnetic field and I is the current in the conductor. This equation is known as the Lorentz force law and is commonly used to calculate the force on a charged particle in a magnetic field. In this case, the conductor is carrying a current, which is essentially a flow of charged particles, so the same equation can be used to calculate the force on the entire length of the conductor. It is important to note that the angle theta represents the angle between the direction of the current and the direction of the magnetic field. If the current is parallel to the magnetic field, then the force per unit length would be zero. This equation can be used to solve various problems related to magnetism and is an important tool in the study of electromagnetism.