Magnetic Force on Current-Carrying Wire Video Lessons

Concept

Problem: A long wire stretches along the x axis and carries a 3.2 A current to the right ( +x ). The wire is in a uniform magnetic field B = ( 0.21i -0.34j + 0.21k )T.Determine the x-component of the force on the wire per cm of length.Determine the y-component of the force on the wire per cm of length.Determine the z-component of the force on the wire per cm of length.

FREE Expert Solution

We're given:

B = ( 0.21i -0.34j + 0.21k )T.

Magnetic force:

$\overline{){{\mathbf{F}}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbit{I}}{\mathbf{\left(}}{\mathbf{l}}{\mathbf{×}}{\mathbf{B}}{\mathbf{\right)}}}$, where I is current, l is length and B is magnetic field.

Problem Details

A long wire stretches along the x axis and carries a 3.2 A current to the right ( +x ). The wire is in a uniform magnetic field B = ( 0.21i -0.34j + 0.21k )T.

Determine the x-component of the force on the wire per cm of length.

Determine the y-component of the force on the wire per cm of length.

Determine the z-component of the force on the wire per cm of length.