A wire carries a steady current of 2.60 A. A straight section of the wire is 0.750 m long and lies along the x axis within a uniform magnetic field, vector B = 1.50 k T. If the current is in the positive x direction, what is the magnetic force on the section of wire?

Respuesta :

Answer:

The magnetic force on the section of wire is [tex]-2.925\hat{j}\ N[/tex].

Explanation:

Given that,

Current [tex]I = 2.60\hat{i}\ A[/tex]

Length = 0.750 m

Magnetic field [tex]B = 1.50\hat{k}\ T[/tex]

We need to calculate the magnetic force on the section of wire

Using formula of magnetic force

[tex]\vec{F}=l\vec{I}\times\vec{B}[/tex]

[tex]\vec{F}=0.750\times2.60\hat{i}\times1.50\hat{k}[/tex]

Since, [tex]\hat{i}\times\hat{k}=-\hat{j}[/tex]

[tex]\vec{F}=-2.925\hat{j}\ N[/tex]

Hence, The magnetic force on the section of wire is [tex]-2.925\hat{j}\ N[/tex].