Question

Problem 5: A wire carries a steady current of 3[ A] . A straight section of the wire is 0.5[ m] long and lies along the y axis within a uniform magnetic field of B =2.3 k [ T] . If the current is in the positive y direction, what is the magnetic force on the section of wire?

Answer 1

The magnetic force acting on the section of the wire of length 0.5 m is 3.45 $\hat i$ N

The current passing through the wire =3 A

Length of the wire which lies along the y-axis = 0.5 m$\hat j$

The magnetic field along the axis = 2.3 T $\hat k$

The magnetic force on the wire can be found using the formula,

                F = IL x B

where I is the current passing through the wire

          L is the length of the wire

          B is the magnetic field

Let us substitute the known values in the above equation, we get

              F = 3(0.5 $\hat j$ x 2.3$\hat k$)

                 = 3 ( 1.15 $\hat i$)

(using the right-hand rule, the cross product of $\hat j$ and $\hat k$ will give +$\hat i$)

              F = 3.35 $\hat i$ N

Therefore, the magnetic force on the wire = 3.35 $\hat i$ N

Learn more about the magnetic force in

https://brainly.com/question/3160109

#SPJ4