Question

A 64.7 cm long straight section of wire is located entirely inside a uniform magnetic field of |B| = 0.370 T. The wire is perpendicular to the direction of the magnetic field. When a current runs through the wire a magnetic force of |F| = 0.110 N acts on that section of wire. Calculate the size of the current.

Answer 1

The current is
`I = 0.4595 \ A`

Step-by-step explanation:

From the question we are told that

The length of the wire is
`L = 64.7 \ cm = 0.647 \ m`

The magnetic field is
`B = 0.370 \ T`

The magnetic force is
`F = 0.110 \ N`

Generally the magnetic force exerted by the field is mathematically represented as

`F = IL B sin \theta`

Making I the subject we have

`I = (F)/(LB \ sin\theta)`

The angle here is 90° since the wire is perpendicular to the direction of the magnetic field

Substituting values

`I = (0.110)/( (0.370) * 0.647 \ sin(90))`

`I = 0.4595 \ A`