Question

The magnetic field due to a 2-A current flowing in a long, straight wire is 8 μT at a point P, a certain distance away from the wire. How far is this point from the center of the wire?

Answer 1

Distance from the center of wire is 0.05 meters.

Step-by-step explanation:

It is given that,

Current flowing in the wire, I = 2 A

Magnetic field,
`B=8\ \mu T=8* 10^(-6)\ T`

Let d is the distance from the center of the wire. The magnetic field at a distance d from the wire is given by :

`B=(\mu_oI)/(2\pi d)`

`d=(\mu_oI)/(2\pi B)`

`d=(4\pi * 10^(-7)* 2\ A)/(2\pi * 8* 10^(-6)\ T)`

d = 0.05 meters

So, the distance from the wire is 0.05 meters. Hence, this is the required solution.