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

Answer:

Distance from the center of wire is 0.05 meters.

Explanation:

It is given that,

Current flowing in the wire, I = 2 A

Magnetic field, $B=8\ \mu T=8\times 10^{-6}\ T$

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

$B=\dfrac{\mu_oI}{2\pi d}$

$d=\dfrac{\mu_oI}{2\pi B}$

$d=\dfrac{4\pi \times 10^{-7}\times 2\ A}{2\pi \times 8\times 10^{-6}\ T}$

d = 0.05 meters

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