In a physics lab a student discovers that the magnitude of the magnetic field in a specific location near a long wire is 20.004 microTesla. If the wire carries a current of 63.246 A, what is the distance from the wire to that location ?

Respuesta :

Given:

The magnetic field is B = 20.004 micro Tesla

The current is I = 63.246 A

To find the distance between the wire and the location.

Explanation:

The distance can be calculated by the formula

[tex]d=\frac{\mu_0I}{2\pi B}[/tex]

Here, the constant is

[tex]\mu_0=4\pi\times10^{-7}\text{ H/m}[/tex]

On substituting the values, the distance between them will be

[tex]\begin{gathered} d=\frac{4\pi\times10^{-7}\times63.246}{2\pi\times20.004\times10^{-6}\text{ }} \\ =0.632\text{ m} \end{gathered}[/tex]

Thus the distance between the wire and the location is 0.632 m