A circular loop of wire with a diameter of 13.478 cm is in the horizontal plane and carries a current of 1.607 A counterclockwise, as viewed from above. What is the magnetic field, in microTeslas, at the center of the loop?

Respuesta :

Given:

The number of the loops, n = 1

The diameter of the loop is d = 2r = 13.478 cm

The current in the loop is I = 1.607 A

To find the magnetic field in micro Tesla

Explanation:

The magnetic field can be calculated by the formula

[tex]B\text{ =}\frac{n\mu_0I}{2r}[/tex]

Here, the value of the constant is

[tex]\mu_0=\text{ 12.57}\times10^{-7}\text{ H/m}[/tex]

On substituting the values, the magnetic field will be

[tex]\begin{gathered} B=\frac{1\times12.57\times10^{-7}\times1.607}{13.478\times10^{-2}} \\ =1.499\text{ }\times10^{-5}\text{ T} \\ =14.99\times10^{-6}\text{ T} \\ =14.99\text{ }\mu T \end{gathered}[/tex]

The magnetic field is 14.99 micro Tesla