Question

A segment of wire of total length 3 m carries a 10 A current and is formed into a semicircle. Determine the magnitude of the magnetic field (in micro-tesla) at the center of the circle along which the wire is placed.

Answer 1

`B=3.29\ \mu T`

Step-by-step explanation:

Given that,

Length of a wire is 3 m

Current in the wore, I = 10 A

The wire formed a semicircle.

We need to find the magnitude of the magnetic field (in micro-tesla) at the center of the circle along which the wire is placed.

The magnetic field at the center of semicircle is given by :

`B=(\mu_o I)/(4R)`

R is radius of semicircle,

`R=(3)/(\pi)=0.954\ m`

So,

`B=(4\pi * 10^(-7)* 10I)/(4(0.954))\\\\B=3.29* 10^(-6)\ T\\\\B=3.29\ \mu T`

So, the magnitude of the magnetic field is
`3.29\ \mu T`.