Question

If a single circular loop of wire carries a current of 61 A and produces a magnetic field at its center with a magnitude of 1.70 10-4 T, determine the radius of the loop.

Answer 1

The radius is
`R = 0.22 5 \ m`

Step-by-step explanation:

From the question we are told that

The current is
`I = 61 \ A`

The magnetic field is
`B = 1.70 *10^(-4) \ T`

Generally the magnetic field produced by a current carrying conductor is mathematically represented as

`B = (\mu_o * I)/(2 * R )`

=>
`R = (\mu_o * I )/( 2 * B )`

Here
`\mu_o` is the permeability of free space with value
`\mu_o = 4\pi * 10^(-7) N/A^2`

=>
`R = ( 4\pi * 10^(-7) * 61 )/( 2 * 1.70 *10^(-4) )`

=>
`R = 0.22 5 \ m`