Question

A current of 02kA is traveling through a circularly looped wire. The wire makes 35 turns around an induced magnetic field of 8 9nt, each loop which is of equal size, What is the radius of one of these loops of

Answer 1

Answer:

The radius of the loop is $4.94\times10^{5}\ m$

Explanation:

Given that,

Current = 0.2kA = 200 A

Number of turns = 35

Magnetic field = 8.9 nT

We need to calculate the radius of one loop

Using formula of magnetic field

$B=\dfrac{N\mu_{0}I}{2r}$

$r=\dfrac{N\mu_{0}I}{2B}$

Where, I = current

N = number of turns

B = magnetic field

r = radius

Put the value into the formula

$r=\dfrac{35\times4\pi\times10^{-7}\times200}{2\times8.9\times10^{-9}}$

$r =494183.11\ m$

$r=4.94\times10^{5}\ m$

Hence, The radius of the loop is $4.94\times10^{5}\ m$