Question

A flat circular coil having a diameter of 25 cm is to produce a magnetic field at its center of magnitude, 1.0 mT. If the coil has 100 turns how much current must pass through the coil?

Answer 1

Answer:

The current pass through the coil is 6.25 A

Explanation:

Given that,

Diameter = 25 cm

Magnetic field = 1.0 mT

Number of turns = 100

We need to calculate the current

Using the formula of magnetic field

$B =\dfrac{\mu_{0}NI}{2\pi r}$

$I=\dfrac{B\times2\pi r}{\mu N}$

Where, N = number of turns

r = radius

I = current

Put the value into the formula

$I=\dfrac{1.0\times10^{-3}\times2\pi\times12.5\times10^{-2}}{4\pi\times10^{-7}100}$

$I=6.25\ A$

Hence, The current passes through the coil is 6.25 A