Question

1m long wire is folded in form of a circular coil and 100mA electric current is flowing in it, then magnetic field at a point 1m away from its centre on its axis is

Answer 1

Explanation:

at last u have to calculate the value....

We have taken 2πr = 1m

because 1m is converted into a coil so circumference is the length of the wire

and used this to find the radius of the wire....

Answer 2

The magnetic field is $1.565\times10^{-9}\ T$

Explanation:

Given that,

Length of wire= 1 m

Current = 100 mA

Distance = 1 m

We need to calculate the magnetic field

Using formula of magnetic field

$B=\dfrac{\mu_{0}ir^2}{2(r^2+x^2)^{\dfrac{2}{3}}}$

Where, i = current

r = radius

x = distance

Put the value into the formula

$B=\dfrac{4\pi\times10^{-7}\times100\times10^{-3}\times(\dfrac{1}{2\pi})^2}{2((\dfrac{1}{2\pi})^2+1^2)^{\dfrac{2}{3}}}$

$B=1.565\times10^{-9}\ T$

Hence, The magnetic field is $1.565\times10^{-9}\ T$

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Topic : magnetic field

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