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An element, Deltavect=Deltaxhati is plac...

An element, `Deltavect=Deltaxhati` is placed at the origin as shown in figure and carries a current 5A. Find out the magnetic field at point P on the z-axis at a distance of `2-0m` due to the element `Deltax=1cm`. Give also, the direction of the magnetic field produced.

Text Solution

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Here, `Idvecl=I Deltaxhati`, where `I=5A`
`Deltax=1cm=10^-2m, r=2.0m, vecr=2.0hatk`
`dvecB=(mu_0)/(4pi)(Idveclxxvecr)/(r^3)=(mu_0)/(4pi)(I(Deltaxhati)xx(2.0hatk))/(r^3)`
`10^-7xx(5xx10^-2xx2.0)/(2^3)(-hatj)`
`=1.25xx10^-9T` along `-y` direction
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