Question

A straight wire carries a current of 3A. The magnitude of the magnetic field at a point 15cm away from the wire is

Answer 1

$\large{\bf{\gray{\underline{\underline{\orange{Given:}}}}}}$

Current carried by straight wire = 3A

$\large{\bf{\gray{\underline{\underline{\green{To\:Find:}}}}}}$

We have to find magnitude of the magnetic field at a point 15 cm away from the wire.

$\large{\bf{\gray{\underline{\underline{\pink{Solution:}}}}}}$

➠ Magnetic field due to an infinitely long straight conductor at a distance of R is given by

$\dag\:\underline{\boxed{\bf{\purple{B=\dfrac{\mu_oI}{2\pi R}}}}}$

Let's Calculate :D

$:\implies\tt\:B=\dfrac{\mu_oI}{2\pi R}$

$:\implies\tt\:B=\dfrac{(4\pi\times 10^{-7})\times3}{2\pi\times (15\times 10^{-2})}$

$:\implies\tt\:B=\dfrac{6\times 10^{-5}}{15}$

$:\implies\boxed{\bf{\gray{B=4\times 10^{-6}\:T}}}$