Question

The magnetic induction at a point 1cm from a thin, infinitely long, straight wire carrying a current is 100micro Tesla. What is the current in the conductor.

Answer 1

Given that,

Magnetic field, B = 100 μT

To find,

Current in the conductor.

Solution,

The magnetic field due to an infinitely long, straight wire at a distance of 1 cm is given by :

$B=\dfrac{\mu _o I}{2\pi r}\\\\I=\dfrac{2\pi r B}{\mu_o}\\\\I=\dfrac{2\pi \times 10^{-2}\times 100\times 10^{-6}}{4\pi \times 10^{-7}}\\\\I=5\ A$

So, the current in the conductor is 5 A.