Question

Find the magnetic field at point P due to given arrangements of current carrying i
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Answer 1

The net magnetic field due to the two straight current carrying conductors carrying a current of magnitude i at P is $\frac{\mu_0 i}{\pi r}$ .

Explanation :

• Since we know that  the magnetic field due to a straight current carrying conductor at a point located at a distance r is :

    = $\frac{\mu_0 i}{2\pi r}$   ( i is magnitude of current )

• Now, here the magnetic field due to the conductor in which current flows outwards is in vertical direction .

• Also the magnetic field due to the conductor in which current flows inwards is in the vertical direction .
• Since the direction for both magnetic fields is same , so the the net magnetic field at P is :

      = $\frac{\mu_0i}{2\pi r} + \frac{\mu_0i}{2\pi r} = \frac{2\mu_0i}{2\pi r}$

      = $\frac{\mu_0i}{\pi r}$