Magnetic Effects Of Current Question 10

Question 10 - 29 January - Shift 1

The magnitude of magnetic induction at mid-point $O$ due to current arrangement as shown in Fig will be :

(1) $\frac{\mu_0 I}{2 \pi a}$

(2) 0

(3) $\frac{\mu_0 I}{4 \pi a}$

(4) $\frac{\mu_0 I}{\pi a}$

Show Answer

Answer: (4)

Solution:

Formula: Magnetic field due to circular loop

Magnetic field due to current in $BC$ and ET are outward at point ’ $O$ '

$B_0=\frac{\mu_0 i}{4 \pi r}+\frac{\mu_0 i}{4 \pi r}=\frac{\mu_0 i}{2 \pi r}=\frac{\mu_0 i}{\pi a}$