Electromagnetic Induction Question 7

Question 7 - 2024 (30 Jan Shift 1)

Two insulated circular loop $A$ and $B$ radius ’ $a$ ’ carrying a current of ’ $I$ ’ in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be :

(1) $\frac{\sqrt{2} \mu _0 I}{a}$

(2) $\frac{\mu _0 I}{2 a}$

(3) $\frac{\mu _0 I}{\sqrt{2} a}$

(4) $\frac{2 \mu _0 I}{a}$

Show Answer

Answer: (3)

Solution:

$B _B=\frac{\mu _0 I}{2 a} B _A=\frac{\mu _0 I}{2 a}$

$\because B _{n e t}=\frac{\sqrt{2} \mu _0 I}{2 a}$