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:

$\mathrm{B}{\mathrm{B}}=\frac{\mu{0} \mathrm{I}}{2 \mathrm{a}} \mathrm{B}{\mathrm{A}}=\frac{\mu{0} \mathrm{I}}{2 \mathrm{a}}$

$\because B_{n e t}=\frac{\sqrt{2} \mu_{0} I}{2 a}$