JEE Mains · Physics · STD 12 -Electromagnetic induction
- JEE Mains 2022
- Hard
- MCQ
A small square loop of wire of side \(l\) is placed inside a large square loop of wire \(L(L \gg l)\). Both loops are coplanar and their centres coincide at point \(O\) as shown in figure. The mutual inductance of the system is.
Pick an option to check your answer.
Answer & Solution
Correct Answer
(C) \(\frac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi L }\)
Step-by-step Solution
Detailed explanation
Assuming current I in outer loop magnetic field at
\(\text { centre }=4 \times \frac{\mu_{0} i}{4 \pi \times \frac{L}{2}} \times\left(2 \sin 45^{\circ}\right)=\frac{2 \sqrt{2} \mu_{0} i}{\pi L }\)
\(M =\frac{\text { Flux through inner loop }}{ i }\)
\(M =\frac{2 \sqrt{2} \mu_{0} \ell^{2}}{\pi L }\)
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