Physics · 2023
JEE Main · 29 January 2023, Shift 1 · Q6
Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' R ' is placed inside a large square loop of wire of…
Find the mutual inductance in the arrangement, when a small circular loop of wire of radius ' $\displaystyle R$ ' is placed inside a large square loop of wire of side L $\displaystyle (L \gg R)$. The loops are coplanar and their centres coincide :

Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle M=\frac{2 \sqrt{2} \mu_0 R^2}{L}$
More from Electromagnetic Induction
- A square loop of side 10 cm and resistance 0.7 Ω is placed vertically in east-west plane. A uniform magnetic field of 0.20 T is set up across the…2024
- Regarding self-inductance: A. The self-inductance of the coil depends on its geometry. B. Self-inductance does not depend on the permeability of the…2025
- A circular current loop of radius R is placed inside square loop of side length L(L ≫ R) such that they are co-planar and their centers coincide. The…2026
- Three identical coils C_1, C_2 and C_3 are closely placed such that they share a common axis. C_2 is exactly midway. C_1 carries current I in…2026
- When a coil is placed in a time dependent magnetic field the power dissipated in it is P. The number of turns, area of the coil and radius of the…2026
- A square loop of side 15 cm being moved towards right at a constant speed of 2 cm / s as shown in figure. The front edge enters the 50 cm wide…2024
- A 30 cm long solenoid has 10 turns per cm and area of 5 cm^2. The current through the solenoid coil varies from 2 A to 4 A in 3.14 s. The e.m.f.…2026
- A metal rod of length L rotates about one end at origin with a uniform angular velocity ω. The magnetic field radially falls off as B(r)=B_o e^-λ r;…2026
JEE Main 2023 Physics question, with the answer from NTA’s final answer key. Where our answers come from.