Student Login

Home›Chapters›Electromagnetic Induction PYQs›Mutual Inductance›Question 12

MHT CET 2026 (17 Apr, Shift 2) · Mutual Inductance

Mutual Inductance question from MHT CET 2026 (17 Apr, Shift 2)

Q12MHT CET 2026 · 17 APR · SHIFT 2Easy

Mutual Inductance

Two planar concentric rings of metal wire having radii ' $r_1$ ' and ' $r_2$ ' (with $r_1 > r_2$ ) are placed in air. The current 'I' is flowing through the coil of larger radius. The mutual inductance between the coils is given by ( $\mu_0$ = permeability of free space)

Show answer and solution

Answer: (b)

Field of larger ring at centre: $B = \dfrac{\mu_0 I}{2r_1}$ , taken uniform over the smaller ring
Flux through smaller ring: $\Phi = \dfrac{\mu_0 I}{2r_1}\pi r_2^2$
$M = \dfrac{\Phi}{I} = \dfrac{\mu_0\pi r_2^2}{2r_1}$
So the answer is (b) $\dfrac{\mu_0\pi r_2^2}{2r_1}$ .

Report a mistake

More questions on Mutual Inductance

A circular coil of radius 'r' is placed on another circular coil whose radius is 'R' and…MHT CET 2026 (16 Apr, Shift 2)
Two concentric circular coils having radii r₁ and r₂ ( r₂ r₁) are placed co-axially with…MHT CET 2026 (15 Apr, Shift 2)
A circular current loop of radius R is placed inside square loop of side length L ( L R)…JEE Main 2026 (2 Apr, Shift 2)
Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length…JEE Main 2026 (23 Jan, Shift 2)
Two coils P and Q are kept near each other. When no current flows through coil P and…MHT CET 2025 (26 Apr, Shift 2)
When magnetic flux changes from 6.5 × 10⁻² Wb to 11 × 10⁻² Wb and the change in current…MHT CET 2025 (26 Apr, Shift 1)
Two coils P and Q are kept near each other. When no current flows through coil P and…MHT CET 2025 (21 Apr, Shift 1)
The coefficient of mutual induction is 2 H and induced e.m.f. across secondary is 2 kV…MHT CET 2025 (20 Apr, Shift 1)