Student Login

Home›Chapters›Electromagnetic Induction PYQs›Mutual Inductance›Question 50

MHT CET 2021 (21 Sep, Shift 1) · Mutual Inductance

Mutual Inductance question from MHT CET 2021 (21 Sep, Shift 1)

Q50MHT CET 2021 · 21 SEP · SHIFT 1Easy

Mutual Inductance

A coil of radius ' $r$ ' is placed on another coil (whose radius is ' $R$ ' and current through it is changing) so that their centres coincide. ( $R > r$ ). If both coplanar, then the mutual inductance between them is proportional to

Show answer and solution

Answer: (d)

Field of big coil at centre: $B = \dfrac{\mu_0 I}{2R}$ , taken uniform over the small coil
$\Phi = B\pi r^2 \Rightarrow M = \dfrac{\mu_0\pi r^2}{2R}$
So $M \propto \dfrac{r^2}{R}$ ; the answer is (d).

Report a mistake

More questions on Mutual Inductance

Two conducting circular loops of radii R1 and R2 are placed in the same plane with their…NEET 2021
A small square loop of side 'a' and one turn is placed inside a larger square loop of…JEE Main 2021 (31 Aug, Shift 1)
Two concentric circular coils, C1 and C2 are placed in the XY plane. C1 has 500 turns…JEE Main 2020 (5 Sep, Shift 1)
Two coils have a mutual inductance of 0.01 H. The current in the first coil changes…MHT CET 2019 (2 May, Shift 1)
Two coils 'P' and 'Q' are separated by some distance. When a current of 3 A flows through…JEE Main 2019 (9 Apr, Shift 2)
There are two long co-axial solenoids of same length l. The inner and outer coils have…JEE Main 2019 (11 Jan, Shift 1)
At the center of a fixed large circular coil of radius R, a much smaller circular coil of…JEE Main 2018 (15 Apr, Shift 2)
A small circular loop of wire of radius a is located at the centre of a much larger…JEE Main 2017 (8 Apr, Shift 1)