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Saturday, 31 October

JEE Main 2024 · PhysicsMultiple choiceDiagram basedMediumApplication

JEE Main 5 April 2024, Shift 1, Physics Q44

Question 44 of 90 in this shift, Physics question 14 of 30, Section A.

Two conducting circular loops A and B are placed in the same plane with their centres coinciding as shown in figure. The mutual inductance between them is :

The figure, in words

Two concentric circular loops in the same plane: small loop A of radius a with centre O, large loop B of radius b; b >> a is marked.
  1. (1)μ02π⋅b2a\frac{\mu_0}{2\pi}\cdot\frac{b^2}{a}
  2. (2)μ02π⋅a2b\frac{\mu_0}{2\pi}\cdot\frac{a^2}{b}
  3. (3)μ0πb22a\frac{\mu_0\pi b^2}{2a}
  4. (4)μ0πa22b\frac{\mu_0\pi a^2}{2b}Official answer

Official answer

Option 4

NTA final key.

Chapter
Electromagnetic Induction
Topic
Inductance
Idea tested
Mutual Inductance of Concentric Circular Loops

Same topic in other shifts

All Inductance questions
  1. 2 Apr 2026, Shift 2 · Q43A 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…HardSingle correct
  2. 5 Apr 2026, Shift 1 · Q50In the given circuit below inductance values of L1L_1, L2L_2 and L3L_3 are same. The magnetic energy stored in the entire circuit is…MediumNumerical valueHas a figure
  3. 6 Apr 2026, Shift 1 · Q43An inductor of inductance 10 mH having resistance of 100 Ω\Omega is connected to battery of E.M.F. 1.0 V through a switch as shown in the…MediumSingle correctHas a figure
  4. 8 Apr 2026, Shift 2 · Q40A 30 cm long solenoid has 10 turns per cm and area of 5 cm2^2. The current through the solenoid coil varies from 2 A to 4 A in 3.14 s.…MediumSingle correct
  5. 2 Apr 2025, Shift 2 · Q43A solenoid having area AA and length ll is filled with a material having relative permeability 2. The magnetic energy stored in the…MediumSingle correct
  6. 5 Apr 2024, Shift 2 · Q59The current in an inductor is given by I=(3t+8)I=(3t+8) where t is in second. The magnitude of induced emf produced in the inductor is 12 mV.…EasyNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. This question needs a figure we do not reproduce; it is described in words above. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.