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Saturday, 31 October

JEE Main 2021 · PhysicsMultiple choiceSingle correctHardMulti-step

JEE Main 31 August 2021, Shift 1, Physics Q7

Question 7 of 90 in this shift, Physics question 7 of 30, Section A.

A small square loop of side 'a' and one turn is placed inside a larger square loop of side b and one turn (b > > a). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side 'b', then the coefficient of mutual inductance between the two loops is :
  1. (1)μ04π 82 a2b\frac{\mu_0}{4\pi}\,8\sqrt{2}\,\frac{a^2}{b}Official answer
  2. (2)μ04π 82 b2a\frac{\mu_0}{4\pi}\,8\sqrt{2}\,\frac{b^2}{a}
  3. (3)μ04π 82a\frac{\mu_0}{4\pi}\,\frac{8\sqrt{2}}{a}
  4. (4)μ04π 82b\frac{\mu_0}{4\pi}\,\frac{8\sqrt{2}}{b}

Official answer

Option 1

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 31 Jan 2024, Shift 1 · Q58A small square loop of wire of side ll is placed inside a large square loop of wire of side LL (L=l2L=l^2). The loops are coplanar and…HardNumerical 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. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.