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Saturday, 31 October

JEE Main 2024 · PhysicsNumerical answerNumerical valueMediumCalculation

JEE Main 4 April 2024, Shift 2, Physics Q54

Question 54 of 90 in this shift, Physics question 24 of 30, Section B.

Two parallel long current carrying wire separated by a distance 2r2r are shown in the figure. The ratio of magnetic field at AA to the magnetic field produced at CC is x7\frac{x}{7}. The value of xx is ______.

The figure, in words

Two long parallel wires perpendicular to the page plane (drawn as vertical lines with crosses), carrying II (left wire) and 2I2I (right wire), both with upward arrows, separated by 2r2r. Point O is midway between them (distance rr from each); point A lies on the horizontal line a distance rr to the left of the left wire; point C lies a distance rr to the right of the right wire. Field arrows are shown at O.

Official answer

5

NTA final key.

Chapter
Moving Charges and Magnetism
Topic
Biot-Savart Law
Idea tested
Infinite and semi-infinite wires

Same idea in other shifts

Asked 4× in all
  1. 27 Jan 2024, Shift 1 · Q57Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wires is 5.0 cm. The…EasyNumerical valueHas a figure
  2. 29 Jul 2022, Shift 2 · Q36A wire X of length 50 cm carrying a current of 2 A is placed parallel to a long wire Y of length 5 m. The wire Y carries a current of 3 A.…MediumDiagram basedHas a figure
  3. 29 Jun 2022, Shift 2 · Q39Two long current carrying conductors are placed parallel to each other at a distance of 8 cm between them. The magnitude of magnetic field…MediumSingle correct

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.