JEE Main 2024 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 31 January 2024, Shift 2, Physics Q58

Question 58 of 90 in this shift, Physics question 28 of 30, Section B.

The magnetic flux

\phi

(in weber) linked with a closed circuit of resistance

8\ \Omega

varies with time (in seconds) as

\phi=5t^2-36t+1

. The induced current in the circuit at

t=2

s is ____________

A

Official answer

NTA final key.

Chapter: Electromagnetic Induction
Topic: Faraday's Law
Idea tested: Faraday's Law Magnitude

Same idea in other shifts

Asked 8× in all

5 Apr 2026, Shift 2 · Q50A circular loop of radius 20 cm and resistance 2 $\Omega$ is placed in a time varying magnetic field $\vec{B}=(2t^2+2t+3)\ \mathrm{T}$ . At…EasyNumerical value
6 Apr 2026, Shift 2 · Q39A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as $B=0.4\sin(300t)$ Tesla. The normal to the plane…MediumSingle correct
29 Jan 2024, Shift 1 · Q58A square loop of side 10 cm and resistance $0.7\,\Omega$ is placed vertically in east-west plane. A uniform magnetic field of $0.20\ T$ is…EasyNumerical value
11 Apr 2023, Shift 1 · Q53The magnetic field B crossing normally a square metallic plate of area 4 m $^2$ is changing with time as shown in figure. The magnitude of…EasyNumerical valueHas a figure
3 Aug 2021, Shift 2 · Q22The magnetic flux linked with a coil at any instant 't' is given by $\phi = 5t^3 - 100t + 300$ (SI unit). The emf induced in the coil at t…EasyNumerical value
25 Jul 2021, Shift 1 · Q26A circular conducting coil of radius 1 m is being heated by the change of magnetic field $\vec{B}$ passing perpendicular to the plane in…MediumNumerical value
8 Jan 2020, Shift 1 · Q14At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown in the figure. If…MediumSingle correctHas a figure

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 42 of the 174 JEE Main shifts held from 2017 to 2026.