Magnetic Effects & Magnetism

JEE Main level, single correct, medium

229 of 276

Question 229 of 276

Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed vv in a uniform magnetic field BB going into the plane of the paper (see figure). If charge densities σ1{\sigma }_{1} and σ2{\sigma }_{2} are induced on the left and right surfaces respectively of the sheet, then (ignore fringe effects)

Show answer and solution

Answer: (B) σ1=ϵ0vB,σ2=−ϵ0vB{\sigma }_{1}={ϵ}_{0}vB,{\sigma }_{2}=-{ϵ}_{0}vB

σ1=−σ2{\sigma }_{1}=-{\sigma }_{2} [due to magnetic force]

E=σϵ0=vBE=\dfrac{\sigma }{{\epsilon }_{0}}=vB

σ=ϵ0vB\sigma ={\epsilon }_{0}vB

JEE Main question paper PDF

Open a shift to read the full paper on this page, or download it.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Explain it as a whiteboard videoStep-by-step, in Hinglish or English. Your first video needs no login.Solved it on paper but got it wrong?Upload a photo of your working. Mistake Doctor marks the exact line that broke.

More Physics practice

JEE Main Physics practice question on Magnetic Effects & Magnetism (Force and Torque on Current Carrying Conductor), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.