JEE Main 2021PhysicsCurrent ElectricityElectric Current Current Density And Drift VelocityeasyNumerical

JEE Main 2021Current Electricity Question with Solution

From: JEE Main 2021 (Online) 24th February Evening Shift

Question

A cylindrical wire of radius 0.5 mm and conductivity 5 107 S/m is subjected to an electric field of 10 mV/m. The expected value of current in the wire will be x3 mA. The value of x is _________.

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation

We know that current density,

J = E

J = 5 107 10 103

J = 50 104 A/m2

Current flowing;

I = J R2

I = 50 104 (0.5 103)2

I = 5 104 0.25 106

I = 125 103

x = 5

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About this question

This is a previous-year question from JEE Main 2021, covering the Current Electricity chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.