A long cylindrical volume contains a uniformly distributed charge of density $\rho$ Cm$^{-3}$. The electric field inside the cylindrical volume at a distance $x=\frac{2\varepsilon_0}{\rho}$m from its axis is ___ Vm$^{-1}$.

JEE Main 2022 · PhysicsNumerical answerNumerical valueEasyCalculation

JEE Main 27 July 2022, Shift 1, Physics Q56

Question 56 of 90 in this shift, Physics question 26 of 30, Section B.

A long cylindrical volume contains a uniformly distributed charge of density

\rho

^{-3}

. The electric field inside the cylindrical volume at a distance

x=\frac{2\varepsilon_0}{\rho}

m from its axis is ___ Vm

^{-1}

The figure, in words

A vertical cylinder with a dashed line along its axis; its length is marked L with a double-headed arrow at the left; a point is marked at distance x from the axis.

Official answer

NTA final key.

Chapter: Electric Charges and Fields
Topic: Gauss's Law
Idea tested: Cylindrical Field

Same idea in other shifts

Asked 5× in all

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.