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QJEEM22Ph46c0: JEE Main 2022 Physics - Class 12 JEEM22Ph46c0 Solution: A long cylindrical volume contains a uniformly distributed…

A long cylindrical volume contains a uniformly distributed charge of density ρ Cm−3\rho \,\mathrm{Cm}^{-3} . The electric field inside the cylindrical volume at a distance x=2ε0ρmx=\frac{2 \varepsilon_{0}}{\rho} \mathrm{m} from its axis is ________ Vm−1\mathrm{Vm}^{-1} .

JEE Main 2022 (Online) 27th July Morning Shift Physics - Electrostatics Question 93 English

Step-by-Step Verified Solution

E=ρr2ε0E = {{\rho r} \over {2{\varepsilon _0}}}

at r=2ε0ρr = {{2{\varepsilon _0}} \over \rho }

E=ρ2ε0(2ε0ρ)E = {\rho \over {2{\varepsilon _0}}}\left( {{{2{\varepsilon _0}} \over \rho }} \right)

=1= 1

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