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Question

Physics Question on Electrostatics

A long cylindrical volume contains a uniformly distributed charge of density ρ cm–3.
The electric field inside the cylindrical volume at a distance x=2ε0ρmx=\frac{2ε_0}{ρ} m from its axis is _______ Vm–1

Fig.

Answer

The correct answer is 1
E=ρr2ε0E=\frac{ρr}{2ε_0}
at r=2ε0ρr=\frac{2ε_0}{ρ}
E=ρ2ε0(2ε0ρ)=1E=\frac{ρ}{2ε_0}(\frac{2ε_0}{ρ})=1