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PhysicsInteger+4 / -1Question 56 of 90

JEE Main 2022 · 27 Jul · Shift 1, Physics question 56

A long cylindrical volume contains a uniformly distributed charge of density ρ Cm−3^{-3}. The electric field inside the cylindrical volume at a distance x=2ε0ρx=\dfrac{2\varepsilon_0}\rho m from its axis is ______ Vm−1^{-1}.

A long cylinder of length L with its axis dashed; a point at distance x from the axis inside it.
Answer and worked solution

Official answer: 1

Gauss's law inside: E=ρx2ε0=1E=\frac{\rho x}{2\varepsilon_0}=1 V m−1^{-1}.

Answer: 1

Topics:Electric flux and Gauss's law
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