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  • A long cylindrical volume contains a uniformly distributed charge of density <img alt="\text{Cm}^{-3}" src="https://e

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

Option: 1

1


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{\begin{aligned} q_{\text {enc }} &=\varrho A l \\ q_{\text {enc }} &=\varrho \times\left(\pi x^2\right) l \end{aligned}}

\mathrm{\begin{aligned} &\oint \bar{E} \cdot d \bar{A}=\frac{q_{\text {enc }}}{\varepsilon_0} \\ &E \times 2 \pi x l=\frac{5 \times \pi x^2 l}{\varepsilon_0} \end{aligned}}

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

at \mathrm{x=\frac{2 \varepsilon_0}{\varrho }}

\mathrm{E= 1 v/m}

Posted by

Rishabh

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