Question 658: Electrostatics & Capacitance

Question

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

Accepted Answer

$$E = {{\rho r} \over {2{\varepsilon _0}}}$$
at $$r = {{2{\varepsilon _0}} \over \rho }$$
$$E = {\rho  \over {2{\varepsilon _0}}}\left( {{{2{\varepsilon _0}} \over \rho }} \right)$$
$$ = 1$$

Electrostatics & Capacitance

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

Integer / Numeric Answer Type