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Earth's lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is $126\frac{V}{m}$ and the field is directed vertically down. This field causes singly charged positive ions, at a density of $516c{m}^{-3},$ to drift downward and singly charged negative ions, at a density of $700c{m}^{-3},$ to drift upward $($see the figure$).$ The measured conductivity of the air in that region is $2\mathrm{.}94{10}^{-14}(-m{)}^{-1}.$ Calculate $(a)$ the magnitude of the current density and $($b$)$ the ion drift speed, assumed to be the same for positive and negative ions.

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