Electric Current Practice Test

A cylindrical conductor has a non-uniform current density given by $$J(r) = J_0 (1 - r/R)$$, where $$J_0$$ is a constant, $$R$$ is the radius of the conductor, and $$r$$ is the radial distance from the center. What is the total current $$I$$ flowing through the conductor?

A particle with charge $$q$$ and mass $$m$$ is accelerated from rest through a potential difference $$V_0$$. It then enters a uniform wire of length $$L$$ and cross-sectional area $$A$$, becoming one of the charge carriers. This single particle's contribution to current depends primarily on which property derived from its initial acceleration?