I think that part (a) is asking "What can be inferred by applying conservation of charge to an arbitrary control volume?
I found the following breakdown that I think helps answer part (a), but I have no idea how to do part (b).
Thanks guys!
2026-03-29 02:45:22.1774752322
I need help solving this problem regarding charge conservation and electric current.
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By electroneutrality, $0\approx\partial_t\rho_e=-\vec{\nabla}\cdot\vec{J}=\kappa_e\nabla^2\phi$.