# A Charge Density Which Varies Linearly in Time If a is a real constant, the continuity equation is satisfied…

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**Question:**

A Charge Density Which Varies Linearly in Time If a is a real constant, the continuity equation is satisfied by the charge and current distributions rho (r, t) = alpha t j(r, t) = – alpha/3 r. Show by explicit calculation that the net flux of charge into a volume element dV = r^2 drd ohm through its bounding surfaces takes the expected value.

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