Does Current Remain Constant in a Wire with Varying Cross Sections?

[Mitchtwitchita]

Homework Statement

Just wondering if a wire of varying circular cross section would have varying currents, or if the conservation law applies, and the current is the same at all points despite the varying circular cross sections?

Homework Equations

The Attempt at a Solution

 

[kuruman]

The number of Coulombs/second passing through any cross sectional area will be the same otherwise you would have accumulation of charge somewhere. In other words, the conservation law applies.