Why boundary condition in steady electric current?

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SUMMARY

The discussion centers on the behavior of current density at the boundary between two conductors with differing conductivities in a steady electric current scenario. It is established that while the electric field direction remains constant, the current density direction can change due to the varying conductivities of the materials. This phenomenon aligns with the principles of parallel resistors, where current distribution is influenced by the conductivities of the materials involved.

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  • Basic principles of steady-state electric current
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mai fouad
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when we electric field between two conductors in certain direction the current density should pass in its direction why current density direction change at boundary although the direction of electric field is the same for both conductors

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The current density does depend on the electric field strength, but it does not depend only on the electric field strength.

The diagram shows two materials with different conductivities in parallel - if they have the same cross-section, the currents will depend on their conductivities right? That's just the parallel resistors rule.
 

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