Question

In: Physics

Write the differences between displacement current and conducting current by properly drawing the figures. We know:...

Write the differences between displacement current and conducting current by properly drawing the figures. We know: It is possible to express the conducting current by the surface integration of conducting current density.

Question: When to use the closed surface integral and when to use the open surface integral for such calculations of conducting current?

Hints: Conducting current can be considered as a type of flux. From the point of view of flux calculation, try to explain the matter by drawing proper figures.

Solutions

Expert Solution

1. Conduction current-

(i) The conduction current is due to the trnsport of charge.

(ii) A steady electric field gives rise to conduction current.

(iii) The equation of continuity for conduction current,

  

J= Conduction current density; = Volume charge density.

Displacement current-

(i) The displacement current is not due to transport of charge.

(ii) A changing electric flux () gives rise to displacement current.

(iii) The equation of continuity for displacement current,

E= Electric fiels

2.

Here the integral is open surface integral because the lines flows out of the surface.

If the lines don't flow out of the surface,the lines circulate the surface as shown below,then closed surface integral is uded.

  


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