What is the relation between current density and electric field?


Current density J is a vector quantity that is defined as the current flowing per unit area measured in a direction normal to the direction of flow of charge.

|J| = |I|/ A

Substituting the value of I and Vd in this equation |J| = |I|/ A ;

|J|= nAqVd / A

= nq. (qt|E|/ m)

|J| = (nq2t/ m).|E|

The vector J is parallel to the electric field vector.

In the above equation, the quantity nq2t/m is called conductivity σ.

|J| = (nq2t/ m).|E| = σ |E|

Articles to Explore:

  1. What are electric lines of force? State the properties of lines of force.
  2. Define the terms electric field (E) and the potential difference between the two points. Derive the relationship between the two.

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