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To find the current density ((J)) of a material, you can use the relation between the current density, the electric field intensity ((E)), and the resistivity ((rho)) of the material. This relationship is given by Ohm’s law in differential form as:
[ J = frac{E}{rho} ]
Given:
– Resistivity, (rho = 20 , text{units})
– Electric field intensity, (E = 2000 , text{units})
Substitute the given values into the equation:
[ J = frac{2000}{20} ]
[ J = 100 , text{units of current density} ]
Therefore, the current density of the material is (100) units.