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To find the current density ((J)) of a material, we can use the relation between current density, electric field intensity ((E)), and resistivity ((rho)) given by the formula:
[J = frac{E}{rho}]
Given:
– The resistivity of the material, (rho = 20) units
– The electric field intensity, (E = 2000) units
Substitute the given values into the formula:
[J = frac{2000}{20} = 100]
Therefore, the current density ((J)) of the material is (100) units.
d
Explanation: The current density is given by J = σ E, where σ is the conductivity. Thus
resistivity ρ = 1/σ. J = E/ρ = 2000/20 = 100 units.