Question

ohms law in vector form​

Answer 1

#Red official

Vector Form of Ohm's Law

Jˉ is the current density, Eˉ is the electric field and σ is conductivity. Conductivity is the reciprocal of resistivity.

The vector form is j=σE,

Where j the current density SI unit : A/m²

E is electric field with SI unit V/m

σ is the conductivity (reciprocal of resistivity).

W.K.T R = ρl/A

A - Cross sectional Area , l - Length of the conductor

V= IR

Therefore, V = Iρl/A

j = I/A

Therefore, V = jρl

W.K.T V = El

Therefore, El = jρl

E = jρ

ρ = 1/σ

Therefore, E= j/σ

j=σE

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