What is the relationship between electric field intensity E, current density J and specific resistance ρ ?

Question

What is the relationship between electric field intensity E, current density J and specific resistance ρ ? (A) J=(1/ρ) E (B) J=ρ E (C) E=(ρ/J) (D) ρ=JE

Tardigrade Admin · Accepted Answer

According to electron theory of metals for a conductor resistivity ρ in terms of electric field E and current density J is ρ=(E/J) or J=(1/ρ) E

Q. What is the relationship between electric field intensity $E$ , current density $J$ and specific resistance $ρ$ ?

$J = \frac{1}{ρ} E$

$J = ρE$

$E = \frac{ρ}{J}$

$ρ = J E$

According to electron theory of metals for a conductor resistivity $ρ$ in terms of electric field E and current density J is
$ρ = \frac{E}{J}$ or $J = \frac{1}{ρ} E$

Q. What is the relationship between electric field intensity E, current density J and specific resistance ρ ?

J=ρ1​E

J=ρE

E=Jρ​

ρ=JE