Question

What is current density?
Obtain ohm's law in vector form.​

Answer 1

Answer:

In electromagnetism, current density is the amount of charge per unit time that flows through a unit area of a chosen cross section.

J=σE is the vector format of ohms law

Here J= current density & σ=conductivity & V=lE

Proof-

LHS= J=I/A=V/RA

RHS=σE=lE/RA=V/RA

So, LHS=RHS

Hence proved.