What is Ohm's law in vector form.........???
@sunil.sahay92 has answered this question very well. Keep it up. This has been a great help to the users of this community. However I will briefly explain the Ohm’s law in vector form below.
Simply ohm’s law is:
V = IR where V is the potential difference, I is the current and R is the resistance.
Also R = pl/A where p is the resistivity which is material dependent parameter.
Now current density J is a vector quantity given by Jz = I/A if the conductor is aligned along z axis.
Substituting R in V = IR,
V = I * pl/A
Putting value of I/A = J
V = plJ
Also V/l is E which is a vector quantity , so
E = pJ
Or J = σE
Here σ is called conductivity and is 1/p , it is also material dependent.