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Standard XII
Physics
Current Density Vector
The electric ...
Question
The electric field E, current density J and conductivity
σ
of a conductor are related as
A
σ
=
E
/
j
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B
σ
=
j
/
E
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C
σ
=
j
E
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D
σ
=
1
/
j
E
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Solution
The correct option is
B
σ
=
j
/
E
Let I current flow through a conductor when applied potential difference V volt.
then, from ohm’s law,
I
=
V
R
But
R
=
ρ
L
A
Therefore,
I
=
V
ρ
L
A
⟹
I
A
=
V
ρ
L
but,
I
A
=
J
,
V
L
=
E
Hence,
J
=
σ
E
⟹
σ
=
J
E
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