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Question : 8
Total: 11
A potential difference ( V ) is applied across a conductor of length ' L ' and cross-sectional area ' A '.
How will the drift velocity of electrons and the current density be affected if another identical conductor of the same material were connected in series with the first conductor? Justify your answers.
How will the drift velocity of electrons and the current density be affected if another identical conductor of the same material were connected in series with the first conductor? Justify your answers.
Solution: 👈: Video Solution
Since,
R = P
I =
=
=
I = n e A V d =
when another conductor is joint in series
Effective Resistance = R + R =
Effective current =
=
=
Now
= n e A V d ′
or,
(
) = n e A V d
or,
× n e A V d = n e A V d ′
orV d = 2 V d ′
Drift velocity in second case will be half of the initial drift velocity
Current density= J = n e V d
Initially current density= J = n e V d
When another conductor injured in series current densityJ ′ = n e V d ′
=
=
= 2
∴J = 2 J ′
Current density in second case will be half of the initial current density.
when another conductor is joint in series
Now
or,
or,
or
Drift velocity in second case will be half of the initial drift velocity
Current density
Initially current density
When another conductor injured in series current density
∴
Current density in second case will be half of the initial current density.
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