CBSE Class 12 Physics 2023 Delhi Set 2 Paper

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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.
Since,
R=P
L
A

I=
V
R
=
V
ρL
A
=
VA
ρL

I=neAVd=
VA
ρL

when another conductor is joint in series
Effective Resistance =R+R=
2ρL
A

Effective current =
V
2R
=
V
2ρL
A
=
VA
2ρL

Now
VA
2ρL
=neAVd

or,
1
2
(
VA
ρLa
)
=neAVd

or,
1
2
×neAVd
=neAVd

or Vd=2Vd
Drift velocity in second case will be half of the initial drift velocity
Current density =J=neVd
Initially current density =J=neVd
When another conductor injured in series current density J=neVd
J
J
=
Vd
Vd
=
2Vd
Vd
=2

J=2J
Current density in second case will be half of the initial current density.
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