#. The resistance of a metal wire of length 1 m
is 26 ohm at 20° C. If the diameter of the wire
is 0.03 cm, what will be the resistivity of
the metal at that temperature? [HSLC' 19] i
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Resistance of a metal wire ...
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Asked on December 26, 2019 by
Angèliña Kadam
Resistance of a metal wire of length 1 m is 26Ω at 20
∘
C. If the diameter of the wire is 0.3 mm, what will be the resistivity of the metal at that temperature? Using Table 12.2. predict the material of the wire.
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ANSWER
R=26 Ω
l=1m
d−0.3mm
r=
2
d
=
2
0.3×10
−3
=0.15×10
−3
m
A=πr
2
=3.14×(0.15×10
−3
)
2
=0.071×10
−6
m
2
R=
A
ρL
or ρ=
l
RA
=
1
26×0.071×10
−6
=1.84×10
−6
Ωm
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