The resistance of a metal wire of length 1m is 26 Ohm at 20 degree Celsius .If the diameter of the wire is 0.03 cm, what will be the resistevity of the metal at that temperature?
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Answer:
We have
Length of the metal wire, I = 1 m
Diameter of the wire, d = 0.3 mm
.. Radius, r = 0.3/2 mm = 0.15 mm = 0.15 x 10-3 m
Resistance of the metal, R = 260
Thus,
Resistivity, p
RA/L
Rx πr²/l
26 x 3.14 x (0.15 x 10-3)
1 1
= 1.84 x 10-8 Qm.
The resistivity of the metal at 20°C is 1.84 x 10-80m.
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