an aluminium wire has resistance of 25 ohm at 20°c.what is the resistance at 50 c .temperature coefficient of copper is 0.00403 at20c
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Answer:
Given : R
T
=60 ohms @ T=500
o
C
Also, R
T
′
=20 ohms @ T
′
=20
o
C
Resistance at a given temperature R
T
=R
T
′
[1+α(T−T
′
)]
∴ 60=20[1+α(500−20)]
⟹ α=
480
2
=0.00417
Let resistance of wire is 25 ohm at temperature T
′′
.
∴ R
T
′′
=R
T
′
[1+α(T
′′
−T
′
)]
OR 25=20[1+(0.00417)(T
′′
−20)]
⟹ T
′′
=80
o
C
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