The resistance of a wire at room temperature 20°C is found to be 20W. Now to increase the resistance by 20%, the temperature of the wire must be [The temperature coefficient of resistance of the material of the wire is 0.002 per °C].
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120°C
Explanation:
R=20ohm
=24 ohm
α=0.002°
R'=R(1+αΔT)
⇒24 = 20( 1 + 0.002ΔT)
⇒1.2 = 1 + 0.002ΔT
⇒0.2 = 0.002ΔT
⇒200 =2ΔT
⇒ΔT =100°C
temp =T +ΔT = 20+100=120°C
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