The heater element of a 120-V toaster is a 5.1-m length of nichrome wire, whose
ID: 2147207 • Letter: T
Question
The heater element of a 120-V toaster is a 5.1-m length of nichrome wire, whose diameter is 0.63 mm. The resistivity of nichrome at the operating temperature of the toaster is 1.3x10^-6 ohm*m The nichrome wire is replaced by a 5.5-m length of tungsten wire. The power of the toaster, when operated at a voltage of 120 V, remains unchanged when the wire replacement is made. The resistivity of tungsten, at the operating temperature of the toaster, is 2.4x10^-7 ohm*m. The diameter of the tungsten wire is closest to:a)0.17 mm
b)0.27 mm
c)0.22 mm
d)0.12 mm
e)0.32 mm
Explanation / Answer
we have, Power = V^2/R R = p L/A A = pi d^2/4 diamter = d = 0.22 mm
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