A heater (electric) uses a tungsten heating element (resistor). The element is 3

Question

A heater (electric) uses a tungsten heating element (resistor). The element is 3m long and the heater is 1500 watts powers the heater is connected to 120 V source. The resistivity of tungsten at 20 degrees Celsius is 5.6 X 10^-8 m. What is the cross-sectional area of the write and it's radius? Assume the temperature stays the same at 20 degrees Celsius.

A heater (electric) uses a tungsten heating element (resistor). The element is 3m long and the heater is 1500 watts powers the heater is connected to 120 V source. The resistivity of tungsten at 20 degrees Celsius is 5.6 X 10^-8 m. What is the cross-sectional area of the write and it's radius? Assume the temperature stays the same at 20 degrees Celsius.

Explanation / Answer

P= V^2/R

P = 1500 W

V = 120 v

R = 9.6 ohm

we know

R = rho*L/A

rho = restivity = 5.6 x 10^-8 ohm-m

L = 3

A = rho*L/R

A = 1.75 x 10^-8 m^2

we know A = pi*r^2

r = sqrt(A/pi)

r = 7.46 x 10^-5 m

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