A piece of Nichrome wire has a radius of 8.0 10-4 m. It is used in a laboratory to make a heater that dissipates 2.00 102 W of power when connected to a voltage source of 120 V. Ignoring the effect of temperature on resistance, estimate the necessary length of wire.

3 answers

Can you look up the resisitivity of nichrome?

Resistance= resitivity*deltaLength/area

The resistance should be determined by the power and voltage....R=V^2 /power
Please tell me where I went wrong.

R= V^2/power
R= 120V^2/2.00x10^2
R= 72

Resistance = restivity x delta Length/ area

72 = (100x10^-8)(delta length/ pi r^2)

72 = 9100x10^-8) (delta length/ 0.000002011)

72 - (100x10^-8)*(0.000002011) = deltaL

0.000144792 = delta Length
72 * PI * (8E-4^2) * (1 / 9 100E-8) = 1.59 metes