NemaxameN
Mar29-09, 04:07 PM
1. The problem statement, all variables and given/known data
A 530 W heating coil designed to operate from 110 V is made of Nichrome wire 0.500 mm in diameter.
(a) Assuming that the resistivity of the Nichrome remains constant at its 20.0°C value, find the length of wire used.
(b) If the diameter of the wire were doubled, how long would the wire be if it had the same resistance?
My chart says rhoNichrome=1.1E-6
2. Relevant equations
P=VI
V=IR
rho=R(A/l)
A=pi*r^2
3. The attempt at a solution
0.5/2=0.25 (radius)
pi*(0.25)^2=0.196mm^2 = A
V=IR => I=V/R
P=V(V/R) => 530=110^2/R
R=22.83 ohms
1.1E-6=22.83(0.196E-6/l)
l=~4.07m
But this answer is wrong. If someone could help me find my mistake in part A, I can work part B. Thanks!!
A 530 W heating coil designed to operate from 110 V is made of Nichrome wire 0.500 mm in diameter.
(a) Assuming that the resistivity of the Nichrome remains constant at its 20.0°C value, find the length of wire used.
(b) If the diameter of the wire were doubled, how long would the wire be if it had the same resistance?
My chart says rhoNichrome=1.1E-6
2. Relevant equations
P=VI
V=IR
rho=R(A/l)
A=pi*r^2
3. The attempt at a solution
0.5/2=0.25 (radius)
pi*(0.25)^2=0.196mm^2 = A
V=IR => I=V/R
P=V(V/R) => 530=110^2/R
R=22.83 ohms
1.1E-6=22.83(0.196E-6/l)
l=~4.07m
But this answer is wrong. If someone could help me find my mistake in part A, I can work part B. Thanks!!