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-What diameter should you make a nichrome wire so its resistance is 0.010 ? per

ID: 3896744 • Letter: #

Question

-What diameter should you make a nichrome wire so its resistance is 0.010 ? per meter of length?


-You have some copper wire that you want to connect from a power supply to a 180? load. The wire is a standard 24-gauge (diameter 0.51 mm). What's the maximum length of wire you can use without its resistance exceeding 2% of the load resistance? Note: You're finding the total length of wire to and from the load.



The rectangular block below has front-face dimensions of 10 cm by 4 cm, with a depth of 3 cm.(Figure) You will be asked to treat this object as an electrical resistor.


-Rank from largest to smallest


The resistance quadruples. The resistance doubles. The resistance stays the same. The resistance is halved. The resistance is quartered.

Explanation / Answer

R = pl / A

p for nichrome = (1.1*10^-6*1)/A

A=pi*r^2 pi=3.14

(1.1*10^-6*1)/3.14*10^-2=r^2

r=.0186m

=1.86cm

b)resistance of wire is 2% of load =3.6ohms

R = pl / A

resistivity of copper wire =1.7*10^-8

l=AR/p

=3.14*(0.51*10^-3/2)^2*3.6/(1.7*10^-8)

=43.23m



c)R directly proportional to L/A

for Xaxis R=pL/A

=p*3*10^-2/40*10^-4=(300/40)p

for Yaxis

R=pL/A


p*10*10^-2/12*10^-4=p(1000/12)

for Zaxis

R=pL/A

p*4*10^-2/30*10^-4=p(400/30)

IF length breath and height are doubled



then

for Xaxis R=pL/A

=p*6*10^-2/160*10^-4=(600/160)p

for Yaxis

R=pL/A


p*20*10^-2/48*10^-4=p(2000/48)

for Zaxis

R=pL/A

p*8*10^-2/120*10^-4=p(800/120)

by taking ratio of R along X Y and Z axis we got R2 =2R1

that is resistance doubles