A 60 Ω resistor is made by winding platinum wire into a coil at 20°C. If the platinum has resistivity
r=10.4x10-8 Wm at 20°C and the platinum wire has a diameter of 0.10 mm, what length of wire is
needed?
We use the formula
Where R= resistance in ohms
= resistivity in Wm
L = Length of wire
A = Cross sectional area
We have,
R=6, =10.4 x 10-8Wm at 20°c
radius (r)= = = 0.05mm
We convert to meters
0.05mm = 5 x 10-5m
Now, we find the Area
Area = r2
Where = , r = 5 x 10-5
Area = * (5 x 10-5)2
= * 2.5 x 10-9
= 7.86 x 10-9
Now, using the formula
Making L the subject of the formula
=
=
=
Therefore, the length L= 4.53m
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