& how is the length or turns calculated to give the required resistance
The useful unit here is
resistivity (greek letter rho), or ohm-metres. Copper has a
resistivity of 1.68e-8 and
nichrome of 1.10e-6 at 20 degrees C.
R = rho * (length L in metres) / (cross-section A in metres^2) This figure however is for a uniform cross-sectional area, and so you will require the wire's in question.
Using a wire with a 0.185mm radius, and the formula
A = pi r2 we find it has a cross-sectional area of
1.075e-7m2Lets say your target is
1 ohm of resistance. To make it simple, we can get ohms per metre length of wire,
R/L = rho/A:
1.68e-8 / 1.075e-7 m^2 = ~ 0.156 ohms per metre
1.10e-6 / 1.075e-7 m^2 = ~10.232 ohms per metreWith these you can easily find the required length:
1 ohm / 0.156 = ~6.31m of this copper wire to get 1 ohm.
1 ohm / 10.232 = ~0.097m, or 9.7cm of this nichrome wire to get 1 ohm.
or turns
I suppose you can translate this in to turns, by wrapping it around an object once and measuring the length to multiply if this is easier.
Above posts mentioned temperature coefficients (
tempcos, they are often called) of which are pretty important in precise resistors, and the linked table in my resistivity figures has a few.
Tiger.