find the resistance of a nichrome wire of length 2.2m& diameter 2mm.
I think you need to use the resistivity formula
R=rho(l/A)
R is resistance, rho is resistivity, l is length and A is diameter
Since you are given length and diameter, you know l and can find A which is the cross-sectional area of the wire. For resistivity, you can search up the resistivity of nichrome
To find the resistance of a nichrome wire, you can use the formula:
Resistance (R) = (ρ * L) / A
Where:
- ρ is the resistivity of the material (in this case, nichrome),
- L is the length of the wire,
- A is the cross-sectional area of the wire.
First, let's find the resistivity of nichrome. The resistivity of nichrome is typically given as 1.10 x 10^-6 Ω m.
Next, we need to find the cross-sectional area of the wire. The formula for the area of a circle is:
A = π * r^2
Given the diameter is 2 mm, we can find the radius (r) by dividing the diameter by 2:
r = 2 mm / 2 = 1 mm = 0.001 m
Substituting this radius value into the formula, we can find the cross-sectional area:
A = π * (0.001 m)^2 = π * 0.000001 m^2
Now, we can substitute the values into the resistance formula:
R = (ρ * L) / A
Using the given values:
- ρ = 1.10 x 10^-6 Ω m
- L = 2.2 m
- A = π * 0.000001 m^2
R = (1.10 x 10^-6 Ω m * 2.2 m) / (π * 0.000001 m^2)
Calculating this expression will give you the resistance of the nichrome wire.