Calculate the resistance of a 5 m Constantine wire of cross-sectional area of 3.5π x 10^-8 m^2 and resistivity of 1.1 x 10^-6 Ωm

Sure, to calculate the resistance of the wire, we can use the formula for resistance which is:

R = ρL/A

where: R is the resistance, ρ (rho) is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.

Given: ρ = 1.1 x 10^-6 Ωm, L = 5 m, and A = 3.5π x 10^-8 m^2.

Substituting these values into the formula, we get:

R = (1.1 x 10^-6 Ωm * 5 m) / (3.5π x 10^-8 m^2)

Now, calculate the numerator and the denominator separately:

Numerator = 1.1 x 10^-6 Ωm * 5 m = 5.5 x 10^-6 Ω Denominator = 3.5π x 10^-8 m^2 ≈ 1.1 x 10^-7 m^2

Then, divide the numerator by the denominator:

R = 5.5 x 10^-6 Ω / 1.1 x 10^-7 m^2 = 50 Ω

So, the resistance of the wire is approximately 50 Ohms.