Question

The resistance of a wire of length 2m andarea of cross-section 0.5 mm^2 is 2.2 ohm.Calculate the specific resistance of thematerial of the wire.​

Answer 1

Hi,

Here is your answer

Given:

Resistance(R)=2.2Ω

Length(l)=2m

Area of cross section(A)=0.5mm²=5×10⁻⁷m²

To Find:

Specific resistance(ρ)

Solution:

Specific resistance is given by the equation

ρ=R×A/l

ρ=2.2×5×10⁻⁷/2

ρ=5.5×10⁻⁷Ωm

Notes:

1. Remember to convert all the given datas to the SI units before calculating.

2. The equation for finding resistivity is given by

ρ=R×A/l. It's unit is Ωm

Hope this helps you.