Question

how to prove that unit of resistivity is ohm meter​

Answer 1

Answer:

The SI unit of electrical resistivity is the ohm-meter (Ω⋅m). For example, if a 1 m × 1 m × 1 m solid cube of material has sheet contacts on two opposite faces, and the resistance between these contacts is 1 Ω, then the resistivity of the material is 1 Ω⋅m.

Explanation:

Answer 2

Answer: We can prove this by the formula : R = (p*L)/A

Explanation: If Resistivity of a wire is 'p' and resistance is 'R' and let 'A' be its cross sectional area and 'L' be it's length then ,

R = (p*L)/A  gives,

p = (R*A)/L

Unit of R is 'ohm'

A is 'm*m'

L is 'm'

So unit of p is :

(ohm*m*m)/m = ohm*metre.