Advertisement Remove all ads

Find the Expression for the Resistivity of a Material and State the Si Unit of Resistivity. - Science and Technology 1

Find the expression for the resistivity of a material and state the SI unit of resistivity.

Advertisement Remove all ads

Solution

The resistance of a conductor is directly proportional to its length l and inversely proportional to its area of cross-section A.

`R prop l` and `R prop 1/A`

`:. R prop l/A`

`:. R = rho 1/A`

where ρ is the proportionality constant and is called the resistivity of the material of the conductor.

Rearranging the above equation,

`rho = "RA"/l`

This is the expression for resistivity.

The SI unit of resistivity is ohm-meter (Ω.m).

Concept: Ohm’s Law
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×