Resistivity Formula

Simply resistivity or Electrical resistivity is the opposition of the flow of current from one end to the other in a material. Electrical resistivity is a simply accessible and informative quantity used to describe the material. It is the reciprocal of electrical conductivity. ρ denotes resistivity. It is directly proportional to the material resistance and length. The resistivity is inversely proportional to the area of cross-section of the given material.

Definition:

Resistivity (ρ) is that property of material which calculates how strongly a particular material resists the flow of electric current. It depends on the nature of the material and on its temperature.

Formula For Resistivity

The formula is given by,

  Where,

• ρ = resistivity

• R is resistance

•  l is the length of the material 

•  A is the area of cross-section.

Resistivity Solved Problems

Problem 1: Calculate the resistivity of the given material whose resistance is 2 Ω; area of cross-section and length are 25cm2 and 15 cm respectively?

Answer:

Given: R = 2 Ω

            l = 15 cm = 0.15 m

           A = 25 cm2 = 0.25 m2

   Resistivity formula is,

     

Problem 2: The length and area of the wire are given as 0.2 m and 0.3 m2 respectively. The resistance of that wire is 3 Ω, calculate the resistivity?

Answer: R = 3 Ω

                l = 0.4 m and

               A = 0.3 m2

The Resistivity formula is

 

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