Resistivity Formula

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

 Resistivity Formula

Where ρ is the resistivity, R is the resistance, l is the length of the material and A is the area of cross-section.

Resistivity Solved Examples

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

Given

R = 2Ω

l = 15cm = 0.15m

A = 25cm2 = 0.25m2

Resistivity formula is

 Resistivity Formula

 Resistivity Related Solved Example

Problem 2: The length and area of wire are given as 0.2m and 0.5m2 respectively. The resistance of that wire is 3Ω, Calculate the resistivity?
Answer:

Given

R = 3Ω

l = 0.2m and

A = 0.5m2

Resistivity formula is

Resistivity Formula

 Resistivity Related Solved Example

 

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