Resistivity Formula

The resistivity of a material is defined as the resistance of a conductor of material per unit length and per unit cross-sectional area at a particular temperature.

OR                                                                                                                                                                         

It is the property of a material that demonstrates how strongly the material resists or conducts electric current. It is denoted by ρ which is called rho. The formula for resistivity is given as,

  •  ρ = (RA)/l ⇢ (where ‘R’ is resistance, ‘A’ is the Area of cross section ,’l’ is the length)
  •  ρ = 1/σ ⇢ (σ is the conductivity)

Resistivity Formula

When a potential difference is applied across an object (conductor), the electrons start moving, which produces a current in the object. During this movement of electrons, they collide with other electrons too, which causes some opposition to the flow of electrons, this phenomenon of opposing the flow of electrons is known as Resistance(R). Its SI unit is the ohm(Ω)

Table of Content

  • Factors affecting the resistance
  • Resistivity Formula
  • Derivation of resistivity
  • SI unit of resistivity                 
  • Factors affecting the resistivity
  • Sample problems

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Factors affecting the resistance

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Resistivity Formula

The resistivity of a material is defined as the resistance of a conductor of material per unit length and per unit cross-sectional area at a particular temperature....

Derivation of resistivity

Given: R = ρl/a  Where, R – Resistance,  ρ – Resistivity  l – length of material                                                                                                                                   A – Area of cross-section                                                                                                                           Rearranging the above equation, RA = ρl                                                                                                                                                 ρl = RA                                                                                                                                                        ρ = (RA)/l...

SI unit of resistivity

SI unit of R = ohm SI unit of  A = m2 SI unit of  l = m SI unit of ρ = (ohm × m2)/m ρ = ohm m SI unit of resistivity is ‘ohm meter(Ωm)’...

Factors affecting the resistivity

The resistivity of a conductor is directly proportional to its resistance [ρ ∝ R]. The resistivity of a conductor is directly proportional to its uniform cross-sectional area. [ρ ∝ A] The resistivity of a conductor is inversely proportional to its length. [ρ ∝ 1/l] Resistivity also depends upon the nature of the material and temperature as well....

Sample problems

Question 1: Calculate the resistivity of a wire whose length is 30cm and the area is 0.9 m2. The resistance of that wire is 5Ω?...

Resistivity formula- FAQs

What is the formula of resistance?...