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Question 31
What is electrical resistivity of a material? What is its unit? Describe an experiment to study the factors on which the resistance of conducting wire depends.


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Solution

Electrical resistivity (also known as resistivity, specific electrical resistance, or volume resistivity) is an intrinsic property that quantifies how strongly a given material opposes the flow of electric current. A low resistivity indicates a material that readily allows the movement of electric charge. Resistivity is commonly represented by the Greek letter ρ (rho). The SI unit of electrical resistivity is the ohm metre (Ω m) although other units like ohm centimetre (Ωcm) are also in use. Many resistors and conductors have a uniform cross section with a uniform flow of electric current and are made of one material. In this case, the electrical resistivity ρ is defined as:
ρ=R Al
where,
R is the electrical resistance of a uniform specimen of the material
l is the length of the piece of material
A is the cross - sectional area of the specimen. If A and l are given values of unity, then p is numerically equal to the resistance of a conductor having unit cross section and unit length. If R is in ohms, A in square centimetres, and l in centimetres, then ρ is in ohm-centimetres.


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