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Q.

Define the term resistivity?

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Detailed Solution

Resistivity is a material’s property that measures how strongly it opposes the flow of electric current.

Resistivity (symbol ρ) is defined as the electrical resistance of a conductor of unit length and unit cross-sectional area. It tells us how much the material resists the flow of electric charge. 

  • Symbol: ρ (Greek rho).
  • Unit (SI): ohm-metre (Ω·m).
  • Formula relation: If a piece of material has length L and cross sectional area A, and has resistance R, then 
    ρ = R · A / L

The resistivity concept allows comparison between materials independent of their shape or size. For example, a high resistivity means the material is a poor conductor (it resists current strongly).

Why it matters:

  • In electrical engineering, when selecting wires or components, lower resistivity materials (e.g., copper) are preferred for conduction.
  • In materials science, resistivity helps classify conductors vs insulators vs semiconductors.
  • Temperature, impurities, and structure affect resistivity. As temperature increases in many metals, resistivity increases.
MaterialResistivity (Ω·m approx.)
Copper~1.68 ×10⁻⁸
Glass (insulator)~10¹⁰ to 10¹⁴
Semiconductor (silicon, doped)varies widely
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