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If the cross-sectional area of a conductor is doubled, other factors remaining the same, the resistivity of the conductor will be:
Question

If the cross-sectional area of a conductor is doubled, other factors remaining the same, the resistivity of the conductor will be:

A.

same

B.

one fourth

C.

halved

D.

doubled

Correct option is A

The correct answer is: (A) same
Explanation:
The resistivity of a conductor is a material property that depends only on the type of material and temperature, not on its shape or size.
Therefore, if the cross-sectional area of the conductor is doubled while keeping other factors constant (such as the material and temperature), the resistivity of the conductor remains unchanged.
Information Booster:
  1. Resistivity (denoted by ρ) is a material property that measures how strongly a material opposes the flow of electric current.

  2. The formula for resistance R=ρLAR = \rho \frac{L}{A} shows that while the cross-sectional area AA affects the resistance, the resistivity ρ\rhoρ remains constant for a given material.

  3. Resistivity only changes if the material itself changes or if there is a significant change in temperature.

  4. Resistivity is measured in ohm meters (Ω·m), and it helps in determining how easily current can flow through a given material.

  5. Example: Copper, having low resistivity, allows easy current flow, while rubber, with high resistivity, resists current flow.​

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