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Conductivity is ______________.*directly proportional to areadirectly proportional length and areainversely proportional to length and areainversely proportional to area

Question

Conductivity is ______________.*directly proportional to areadirectly proportional length and areainversely proportional to length and areainversely proportional to area

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Solution

Conductivity is inversely proportional to length and directly proportional to area.

Here's why:

  1. Conductivity is a measure of a material's ability to conduct electric current. It is determined by the number of charge carriers (usually electrons) available in the material and their mobility.

  2. The length of the material affects conductivity because the longer the path through which the current has to travel, the more resistance it encounters. Therefore, conductivity is inversely proportional to length - as length increases, conductivity decreases.

  3. The area of the material affects conductivity because a larger cross-sectional area allows more paths for the current to travel through, reducing resistance. Therefore, conductivity is directly proportional to area - as area increases, conductivity increases.

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