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Resistance is caused due to the collision of the moving free electrons in a conductor with the fixed positive ions in the metal when a potential difference is applied across the conductor. As the length increases, the number of collisions by the moving free electrons with the fixed positive ions increases as more number of fixed positive ions are present in an increased length of the conductor. As a result, resistance increases. -Sanjay

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15y ago
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11y ago

Ohm law: R = rho * Length / cross section

rho [Ohm m] resistivity (material parameter)

Length [m]

cross section [m^2]

R [Ohm]

It can be shown it comes directly from E = rho J (E: electrical field, J current density), EM fields balance law.

You could imagine electrons and conductors like cars in a highway. the more you travel, the most fuel you will consume.

what made you consume fuel is friction and road slope, that is resistance.

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6y ago

A longer piece of wire has more resistance than a shorter piece of that same wire. A thicker piece of wire will have less resistance than a thin piece of that same wire that is the same length.

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11y ago

The resistance of a piece of wire is directly proportional to its length.

For example, 80-ft of wire has double the resistance of 40-ft of the same material.

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Q: Why the resistance is directly proportion to the lenght of a conductor?
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