why resistance is directly proportional to length
Resistance of a conductor is directly proportional to the length of the wire i.e., longer the wire greater will be the resistance and shorter the wire smaller will be the resistance. If L represents the length of the uniform wire, then
It can easily be perceived that longer is the material, greater is its resistance. Similarly with greater area of cross section, the electric current flows with lower restriction, that is, lower resistance.
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As the length of the wire increases, the electrons in the wire have to travel more distance. During the journey, they collide with the atoms in the material of the wire. These collisions give rise to the resistance of the wire. As the number of collisions increase with increase in length, the resistance also increases.
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