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What happens to the resistance of a conductor if its length is doubled?
Doubles
Halves
Remains same
Becomes four times
Doubles
The resistance of a uniform conductor is directly proportional to its length. When the length of the conductor is doubled, the path for electron flow becomes twice as long, leading to twice as many collisions and a doubled total resistance.
The resistance of a uniform conductor is directly proportional to its length. When the length of the conductor is doubled, the path for electron flow becomes twice as long, leading to twice as many collisions and a doubled total resistance.
Think of electrical resistance like friction in a water hose: a hose that is twice as long offers twice as much resistance to water flow compared to a shorter hose.
Longer length, higher resistance (direct proportionality).
R=╧БAlтАЛ тАФ electrical resistance of a conductor
RтИЭl тАФ resistance is directly proportional to length
According to the laws of electrical resistance, resistance is expressed by the formula R=╧БAlтАЛ, where ╧Б is resistivity, l is length, and A is the cross-sectional area. Since the material properties and cross-sectional area remain constant, resistance varies directly with length (RтИЭl), meaning any increase in length causes a proportional increase in resistance.
Resistance is directly proportional to length (l).
Resistance is inversely proportional to cross-sectional area (A).
Resistivity (╧Б)depends only on the nature of the material and temperature, not its dimensions.
Electrical wiring and power transmission
Selecting appropriate wire lengths to control voltage drop
Resistivity (╧Б) remains unaffected by changes in the physical dimensions of the conductor.
Option B (Halves) is incorrect because resistance increases, not decreases, with length.
A is correct тАФ The resistance of a conductor doubles when its length is doubled because resistance is directly proportional to length.
Be careful with problems involving stretched wires where volume remains constant, as stretching a wire increases its length while simultaneously decreasing its cross-sectional area.
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