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Which of the following factors directly affects the resistance of a conductor?
Length of the conductor
Power of the conductor
Voltage across the conductor
Current through the conductor
Length of the conductor
The electrical resistance of a metallic conductor is directly proportional to its length (L) and inversely proportional to its cross-sectional area (A). Therefore, if all other factors like material and temperature remain constant, changing the length of the conductor will directly alter its resistance.
The electrical resistance of a metallic conductor is directly proportional to its length (L) and inversely proportional to its cross-sectional area (A). Therefore, if all other factors like material and temperature remain constant, changing the length of the conductor will directly alter its resistance.
Think of a conductor like a long hallway; the longer the hallway is, the more difficult it is for people to walk through it without bumping into walls, similar to how longer wires impede the flow of electrons.
R=╧БALтАЛ тАФ Ohm's Law derivation for resistance where ╧Б is resistivity, L is length, and A is area.
RsтАЛ=R1тАЛ+R2тАЛ тАФ Resistance in series (cumulative length effect).
According to the laws of electrical resistance, R=╧БALтАЛ. As electrons flow through a conductor, they collide with atoms; a longer conductor provides a longer path, increasing the number of collisions and thus increasing total resistance. Resistance is an inherent property determined by the geometry and material of the conductor, not by the external voltage or current applied.
Resistance is directly proportional to length: RтИЭL.
Resistance is inversely proportional to cross-sectional area: RтИЭA1тАЛ.
Resistivity (╧Б) depends only on the material and temperature.
Voltage and Current are variables defined by Ohm's Law (V=IR), not factors that determine the conductor's physical resistance.
Rheostats (variable resistors) used to control current.
Heating elements in appliances like toasters.
Option B (Power), C (Voltage), and D (Current) describe the electrical behavior or output of a circuit, but they do not define the inherent resistance of the conductor itself.
Resistance is an intrinsic property; it exists even when no current is flowing.
A is correct тАФ The resistance of a conductor is physically determined by its dimensions (length and area) and material, not by the electrical parameters of the circuit.
Always remember that resistance is a 'passive' physical property (like weight or length), whereas voltage and current are 'active' circuit variables. Physical dimensions change resistance; changing the current does not change the conductor's resistance.