contestada

The resistance of a conductor is directly proportional to which of the following quantities? length, cross-sectional area, charge, potential

Respuesta :

The resisyance of a conductor is directly proportional to its length.

Answer:

Length of conductor.                

Explanation:

The devices that resist the flow of electric current are called resistors. When an electric current of 1 ampere flows in a circuit that have potential difference of 1 volt, then 1 ohm of resistance exists in the circuit. Mathematical relationship can be written as :

[tex]V=IR[/tex] , R is resistance

[tex]R=\dfrac{V}{I}[/tex]

Also, the resistance of a conductor is directly proportional to the length and  inversely proportional to the area of cross section of the wire.

[tex]R\propto \dfrac{l}{A}[/tex]

[tex]R=\rho \dfrac{l}{A}[/tex]

[tex]\rho[/tex] is the resistivity of the material

Hence, the resistance of a conductor is directly proportional to the length