Question

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

Answer 1

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

Answer 2

Length of conductor.

Step-by-step 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 :

`V=IR` , R is resistance

`R=(V)/(I)`

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

`R\propto (l)/(A)`

`R=\rho (l)/(A)`

`\rho` is the resistivity of the material

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