Question

List the factors on which the resistance of a cylindrical conductor depends and hence write an expression for its resistance ​

Answer 1

Answer:

resistance depends on length of cylindrical conductor, area of cross section, material of the conductor.

r=p×l/a

where r = resistance, p=resistivity or material of conductor, l=length, a=area of cross section

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Answer 2

The resistance of the conductor is $\bf R=\rho*\frac{l}{\pi r^2}$ and it depends on the length and the radius of the cylinder along with the resistivity of the material.

The formula of resistance is given as

$R=\rho* \frac{L}{A}$

Where $\rho$ is the resistivity.

L is the length of the conductor.

A is the cross-section area of the conductor.

Hence for a cylinder of radius r and length l.

L=l

$A=\pi r^2$

Therefore

$R=\rho*\frac{l}{\pi r^2}$

The resistance of the conductor is given as $\bf R=\rho*\frac{l}{\pi r^2}$.

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