Question

On which factors does the resistance of a conductor depend? Define resistivity and state its SI unit.

Answer 1

Answer:

Resistance of a conductor is a property by thw virtue of which current flow through the conductor is resisted .

It depends on the following factors :

• Resistivity of the material
• Length of conductor
• Area of cross section

Mathematically we can say :

$\boxed{ \red{ \sf{R = \rho \bigg\{ \dfrac{l}{a} \bigg \}}}}$

Resistivity is a materialistic property which is defined as follows :

• It is numerically equal to the resistance for a conductor of unit length and unit cross section area.

SI unit of Resistivity is : ohm - m

Mathematically denoted as :

$\boxed{ \blue{ \bold{ SI \: Unit \implies \Omega \: m}}}$

Answer 2

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Resistance Is directly proportional to length and inversely proportional to cross sectional area.

It Also depends on nature of material.

$</p><p>\tt{\purple{\huge{\boxed{\boxed{Resistivity }}}}}$

Resistivity is a measure of the resistance of a given size of a specific material to electrical conduction.

$\tt{ \green{ \implies{Resistivity \: = \rho \: \dfrac{l}{a} }}}$

$</p><p>\tt{\blue{\implies{S.I \: Unit \: = {\ohm}m }}}$