Question
What are the units of resistivity ?
✓
Answer
For an electronic conductor of length $I$, and cross section area $a$, the resistance $R$ is represented as
$
R =\rho \times \frac{l}{a}
$
where $\rho$ is the resistivity of the conductor.
$
\therefore \rho= R \times \frac{a}{l}
$
If $I =1 m , a =1 m ^2, \rho= R$
Hence, resistivity is the resistance of a conductor of volume of $1 m^3.$
(In C.G.S. units, the units of ρ are ohm cm. Hence, ρ is the resistance of a conductor of unit volume or $1 cm^3.$)
$
R =\rho \times \frac{l}{a}
$
where $\rho$ is the resistivity of the conductor.
$
\therefore \rho= R \times \frac{a}{l}
$
If $I =1 m , a =1 m ^2, \rho= R$
Hence, resistivity is the resistance of a conductor of volume of $1 m^3.$
(In C.G.S. units, the units of ρ are ohm cm. Hence, ρ is the resistance of a conductor of unit volume or $1 cm^3.$)
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