Question

Derive the expression for conductivity in terms of resistivity using ohms law

Answer 1

1
$1 \div resistivity = conductivity$

Answer 2

Conductivity is inversely proportional to Resistivity.

Explanation :

• Conductivity is the ease with which charges vibrate in a conductor that allows forward flow of current more easily.
• On the other hand, resistivity retards the flow of charges.

Ohm's law states that potential difference across a conductor is directly proportional to  the current flowing through it, given the temperature remains the same.

                                          V ∝ I ; or

                                         V = IR

We also know,

R = ρ$\frac{l}{A}$

Substituting, we get

$\frac{V}{I} =$ ρ$\frac{l}{A}$

According to the definition of conductivity ( σ ), more the conductivity, better is the flow of charges or current in the conductor.

Hence , I ∝ σ

therefore, we get

σ ∝ 1/ρ

Hence, conductivity (σ) is inversely proportional to resistivity (ρ).