Question

Find the conductance of a conductor of resistance\[2{\text{ }}mili{\text{ }}ohm\].

Answer 1

Hint: To answer this question we should first write down the definition of conductance. From the definition, we can find out the quantities that conductance develops a relationship with. This will help us to find the unit of conductance, as required for the answer.

Formula used:
Conductance\[\sigma = \dfrac{1}{R}\]
\[R = Resistance = 2{\text{ }}milli{\text{ }}ohm = {\text{ }}0.002{\text{ }}ohm\]

Complete step-by-step solution:
Conductance is defined as the ability of a substance to let the electric current pass through the substance with respect to the applied voltage.
Conductance is often known as the reciprocal of resistance. Conductance is denoted as σ.
The formula of conductance is:
\[\sigma = \dfrac{1}{R}\]
\[ \Rightarrow \sigma = \dfrac{1}{{0.002}} = 500oh{m^{ - 1}}\]
The unit of resistance is the ohm, which we all know.
Now since conductance is the reciprocal of resistance, therefore, the unit of conductance should be reciprocal of the unit of resistance.
So the unit of conductance is \[oh{m^{ - 1}}\] or is also known as per ohm.
Hence, the conductance of a conductor of resistance $2$ milliohm is \[500oh{m^{ - 1}}\].

Note:We have mentioned the term resistance in the answer. For a better understanding, we should know the definition of this term. By resistance, we mean the tendency of a substance to oppose the current flow in an electrical circuit.
About conductance, we should know that since it is the reciprocal of the resistance, the formula can be given as currently divided by voltage.
We should not be confused between resistance and conductance. Resistance gives us an idea about how much the resistor takes into consideration the current flow through it. On the other hand, conductance is the property that tells us how much the resistor allows the current to pass through it.