Question

What is the relationship between resistance and conductance?

Answer 1

Hint: Resistance is the ability of any substance or solution to resist the flow of current through it while conductance is the ability of a conductor or solution to conduct current through it.

Complete step by step solution:
-The electrical potential difference divided by the amount of current passing through the conducting solution is known as electrical resistance (R).
For a conductor with cross sectional area ‘A’ and length ‘L’, having resistivity ‘$\rho $’, resistance is written as:
                                                      $R = \rho L/A$
The SI unit of resistance is ohm, which is denoted by: $\Omega $.
 -The ease with which electric current flows through a conductor or the ability of the conductor to conduct electricity is known as electrical conductance (G).
The SI unit of conductance is Siemens (S) or mho (${\Omega ^{ - 1}}$).
 -As we can see from the above discussion we can see that conductance is the opposite of resistance.
So, we can say that conductance is the reciprocal of resistance. It can be written as: $G = 1/R$
                                                       $G = A/\rho L$
-We can also say that for a conductor with resistance 1$\Omega $, the conductance is 1S.

This is the relationship between resistance and conductance.


Note: Conductance and resistance should not be confused with each other since both are totally opposite things. Conductance is the ease with which current can flow through the conductor while resistance is its ability to oppose the current flow and not the other way round.