Conductance is expressed in terms of

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$\mho$

Explanation: Conductance, denoted by $G$, is defined as the reciprocal of electrical resistance $R$. It represents the ease with which electric current flows through a conductor and is measured in Siemens ($\mho$).

Working Principle: In a linear circuit, Ohm's Law states $V = IR$. Rearranging this gives $I = V \times (1/R)$. We define Conductance $G$ as $G = \frac{1}{R}$. Therefore, $I = GV$. The unit is the Siemens ($S$), formerly known as the Mho ($\mho$).

Key Formulas: $G = \frac{1}{R}$ — Conductance as reciprocal of resistance; $G = \frac{I}{V}$ — Conductance in terms of current and voltage

Key Points: Conductance is the measure of the ability of a material to conduct electric current.; The SI unit of conductance is Siemens ($S$).; It is a scalar quantity.; Conductance is the reciprocal of resistance ($\Omega^{-1}$).

Advantages: Simplifies parallel circuit analysis using $G_{total} = G_1 + G_2 + ... + G_n$.; Useful in nodal analysis (KCL).

Disadvantages: Not intuitive for series circuit calculations compared to resistance.; Rarely used in power systems compared to resistance/impedance.

Applications: Nodal voltage analysis in circuit theory.; Measuring the quality of electrical insulation (inverse of conductance).; Electrolytic solutions analysis.

Additional Info: The term 'Mho' is 'Ohm' spelled backwards.. Option C ($\mho/m$) refers to conductivity ($\sigma$), not conductance.. Conductivity is the material property, while conductance is the circuit element property.

Answer: D is correct — Conductance is the reciprocal of resistance and is measured in Mho ($\mho$) or Siemens (S).

Exam Tip: Always distinguish between Conductance ($G$, units in $\mho$) and Conductivity ($\sigma$, units in $\mho/m$ or $S/m$). Conductivity is a material property; conductance depends on geometry and material.

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