Calculate G_eq in the following circuit:

    

Concept:

• Conductance is the measure of how easily electricity flows along a certain path through an electrical element. Represented with letter G.
• Conductance is the reciprocal of the Resistance and is measured in Siemens or mhos.

Equivalent Conductance in Series connection is represented as,

\({G_{eq}} = \frac{{{G_1}{G_2}}}{{{G_!} + {G_2}}}\)

Equivalent Conductance in parallel connection is represented as,

G_eq = G₁ + G₂

Calculation:

In the given figure,

6 S, 12 S are in series apply series combination formula

4 S, 8 S are in parallel apply parallel combination formula

Circuit reduces to,

Then 2 S and 4 S are in parallel add them,

Then, \({G_{eq}} = \frac{{12 \times 6}}{{12 + 6}}\; = 4\;S\)