`G_(1), G_(2), G_(3)` are the conductances of three conductors. What will be their equivalent conductance when they are connected, (i) in series (ii) in parallel.

`G_(1), G_(2), G_(3)` are the conductances of three conductors. What w

1.	`G_(1), G_(2), G_(3)` are the conductances of three conductors. What will be their equivalent conductance when they are connected, (i) in series (ii) in parallel.
Answer» Conductance is reciprocal of resistance, so `R_(1)=1/G_(1), R_(2)1/G_(2), R_(3) = 1/G_(3)` When conductors are in series, then `R= R_(1) +R_(2)+R_(3)` `:. 1/G = 1/G_(1) +1/G_(2) +1/G_(3)= (G_(2)G_(3) +G_(1)G_(3) +G_(1)G_(2))/(G_(1)G_(2)G_(3))` or `G = (G_(1)G_(2)G_(3))/(G_(2)G_(3) +G_(1)G_(3) +G_(1)G_(2))` When conductors are in parallel, then `1/R = 1/R_(1) +1/R_(2) +1/R_(3) :. G = G_(1) ++ G_(2) + G_(3)`

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