1.

Find the total resistance of parallel connection of series resistors.

Answer»

Solution :(i) A connection of a SET of series resistors connected in a parallel circuit, is a parallel -series circuit.
(ii) Let `R_(1)` and `R_(2)` be connected in series to GIVE an effective resistance of `R_(S1)`.
(iii) Similarly, let `R_(3)` and `R_(4)` be connected in series to give an effective resistance of `R_(S2)`.
(iv) Then ,both of these serial segments are connected in parallel (Figure).

Using the equation `R_(s) = R_(1) +R_(2)`
`R_(s1) = R_(1) +R_(2)`
`R_(s2) = R_(3) +R_(4)`
FINALLY , using equation `((1)/(R_(p)) = (1)/(R_(1)) +(1)/(R_(2)))` , the net effective resistance is given by
`(1)/(R_("total")) = (1)/(R_(s1)) +(1)/(R_(s2))`


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