Grouping of Cells
( i) In Series If n cells, each of emf E and internal resistance r are connected in series to a resistance R. then equivalent emf
Eeq = E1 + E2 + …. + En = nE
Equivalent internal resistance req = r1 + r2 + …. + rn = nr Current In the circuit I = Eeq /( R + req) = nE /( R + nr)
( ii) In Parallel If n cells. each of emf E and internal resistance r are connected to in parallel. then equivalent emf. Eeq = E
Equivalent internal resistance
1 / req = 1 / r1 + 1 / r1 + … + 1 / rn = n / r or req = r / n Current In the circuit I = E /( R + r / n)
( iii) Mixed Grouping of Cells If n cells, each of emf E and internal resistance r are connected in series and such m rows are connected in parallel, then
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