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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