A battery of 24 cells, each of emf 1.5 V and internal resistance 2 Ω Ω is to be connected in order to send the maximum current through a 12 Ω Ω resistor. The correct arrangement of cells will be
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Suppose m rows are connected in parallel and each row contains n identical cells (each cell having E = 15 V and r = 2 Ω Ω )
For maximum current in the external resistance R, the necessary condition is 
⇒ ⇒ 
⇒ ⇒ n = 6m ..... (i)
Total cells = 24 = n × × m ..... (ii)
On solving equations (i) and (ii) n = 12 and m = 2
i.e. 2 rows of 12 cells are connected in parallel.
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