12 cells, each having the same emf are connected in series and are kept in a closed box. Some of the cells are wrongly connected. This arrangement is connected in series with an ammeter and two identical cells. The current is 3 A when cells and battery aid each other and 2 A when the cells and battery oppose each other. The number of cells wrongly connected is
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If n cell is wrongly connected, then net emf of battery
Case 1: When cell and battery add each other
… (i)
Case 2: When cell and battery oppose each other
… (ii)
From Eqs. (i) and (ii),




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