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There are a large number of cells available, each marked \( (6 V, 0.5 \Omega) \) to be used to supply current to a device of resistance \( 0.75 \Omega, \) requiring \( 24 A \) current. How should the cells be arranged, so that power is transmitted to the load using minimum number of cells?

1. Six rows, each containing four cells
2. Four rows, each containing six cells
3. Four rows, each containing four cells
4. Six rows, each containing Six cells

Correct answer: Six rows, each containing four cells

Solution

The load needs 24 A through 0.75 Ω, so it must receive 18 V. Each cell is 6 V with 0.5 Ω internal resistance, so 3 cells in series give 18 V per string; then the current requirement is met by putting enough such strings in parallel. The minimum-cell arrangement that satisfies both voltage and current is 6 parallel rows of 4 cells in series, totaling 24 cells.

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