36 cells each of internal resistance 0.5Ω and emf 1.5 V each are used to send current through an external circuit of 2Ω resistor. For getting maximum current, n cells are combined in series in each ro

Question

36 cells each of internal resistance 0.5Ω and emf 1.5 V each are used to send current through an external circuit of 2Ω resistor. For getting maximum current, n cells are combined in series in each row. If total number of such rows are m , then the value of ( n / m ) will be

TestHub · Accepted Answer

Here, E = 1.5 V , r = 0.5Ω , R = 2Ω Total number of cells, mn = 36 … ( i ) For maximum current in the mixed grouping, m n r ​ = R or m n × 0.5 ​ = 2 ....(ii) Multiplying Eqs. (i) and (ii), we get 0.5 n 2 = 72 or n 2 = 144 ∴ ∴ ​ n = 12 and m = 12 36 ​ = 3 m n ​ = 3 12 ​ = 4 ​

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