Five identical cells each of internal resistance 1Ω and emf 5 V are connected in series and in parallel with an external resistance R . For what value of R , current in series and parallel combination

Question

Five identical cells each of internal resistance 1Ω and emf 5 V are connected in series and in parallel with an external resistance R . For what value of R , current in series and parallel combination will remain the same?

TestHub · Accepted Answer

i 1 ​ = R + 5 r 5 ϵ ​ ... ( 1 ) I 2 ​ = R + 5 r ​ ϵ ​ ... ( 2 ) From equation ( 1 ) and ( 2 ) i 1 ​ = i 2 ​ R + 5 r 5 ϵ ​ = R + 5 r ​ ϵ ​ ⇒ R = r = 1Ω

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