Consider the circuit in the diagram: two real batteries (of equal Emf, but call them Emf1 and Emf2 for identification purposes) are connected in parallel across a single load resistance RL. But even though their emf’s are the same, their internal resistances are not the same and are r1 and r2. So in this case the current delivered by each battery is not the same. Find the ratio of the current delivered by Emf1, I1 to the total current delivered to RL, that is, find I1/Itotal . Your final answer will be in terms of the two internal resistances only. At the end of the problem, let r2 = 2r1 and find the final answer as a purely numerical fraction. This problem does not have to be algebraically difficult.

Consider the circuit in the diagram: two real batteries (of equal Emf, but call them Emf1 and Emf2 for identification purposes) are connected in parallel across a single load resistance RL. But even though their emf’s are the same, their internal resistances are not the same and are r1 and r2. So in this case the current delivered by each battery is not the same. Find the ratio of the current delivered by Emf1, I1 to the total current delivered to RL, that is, find I1/Itotal . Your final answer will be in terms of the two internal resistances only. At the end of the problem, let r2 = 2r1 and find the final answer as a purely numerical fraction. This problem does not have to be algebraically difficult.

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