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Two sources of current of equal emf are connected in series and have different internal resistances R1 and R2 (R2 > R1). Find the external resistance R at which the potential difference across the terminals of one of the sources (which one in particular?) becomes equal to zero?

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Let, us consider the current i, flowing through the circuit, as shown in the figure. Applying loop rule for the circuit, - Δ φ = 0

So, R = R1 - R2, which is the required resistance.

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