Calculate the value of the ratio i₁/i₂ for the circuits shown in the figure, provided that the external resistance is R = 10 .

Step-by-step solution

For the first circuit, the two cells are connected in series such that they aid each other. The equivalent EMF and internal resistance are: E_ eq1 = E₁ + E₂ = 6 + 6 = 12 V r_ eq1 = r₁ + r₂ = 1 + 1 = 2 The current i₁ in the circuit is: i₁ = E_ eq1 R + r_ eq1 = 12 0.1 + 2 = 12 2.1 = 40 7 A For the second circuit, the two identical cells are connected in parallel. The equivalent EMF and internal resistance are: E_ eq2 = E = 6 V r_ eq2 = r₁ r₂ r₁ + r₂ = 1 1 1 + 1 = 0.5 The current i₂ in the circuit is: i₂ = E_ eq2 R +