Practice portal › Current Electricity › Cells, EMF and Internal Resistance
Asked in GUJCET 2020 · Combination of cells
Given: ε₁ = 2 V, r₁ = 0.1 Ω; ε₂ = 4 V, r₂ = 0.2 Ω; like terminals joined in parallel.
Idea: for two cells in parallel, ε_eq = (ε₁r₂ + ε₂r₁)/(r₁ + r₂), an average of the emfs with weights r₂ and r₁.
ε_eq = (2×0.2 + 4×0.1)/(0.1 + 0.2) = (0.8)/(0.3).
ε_eq = 2.67 V, which lies between 2 V and 4 V as it must.
So the equivalent emf is 2.67 V.
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