Question

An enquiring physics student connects a cell to a circuit and measures the current drawn from the cell to I₁ . When he joins a second identical cell is series with the first, the current be comes I₂ . When the cells are connected are in parallel, the current through the circuit is I₃ . Show that relation between the current is 3 I₃ I₂ = 2I 1 (I₂ + I₃ )

Answer 1

Let the equivalent resistance of circuit is R. The emf and internal resistance of cell is E and r respectively.

Hence, L.H.S. = R.H.S.