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When n cells are joined in parallel comb...

When n cells are joined in parallel combination as shown, the strength of the current `i` is given by

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An equiring physics student connects a cell to a circuit and measures the current drawn from the cell to I_1 . When he joins a second identical cell is series with the first, the current becomes I_2 . When the cells are connected in parallel, the current through the circuit is I_2 . When the cells are connected are in parallel, the current through the circuit is I_3 . Show that relation between the current is 3I_3 I_2 =2I_1(I_2 + I_3).

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