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An equiring physics student connects a c...

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 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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