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Secondary Scien, , , , 80, , mbination of Resistances ’ |, Mieataet Ee more resistances are connected in such a way that the first end of ,, , i is conne, resistances are connected to first common point and second end is connected toa «,, , common point so that the same, potential difference is applied, across each of them, they are, said to be connected in parallel., The current enters the first end, and leaves at the second end., , , , , In parallel arrangement there, is more than one path for the, current to flow between the, points X and Y. The current, takes the three possible paths, say 1, I,, and I, across R,, R,, and R, respectively. (Fig. 3.5), , |., (a) (b) ~*, , Fig. 3.5: Resistances connected in parallel, , , , , attery, , , , Law of Combination of Resistances in Parallel, , In parallel combination (Fig. 3.6) of three resistors Ry,, R, and R,, a battery of V volts is connected across them, such that potential difference across each resistor is V, volts which is equal to the potential of the battery. If I, I, and I, are values of the current through each resistance, R,, R, and R, of the parallel combination respectively,, then current in the main circuit is given by:, , T=h+h+1,, The potential difference across each resistor is V, , , , Therefore, on applying Ohm’s law, we get, , Taoice, , i], aS PIS 2s, , 3 eee, , Adding equations (ii), (iii) anq (10), we get, , URIS ie, «is,