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15. A piece of wire having a resistance R is cut into five equal parts. (i) How will the resistance of each part of the wire compare with the original resistance? (ii) If the five parts of the wire are placed in parallel, how will the resistance of the combination compare with the resistance of the original wire? What will be ratio of resistance in series to that of parallel?

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(i) The resistance of each part of the wire will be one-fifth of the original resistance. (ii) When the five parts of the wire are placed in parallel, the resistance of the combination will be one-fifth of the original resistance. The ratio of resistance in series to that in parallel is 5:1.
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