1. A wire of resistance R is cut into three equal parts. (i) Find the value of resistance of each part in terms of the original resistance R ? (ii) If these three pieces are connected in parallel, what is the ratio of the equivalent resistance so obtained with the original resistance?
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When a wire of resistance R is cut in 3 pieces, each piece will have R/3 resistance. When we connect all those pieces in parallel, the total resistance will be R/9. The result is 1/9 of the initial value. Each 1/3 of wire will have 1/3 of the initial resistance.
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