A copper wire having resistance R is cut into four equal parts. (a) Find the resistance of each part in terms of original resistance of the wire and (b) Find the resistance of the combination if these four parts are connected in parallel.
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The resistance of the wire is R. 1) when it is cut into four equal part, the length of one-fourth of the original length. 2) when the pieces are connected in parallel, Thus equivalent resistance of the parallel combination of the cut part is equal to the one sixteenth of the original resistance.
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