A copper wire having resistance r is cut into four equal parts. Find: i) the resistance of each part in terms of original resistance of the wire ii) the resistance of the combination if these four parts are connected in parallel.
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Explanation:
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.
Hence, resistance of each part will be R/4
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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