Question

A piece of wire has a resistance R. It is cut into two pieces of equal...

A piece of wire has a resistance R. It is cut into two pieces of equal length, and the pieces are twisted together parallel to each other.

Part A What is the ratio of the resistance of the resulting wire to R?

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Answer #1

the resistance of the resulting wire =   (R/2 * R/2)/(R/2 + R/2)

                                                        = R/4

=> the ratio of the resistance of the resulting wire to R = (R/4)/R

                                                                                          = 1/4

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