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A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel. What is the resistance of the combination?

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A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel. What is the resistance of the combination?

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Resistance of each part is R/2.

Resultant resistance R’ is given by

1/R’ = 2/R + 2/R

R’ = R/4.

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