A piece of wire of resistance R is cut into 'n' equal parts. These parts are then connected in parallel. If the equivalent resistance of parallel combination is R' , then (R/ R') will be how much?
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1/R' = n/R + n/R + ... (n terms)
= n. n/R
= n2/R
R' = R/n2.
R/R' = n2.
= n. n/R
= n2/R
R' = R/n2.
R/R' = n2.
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