when n wires which are identical are connected in series the effective resistance exceeds that when they are in parallel by X / Y ohm then the resistance of each wire is
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Let the resistance of each wire is R
n identical wires of resistance R is connected in series combination,
so, Req = R + R + R + R + .... n times
Req = nR
Similarly, n same identical wires of resistance R is connected in parallel combination,
so, 1/Req' = 1/R + 1/R + 1/R + 1/R ..... n times
Req' = R/n
Given, Equivalent resistance in series - equivalent resistance in parallel = X/Y ohm
so, nR - R/n = X/Y
⇒R(n² - 1)/n = X/Y
R = nX/(n² - 1)Y ohms
n identical wires of resistance R is connected in series combination,
so, Req = R + R + R + R + .... n times
Req = nR
Similarly, n same identical wires of resistance R is connected in parallel combination,
so, 1/Req' = 1/R + 1/R + 1/R + 1/R ..... n times
Req' = R/n
Given, Equivalent resistance in series - equivalent resistance in parallel = X/Y ohm
so, nR - R/n = X/Y
⇒R(n² - 1)/n = X/Y
R = nX/(n² - 1)Y ohms
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