Question

A set of n identical resistors each of resistance R ohm when connected in series have effective resistance X ohm and when connected in parallel their effective resistance Y ohm find the relation between R,X and Y

Answer 1

heya dear your answer is here
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equivalent resistance of series X= nR
equivalent resistance of parallel Y=R/n
so X:Y= nR:R/n
so X:Y = n^2

Answer 2

Answer:

R=$\sqrt{XY}$

Explanation:

R1+R2+R3+..........Rn=X

R*n=X  ------1

1/R1+1/R2+1/R3+.....1/Rn=y

n/R=Y  -------2

from 1 and 2,

n=X/R AND N=RY

EQUATING THE 2 EQUATIONS

X/R=R/Y

this implies.

R*R=XY

SO, R=$\sqrt{xy}$