The equivalent resistance of series combination of two resistors is $s .$ When they are connected in parallel, the equivalent resistance is $p .$ If $s = n p,$ then the minimum value for $n$ is ______.
(Round off to the Nearest Integer)

Question

The equivalent resistance of series combination of two resistors is $s .$ When they are connected in parallel, the equivalent resistance is $p .$ If $s = n p,$ then the minimum value for $n$ is ______.

(Round off to the Nearest Integer)

TestHub · Accepted Answer

R 1 + R 2 = s … 1 R 1 R 2 R 1 + R 2 = p … 2 R 1 R 2 = s p R 1 R 2 = n p 2 R 1 + R 2 = n R 1 R 2 R 1 + R 2 R 1 + R 2 2 R 1 R 2 = n for minimum value of n R 1 = R 2 = R ∴ n = ( 2 R ) 2 R 2 = 4

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