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)

Step-by-step solution

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