Question

'n' equal resistors are first connected in series and then parallel. the ratio of the maximum to the minimum resistance is

Answer 1

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n equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance?


        (a)    n     


(b)    1/n2


        (c)    n2


        (d)    1/n


4 years ago

Answers : (2)



4 years ago

IF n EQUAL RESISTORS OF RESISTANCE ''R'' ARE CONNECTED IN SERIES THEN THE EQUIVALENT RESISTANCE = nR
SIMILARLY IF n EQUAL RESISTORS OF RESISTANCE ''R'' ARE CONNECTED IN PARALLEL THEN THE EQUIVALENT RESISTANCE =R/n
THEREFORE MAXIMUM RESUSTANCE IS nR
AND MINIMUM RESISTANCE IS R/n
THEREFORE THE RATIO IS nR/(R/n)= n2

Answer 2

when resistors are connected in series then equivalent resistance is n^2
when they are connected in parallel equivalent resistance is1
then their ratio will be n^2:1 or just n^2