Question

Three equal resistances are connected in series then in parallel what will be the ratio of their resistance

Answer 1

In series, resultant resistance = 3r

In parallel, resultant resistance = r/3

ratio = series/parallel
= 3r/(r/3) = 9
ratio = 9:1

Answer 2

Answer:

The ratio is 9:1

Explanation:

let, the resistance be r

when three r resistance are in series

the equivalent resistance = r + r + r = 3r

when three r resistance are in parallel

1/the equivalent resistance = 1/r +1/r+1/r

the equivalent resistance = r/3

now, ratio = series/ parallel

        ratio = 3r*3/r

        ratio = 9/1

so, ratio is 9:1