Question

Two resistors or resistance 2ohms and 4 ohms are connected in series and then in

parallel what is the ratio of their
respective resistance​

Answer 1

Ratio = 9 : 2

Step-by-step explanation:

We have been given two resistors, one with 2ohms rating and another with 4 ohms rating.

First they are connected in series. When resistors are connected into series, Equivalent resistance is given by:

Resistance (Equivalent) = R₁ + R₂ = 6 ohms

When these are connected in parallel, equivalent resistance becomes:

1 / Resistance (Equivalent) = 1/R₁ + 1/R₂ = 1/2 + 1/4

1 / Resistance (Equivalent) = 3/4

Resistance (Equivalent) = 4/3

Ratio = R(Series)/ R(Parallel)

Ratio = 6 : 4/3

Ratio = 18 : 4

Ratio = 9:2