Question

what is the value of minimum resistance that we get from the combination of two resistors of 6 ohms and 12 ohms each ?​

Answer 1

We are given two resistors of 6Ω and 12Ω each and we are asked to find the minimum resistance from its combination.

Combining the resistors is series connection, the total resistance would be;

R₁+R₂

⇒6+12

⇒18Ω

Now the total resistance when the resistors are combined in parallel connection would be;

1/R₁+1/R₂

⇒1/6+1/12

⇒3/12

⇒4Ω

As we can see from above, the resistance is minimum when connected in parallel connection.