Question

You are given three resistors each of 3 ohms and you are asked to get all possible values of resistance when you connect them in different combinations. How many values of resistance can you get?​

Answer 1

When three are connected in parallel:

Equivalent resistance = 1/3+1/3+1/3 = 1 ohm

When three are connected in series:

Equivalent resistance = 3 + 3 + 3 = 9 ohms

When two are connected in series and the other one in parallel

resistance in series = 3 + 3 = 6

Equivalent resistance = (3*6)/(3+6) = 2 ohms

When two in parallel and the other one in series

Resistance in parallel = (3*3)/(3+3) = 3/2 ohms

Equivalent resistance = 3/2 + 3 = 9/2 ohms

So, we can get four possible values of resistance by using three resistors.

Your answer is 4.

Hope I am correct

Answer 2

Explanation:

Three resistors - 3 ohm each

1. In series combination

R(series) - 3 +3+3= 9 ohm

2. In parallel combimation

1/R(parallel) - 1/3+ 1/3 + 1/3 = 1 ohm

3. series and parallel combination (two resistor in series and one in ll)

R(series)- 3+3= 6

R(ll) - 1/6+1/3= 1/2 = 2