Question

You are given three resistors of 2 ohms, 4 ohms, and 6 ohms. With the help of these resistors, how can you get a resultant resistance of (i) 12 ohms, and (ii) 3 ohms?
​Draw diagrams to illustrate your answer.

Answer 1

(i) To obtain a resultant resistance of 12-ohms, we can directly connect all the resistances in series. The net resistance of the series combination is simply the sum of all the resistances. Which is, in this case, would be 12-ohms.



(ii) To get a resultant resistance of 3-ohms, we can connect 2-ohm and 4-ohm resistors in series and then we can connect that series combination in parallel with 6-ohm resistor. By doing this, we can get a total of 3-ohm resistance, because the net resistance in series would be 6-ohms and then net resistance of the parallel combination of two 6-ohm resistors would be 3-ohms.