Question

a) (i)Suggest how would combine a set of three resistors to obtain minimum current in a circuit?
(ii)Also find the expression for the total resistance of this combination.
b) Show how can you obtain a total resistance of 6 ohm with three identical resistors of
4 ohm each.

Answer 1

Answer:

Min current means maximum resistance

So to get max resistance they should be connected in series since in series equalent resistance will be greater that greatest individual resistance

R=r1+r2+r3

Explanation:to get equalent resistance 6 ohm using 4 ohm resistor

Connect 2 4ohm resistor in parallel

Here 1/r =1/4+1/4=2ohm

This is connected in series with other 4ohm so R=2+4

So to get 6ohm as equalent resistance 2 resistor should be in parallel and 1 should be in series

Hope it is useful for you