. How can three resistors of resistances


2 ohm, 3 ohm, and 6 ohm be connected to give a total resistance of

(a) 4 ohm, and

(b) 1 ohm?

 

Best Answer

Sol. In order to obtain a total resistance of 4  from three resistors of 2 ,3  and 6 .

Firstly, connect the two resistors of 3  and 6 in parallel to get a total resistance of 2 which is less than the lowest individual resistance.

three resistor

(ii) Then the net R from parallel connection is connected in series with the remaining 2 Q resistor to get a total resistance of 4 Q. This is because in series combination:

R = R1+ R2

R = 2 + 2

R =4 ohm

The arrangement of three resistors of 2,3 and 6 which gives a total resistance of 4 ohm can now be represented as follows :

resistor

(b) In order to obtain a total resistance of 1 ohm from three resistors of 2 ohm, 3 ohm and 6ohm, all the three resistors should be connected in parallel. This is because in parallel combination:

three resistor

 

 

 

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