(a) 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. 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 The arrangement of three resistors of 2,3 and 6 which gives a total resistance of 4 can now be represented as follows : Thus, we can obtain a total resistance of 4by connecting parallel combination of 3 and 6 resistors in series with 2 resistor. (b) In order to obtain a total resistance of 1 from three resistors of 2, 3 and 6Q, all the three resistors should be connected in parallel. This is because in parallel combination:

Q. 44.4( 109 Votes )

How can three res

Class 10th NCERT - Science 12. Electricity

Answer :

(a) 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.

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

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

Thus, we can obtain a total resistance of 4by connecting parallel combination of 3 and 6 resistors in series with 2 resistor.

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