Six similar bulbs are connected as shown in the figure with a DC source of emf E, and zero internal resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be : [figure]
- 4 : 9
- 9 : 4
- 1 : 2
- 2 : 1
Answer
(2) 9 : 4
Solution
Let the resistance of each bulb be R. In each section the bulbs are in parallel, and sections A and B are in series.
(i) All glowing: R1 = R3 + R3 = 2R3
(ii) Two in A, one in B: R2 = R2 + R = 3R2
With the same emf, P = E2 Req
P1P2 = R2R1
= 3R/22R/3
= 94
Ratio = 9 : 4
Answer: (2)