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Assuming all bulbs are identical, rank t...

Assuming all bulbs are identical, rank the brightness of the bulbs, from brightest to dimmest.

A

`AgtD = HgtB = CgtE= f = G`

B

`AgtB=CgtD=HgtE = F= G

C

AgtD = HgtE = F = GgtB = C`

D

all have equal brightness.

Text Solution

Verified by Experts

The correct Answer is:
A
a. For the branch containing A, B, and C.
`R_(eq) = (3R)/2`
`Current in A : I_1 = E/R_(eq) = (2E)/(3R)`
Current in each of B and C :
`I'_1 = I_1/2 = E/(3R)`
For the branch containing D, E, F, G, and H:
`R_(eq) = (7R)/3 `
Current through D and H:
`I_2 = E/R_(eq) = (3E)/(7R)`
Current through each of E, F, and G :
`I'_2 = I_2/3 = E/(7R)`
Since `I_1gtI_2gtI_1gtI_2`.
`AgtD = HgtB = CgtE = F= G` .
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