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All bulbs consume same power. The resist...

All bulbs consume same power. The resistance of bulb `1` is ` 36 Omega` . Answer the following questions:

What is the voltage output of the battery if the power of ecach bulb is `4 W`?

A

`12 V`

B

`16 V`

C

`24 V`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`i_(2) = i_(3) = I_(b) , V_(1) = (V_(2) + V_(3)) = V , and P_(2) = P_(3)`
or ` R_(2) = R_(3) and V_(2) = V_(3) = V//2`
`P_(1) = P_(2) = P_(3) = P_(4)` (given)
`P_(1) = (V^(2))/(36) , P_(3) = ((V//2)^(2))/(R_(3)`
As `P_(1) = P_(3) , so R_(3) = 9 Omega`
Also `R_(3) = R_(2) = 9 Omega`
`I_(a) = (I)/(3) and I_(4) = I`,
`P_(1) = P_(4) = 4 W`
`((I)/(3))^(2) R_(1) = (I)^(2) R_(4) = 4 W or (R_(1))/(9) = R_(4) or R_(4) = 4 Omega`
Also `I = 1 A , R_(eq) = 16 Omega and I = 1 A , epsilon = 16 V`
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