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Figure shows three resistor configuratio...

Figure shows three resistor configurations `R_(1),R_(2)` and `R_(3)` connected to `3V` battery. If the power dissipated by the configurations `R_(1),R_(2)` and `R_(3)` is `P_(1),P_(2)` and `P_(3)` respectively, then

A

`P_(1)gtP_(2)gtP_(3)`

B

`P_(1)gtP_(3)gtP_(2)`

C

`P_(2)gtP_(1)gtP_(3)`

D

`P_(3)gtP_(2)gtP_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P_(1)=(V^(2))/(R_(1))impliesP_(1)=((3)^(2))/1impliesP_(1)=9 W`
`P_(2)=(V^(2))/(R_(2))impliesP_(2)=((3)^(2))/((1//2))impliesP_(2)=18 W`
`P_(3)=(V^(2))/(R_(3))impliesP_(3)=((3)^(2))/2impliesP_(3)=9/2 W`
So `P_(2)gtP_(1)gtP_(3)`
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