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If electrical circuits are hooked up in parallel, the reciprocal of the total resistance in the series is found by adding the reciprocals of each resistance as shown inn the diagram above. In a certain circuits, `R_(2)` exceeds the resistance of `R_(1)` by 2 ohms, and the total resistance, `R_(1)`, is 1.5 ohms. Which expression represents the number of ohms in `R_(1)`?

A

`sqrt(13)-1`

B

`sqrt(11)-1`

C

`(1+sqrt(11))/(2)`

D

`(1+sqrt(13))/(2)`

Text Solution

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The correct Answer is:
D
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