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When two resistances R1 and R2 are conn...

When two resistances `R_1 and R_2` are connected in series , they consume 12 W powers . When they are connected in parallel , they consume 50 W powers . What is the ratio of the powers of `R_1 and R_2` ?

A

`1//4`

B

4

C

`3//2`

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
`(P_(1)P_(2))/(P_(1)+P_(2)) = 12 rArr P_(1)P_(2) = 12 xx 50, therefore P_(1) + P_(2) = 50`
`rArr (P_(1)-P_(2))^(2) + 4P_(1)P_(2) = (P_(1) + P_(2))^(2)`
`P_(1) = 30W, P_(2) = 20 W`
`P_(1)/P_(2) = 30/20 = 3/2`
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