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When two resistances R(1)andR(2) are c...

When two resistances `R_(1)andR_(2)` are connected in series , they consume 12 W power . When they are connected in parallel , they consume 50 W power . What the ratio of the powers of `R_(1)andR_(2)` ?

A

a)`1/4`

B

b)4

C

c)`3//2`

D

d)3

Text Solution

Verified by Experts

The correct Answer is:
C
In series ,
`P_(s)=(P_(1)xxP_(2))/(P_(1)+P_(2))=12W`
In parallel , `P_(P)=P_(1)+P_(2)=50W`
`thereforeP_(1)P_(2)=12xx50=600`
Now `,(P_(1)-P_(2))=(P_(1)+P_(2))^(2)-4P_(1)P_(2)`
`=(50)^(2)-4xx600`
`=2500-2400=100`
`thereforeP_(1)-P_(2)=10`
or `P_(1)=30W,P_(2)=20W`
`therefore(P_(1))/(P_(2))=(3)/(2)`
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