Two resistance connected in parallel across a cell of negligible internal resistance, use 4.5 times the power that they would use, when in series acro

Question

Two resistance connected in parallel across a cell of negligible internal resistance, use 4.5 times the power that they would use, when in series acro

Two resistance connected in parallel across a cell of negligible internal resistance, use 4.5 times the power that they would use, when in series across the same cell. If one of the resistance is 8ohm, the other is:-
A. `8Omega`
B. `12Omega`
C. `16Omega`
D. `36Omega`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

`P_(p)=(V^(2)(R_(1)+R_(2)))/(R_(1)R_(2))`
`P_(s)=(V^(2))/(R_(1)+R_(2))`
`P_(P)=4.5Ps`
`(R_(1)+R_(2))/(R_(1)R_(2))=(9)/(2(R_(1)+R_(2))) because (R_(1)=8.2)`
`(8+R_(2))/(8R_(2))=36 R_(2)`
`R_(2)^(2)-20R_(2)+ 6 4=0`
`R_(2)=16,4`

5 views Answered 2023-02-05 15:29