two resistors are connected in series gives an equivalent resistance of 10 ω. when connected in parallel, gives 2.4 ω. then the individual resistance are
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For the series combination: R1 + R2 = 10 [1]
For the parallel combination: (R1•R2) / (R1+R2) = 12/5 [2]
Solve [1] R1 = 10 - R2 [3]
Substitute [3] into [2]: (10 - R2) ·R2/[(10- R2) + R2] = 12/5
Simplifying: (10·R2 = R2²)/10 = 12/5,
or
10·R2 - R2² = 24
Or R2² - 10 R2 + 24 = 0 ,
Or (R2 - 6)·(R2 - 4) = 0
If R2 = 6Ω, then R1 = 10 = R2 = 10 = 6 = 4Ω
Alternately,
if R2 = 4Ω, then R1 = 10 = 4 = 6Ω..
Therefore, R1= 4ohm ; R2= 6ohm..
HOPE IT HELPS..
Thanks and Regards..
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