Two resistance are connected in(a) series (b) parallel. The equivalent resistance in the two cases are 9 ohm and 2 ohm respectively. Then find the resistances of the component resistors.
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Let the first resistance be X ohms
and the second be Y ohms...
In series
X+Y=9
In parallel
1/X + 1/Y = 1/2
⇒XY/X+Y =2
XY/9 = 2
XY=18
The resistances are 6Ω and 3Ω.
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