Q.3- When two resistances R1 and R2 are connected in parallel, the net
resistance is 3 ohm. When connected in series, its value is 6 ohm.
Calculate the values of: R1 and R2.
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In series connection Req=R1+R2 Or R1+R2=6Ω....................1
In parallel connection R=R1R2/R1+R2 Or R1R2/R1+R2=3Ω...............2 Or R1R2/6=3..........(from 1) Or R1R2=18 OR R1(6-R1)=18 OR 6R1-R1²=18 OR R1²-6R1+18=0 Using quadratic formula R1=12 or R1=4 Hence the required resistances are 12Ω and 4 Ω
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