three resistance of which two are equal when connected in series have an effective resistance of 30 ohm then these three resistance are connected in parallel the effective resistance in 3 ohm find the value of individual resistance
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three resistors be r1 r2 r3
r1+r2+r3 =3o
let r1 and r2 be x
2x+r3 =30. ....1
and in parallel
1/x+1/x+r3=3
2/x+r3=3. ....2
on simplifying1 &2
2x-2/x=27
2x^2+2=27x
2x^2-27x+2=0
now simplify using quadratic formulae
r1+r2+r3 =3o
let r1 and r2 be x
2x+r3 =30. ....1
and in parallel
1/x+1/x+r3=3
2/x+r3=3. ....2
on simplifying1 &2
2x-2/x=27
2x^2+2=27x
2x^2-27x+2=0
now simplify using quadratic formulae
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