Question

Three unqual resistors in parallel are equivalent to a resistance 1ohm . If the two of them are in the ratio 1:2 and if no resistance value is fractional, the largest of the three resistance in ohm is

Answer 1

Let say three resistance

R1  , R2 , R3

R3 = 2R2

R1 , R2 , 2R2

1/1 = 1/R1 + 1/R2 + 1/(2R2)

2R2*R1 = 2R2 + 2R1 + R1

2R2*R1 = 2R2 + 3R1

Let say R1 =1

2R2 = 2R2+ 3 (not possible)

Let say R1=2

4R2 = 2R2 + 6

2 R2 = 6

R2 = 3

R3 = 2R2 = 2*3 = 6

three resistors are 2 , 3 , 6

Largest resistor = 6 Ohm

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