Three unequal resistors in parallel are equivalent to a resistance 1 . If 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

Three unequal resistors in parallel are equivalent to a resistance 1 . If 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

1 Answer

127 votes

Let the resistances be and

In parallel

If k=1, then is found to be negative, which is impossible.

If k=2, then

, not satisfying the condition of the question that all resistance are unequal.

∴ Largest resistance =6

127 votes

127