AP EAMCET · PHYSICS · Current Electricity
Three unequal resistors in parallel are equivalent to a resistance \(1 \mathrm{ohm}\). If two of them are in the ratio \(1: 2\) and if no resistance value is fractional, then the largest of the three resistances in ohms is
- A (a) 4
- B 6
- C 8
- D 12
Answer & Solution
Correct Answer
(B) 6
Step-by-step Solution
Detailed explanation
Let the three resistances are \(R_1, R_2\) and \(R_3\). \(\therefore \quad \frac{R_1}{R_2}=\frac{1}{2} \Rightarrow R_1=k, R_2=2 k\) In parallel, \(\quad \frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}\) \(\frac{1}{1}=\frac{1}{k}+\frac{1}{2 k}+\frac{1}{R_3}\)…
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