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Two resistors of 6 ohm and 3 ohm are connected in parallel. What is the effective resistance of the combination?
A4.5 ohm
B2 ohm
C9 ohm
D18 ohm
Answer & Solution
Correct answer: B. 2 ohm
1. For parallel: $\dfrac{1}{R_p} = \dfrac{1}{R_1} + \dfrac{1}{R_2}$.
2. $\dfrac{1}{R_p} = \dfrac{1}{6} + \dfrac{1}{3} = \dfrac{1}{6} + \dfrac{2}{6} = \dfrac{3}{6}$.
3. So $R_p = 2\,\Omega$.
4. The value 9 is the series sum, not parallel; parallel must be less than the smaller resistor.
_Source: Samacheer Kalvi (TN SCERT) Class 10 Science, Unit 4 Electricity "Electricity", p.62_
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