Question Detail
Question
Calculate the total resistance between the points A and B of the given circuit.
The circuit consists of a 4Ω resistor in series with a parallel combination of a 1Ω resistor and a 2Ω resistor, followed by a 3Ω resistor in series.
The circuit consists of a 4Ω resistor in series with a parallel combination of a 1Ω resistor and a 2Ω resistor, followed by a 3Ω resistor in series.
Correct Answer
Option C is the correct answer.
Detailed Explanation
First, calculate the equivalent resistance of the parallel combination: Rparallel = (1Ω × 2Ω) / (1Ω + 2Ω) = 2/3 Ω ≈ 0.6667 Ω. Then, add this to the series resistors: Rtotal = 4Ω + 0.6667Ω + 3Ω = 7.6667 Ω. This rounds to 7.67 Ω.
Hint
Remember to first calculate the equivalent resistance of parallel components before adding them to series components.