Question Detail
Question
Calculate the total resistance between the points A and B. (The circuit shows a 4Ω resistor, then parallel branches of 1Ω and 2Ω, followed by a 3Ω resistor to B).
Correct Answer
Option C is the correct answer.
Detailed Explanation
First, calculate the equivalent resistance of the parallel resistors (1Ω and 2Ω):1/R_p = 1/R1 + 1/R2 = 1/1Ω + 1/2Ω = 2/2 + 1/2 = 3/2 Ω^-1R_p = 2/3 Ω ≈ 0.67 ΩThen, add the series resistors: R_total = 4Ω + R_p + 3Ω = 4Ω + 0.67Ω + 3Ω = 7.67 Ω.
Hint
Start by finding the equivalent resistance of the parallel section, then sum all resistors in series.