Question Detail
Question
Calculate the total resistance between the points A and B. (Circuit consists of a 4 ohm resistor in series with a parallel combination of (1 ohm in parallel with 2 ohm) and then that combination in series with a 3 ohm resistor).
Correct Answer
Option C is the correct answer.
Detailed Explanation
First, calculate the equivalent resistance of the 1 ohm and 2 ohm resistors in parallel: Rp1 = (1 × 2) / (1 + 2) = 2/3 ≈ 0.667 ohm. Then, this Rp1 is in series with the 3 ohm resistor, so Rmid = 0.667 + 3 = 3.667 ohm. Finally, this Rmid is in series with the 4 ohm resistor, so Rtotal = 4 + 3.667 = 7.667 ohm.
Hint
Identify series and parallel combinations correctly. The 1 ohm and 2 ohm resistors are in parallel, and that combination is in series with the 3 ohm resistor, all of which are in series with the 4 ohm resistor.