Question Detail
Question
Calculate the total resistance between the points A and B for the circuit shown on page 4, assuming the 4 ohm, (1 ohm || 2 ohm), and 3 ohm resistors are connected in parallel between A and B.
Correct Answer
Option D is the correct answer.
Detailed Explanation
Interpreting the diagram as three parallel branches between points A and B:1. Resistor R1 = 4 ohm2. Parallel combination of R2 = 1 ohm and R3 = 2 ohm: Rp = (1 * 2) / (1 + 2) = 2/3 ohm ≈ 0.667 ohm3. Resistor R4 = 3 ohmFor parallel resistors, the total equivalent resistance Req is given by:1/Req = 1/R1 + 1/Rp + 1/R41/Req = 1/4 + 1/(2/3) + 1/31/Req = 1/4 + 3/2 + 1/3To sum these fractions, find a common denominator, which is 12:1/Req = 3/12 + 18/12 + 4/12 = (3 + 18 + 4) / 12 = 25/12Req = 12/25 = 0.48 ohm.
Hint
Analyze the circuit diagram carefully to identify series and parallel connections. Consider if the different resistor configurations are parallel to each other between A and B.