Question Detail
Question
Calculate the equivalent resistance between A and B based on the following circuit diagram:
The circuit consists of a 20 Ω resistor in series with three 20 Ω resistors connected in parallel.
The circuit consists of a 20 Ω resistor in series with three 20 Ω resistors connected in parallel.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Based on the visual interpretation of the diagram and the options provided, the most plausible configuration is a 20 Ω resistor connected in series with three 20 Ω resistors that are connected in parallel.1. Calculate the equivalent resistance of the three 20 Ω resistors in parallel (Rp):1/Rp = 1/20 Ω + 1/20 Ω + 1/20 Ω = 3/20 Ω-1Rp = 20/3 Ω ≈ 6.67 Ω2. The total equivalent resistance (Req) between A and B is the sum of the series 20 Ω resistor and Rp:Req = 20 Ω + Rp = 20 Ω + 6.67 Ω = 26.67 Ω.
Hint
Identify the series and parallel combinations in the circuit. Start by simplifying the parallel branches first.