In the circuit given below, calculate the value of Rxy. [Figure description: A circuit with a 20 kΩ resistor in the top left wire carrying current ix (arrow upward on the left side), a 200 Ω resistor in a vertical branch in the middle, and a dependent current source 99 ix (arrow pointing up) in the right branch. Terminals x (top) and y (bottom) are taken across the 200 Ω resistor/ the middle node pair, with Rxy the resistance seen between x and y.]
- A. 100 Ω
- B. 200 Ω
- C. 198.01 Ω
- D. 20 kΩ
Answer: A. 100 Ω
Explanation: Connecting a test source V at x–y: ix = −V/20 kΩ ≈ 0; total current I + 99ix = V/200 gives I = V/200 + 99(V/20k) ≈ V/100, so Rxy = 100 Ω.