Thursday, 8 February 2018

voltage - Two black boxes display the same impedance at all frequencies. Which has the single resistor?


Two black boxes display the same impedance at all frequencies. The first contains a single 1 Ohm resistor. Each end is connected to a wire, so that two wires protrude from the box. The second box looks identical from the outside, but inside there are 4 components. A 1 F capacitor is in parallel with a 1 Ohm resistor, and a 1 H inductor is in parallel with the other 1 Ohm resistor. The RC combo is in series with the RL combo, as shown in the figure


The boxes are painted black, unbreakable, impervious to x-rays, and magnetically shielded.
circuitDemonstrate that the impedance of each box is 1 Ohm at all frequencies. What measurement would allow one to determine which box contains the single resistor?




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