What mathematical operation does the circuit perform


Redesign the circuit of Figure-1 using an RL circuit rather than the RC approach shown. Refer to given Problem.

1681_Figure 1.jpg

Problem

Following the rationale used to derive the dynamic RC circuits in Figure-3, derive the input-output relationship for the circuit in Figure-2. What mathematical operation does the circuit perform? Reverse the location of the resistor and the inductor. What mathematical operation does the circuit perform now?

2360_Figure 2.jpg

2038_figure 3.jpg

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Physics: What mathematical operation does the circuit perform
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