(Answered) Consider the circuit shown below with all the switches s1

Engineering

Consider the circuit shown below, with all the switches S₁ through S₄₀₀initially open. 400 "switch demons" then converge on the circuit and perform the following actions. Switch demon #1 toggles (i.e., closes an open switch, or opens a closed switch) every switch S₁ through S₄₀₀• Switch demon #2 then toggles every second switch, i.e., switches S₂, S₄, S₆, S₈, etc. Switch demon #3 then toggles every third switch, i.e., switches S₃, S₆, _S9, etc. This continues in analogous fashion for the remaining switch demons #4 through #400, after which all the switch demons leave.

Calculate the resulting current I in the circuit in its final state. Justify your answer and explain your reasoning in detail.

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