Consider the circuit shown below, with all the switches S1 through S400 initially 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.
