Question

The LRC circuit as shown is driven by a power supply whose EMF = V.cos(wt). In steady state, the current through the ideal self-inductor is IL, the current through the ideal capacitor is Ic, and the current through the resistor is IR- Steady state means that you wait a long time so that all transient phenomena have died out. Don't even THINK of writing down a differential equation. This problem is designed to see whether you have an appreciation for how a capacitor and a self inductor bchave in extreme situations. No fancy math is needed. Express all your answers in terms of L, R, Cand V. a. (2) What are the maximum values of Ir, Ic, and is in case w = 0 (zero frequency means that the power supply is now a simple ballery with zero internal resistance). We are asking you for steady state solutions, NOT transient solutions. b. (3) Anower the same question as under "a", for the other extreme when w approaches a value which is infinitely high. C. (2) Do you expect the maximum value of the current Ir to be higher or lower than the value you found under "a" in the case that the frequency is somewhere in between the above two extremes. Give your reasons. d. (1) There is one frequency (in steady state) for which Iris zero. This is not so intuitive, but given the fact that this is so, what do you think that frequency is? Please, do not try to calculate this frequency DP

Answer 1

Solution of above question is given below-

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