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# 2. Liz builds an RLC circuit that is driven by a sinusoidally oscillating voltage source, V,. The angular frequencyw can be tuned, but at any given moment, there is only

one frequency from the source voltage. L == 15 mH, and R = 1502.120и F, С 2.1. Explain how this driven RLC circuit obeys Kirchhoff's voltage loop rule (conservation of energy), for all points in time. Write an equation that relates all the voltage drops as functions of time. Then, write an equation that relates the PEAK voltage drops for each element in the circuit. Draw a picture and explain with words to support your reasoning. 2.2. Liz drives the circuit with a voltage source that oscillates at 60HZ. Find the frequency and peak magnitude of the current created in the circuit in terms of the peak value of the source voltage. Draw a picture and explain with words to support your reasoning. 2.3. Liz would like to maximize the peak current in the circuit, while keeping the source voltage amplitude the same. What frequency, f should the voltage source have in this case? Does Liz need to increase the frequency Tobe larger than 60H z, or reduce the frequency? Draw a diagram and use words to explain your reasoning. 2.4. Realistically, the frequency of the voltage source is not exactly at a constant value, but fluctuates a little bit.How should Liz change the resistance in the circuit such that a slight drop in frequency does not significantly change the peak current amount? Draw a diagram and use words to explain your reasoning. (Hint: consider an example where the frequency does change a little bit, and consider how a change in resistance affects the peakcurrent.)

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