3. Consider this RLC circuit. We have in series a resistor of 1kOhm, inductor of 10uH, capacitor of 10nF. We connect the components in series respectively and probe Vout as the voltage across the inductor and capacitor. Vin 1k 10H 10nF a) What do you believe the filter's characteristics are? Is it a low-pass, high-pass, band-pass, notch, or neither? Explain your thinking. b) Find the transfer function of this system. Leave your answer in terms of R, L, and C, and plot the magnitude response. c) What is the actual shape given by the magnitude response of this filter? Was it or was it not what you initially predicted it would be? How does the Q factor of this filter affect the shape of the magnitude response? d) When implementing RLC filters, do we want a high resistance load or a low resistance load (again, think how R affects the Q factor)? If we have an ideal RLC band-pass filt