Find the Frequency Response of the circuit in Figure 2 by developing an appropriate differential equation re- lating V, to V, and taking a Fourier Transform. [Report 2.1: Derivation of Frequency Response with a short comment explaining each step.] 2.2 Computing the Impulse Response Determine an expression for the Impulse Response of the circuit using the Frequency Response from Question 2.1 as a starting point. [Report 2.2: Derivation of Impulse Response with a short comment explaining each step.] 2.3 Approximating the Impulse Response using LTSpice Obtain an approximation for the impulse response of the circuit using a time-domain simulation in LTSpice. You need to drive the filter circuit with a Dirac delta function to obtain an output voltage waveform that represents the Impulse Response. You cannot use an actual Dirac delta function in LTSpice so you must use an approximation. Justify the delta approximation you have used and modify the simulation model to test if your approxima- tion is influencing the results you obtain - try a few variations on the Delta approximation to see what happens. [Report 2.3: Figure(s) comparing computed Impulse Response to response obtained using LTSpice and effect of different delta approximations, some comments to explain how/why certain delta functions give the correct answer but some don't. You do not need to produce a Frequency Response plot or validate your frequency response expression, only the Impulse Response] R= 100 Vi(t) L = 10mH Figure 2: Filter circuit V (t)