Draw a signal flow graph for the electrical network shown and determine v₁/v₁. + V1 10Ω i₁ 2 wwww 2002 wwww 30Ω 3 10Ω wwww. iz 40Ω 4 + 30Ω 04

Identify the states, inputs, and output • Show your work to get the dynamics • Present the state space model, including the state equations and output equation

1. Recall the following setup from HW4: you are setting up a pair of PA speakers on a field in preparation for an outdoor event. Each speaker is 0.65 m wide, and the speakers have a center-to-center separation of 8.2 m. To test the speakers your coworker plays a single tone through the speakers whose frequency is 440 Hz. You are standing 52 m directly in front of the speakers and facing them. (a) Would you expect there to be any diffraction minima in this setup? If so, where? If not, why not? (b) Suppose we wish to create a directed beam of sound waves with that same frequency, 440 Hz. If we want the total width of this directed beam to increase by at most 5 m for every 100 m the beam goes forward, what is the smallest speaker we could use for this purpose?