Exercise 4.9 Consider the circuit shown in Figure 4.31 on page 191 with R = 25 9 a. Compute the undamped resonant frequency, the damping coefficient, and the damping ratio. b. The initial conditions are v(0-) = 0 and iL(0-) = 0. Show that this requires that v' (0+) = 100 V/s. c. Find the particular solution for v(t). d. Find the general solution for v(t), including the numerical values of all parameters. Answer a. wo = 10°, a = 2 x 10°, and = 2; b. KCL requires that ic (0) = 0.1 A = Cv' (0), thus v' (0) = 106; c. Vp (t) = 0; d. v(t) = 2.89(e-0.268×10°t e-3.73x10°t). || %3D 000

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Analog to Digital Converters

The analog-to-digital converter (ADC) allows circuits controlled by microprocessors, Arduinos, Raspberry Pi, and various reasonable digital circuits to be connected to the real world. In the real world, analog signals have a continuous stream of information from a variety of sources and sensors capable of measuring sound, light, temperature, or movement, in addition to the many digital systems that interact with their environment by measuring analog signals from those transducers.