Consider a circuit composed of a battery (ɛ= 20 V), a resistor (R = 10 Q) and an inductor (L = 1 mH) all connected in series. Before t=0, the system is in steady state and the current in the circuit i(t) is at its maximum possible value (Imax). At t=0, the battery is removed and replaced by a wire, the circuit then consists in a single loop with the inductor and the resistor in series (no more battery). (a) Find the current in the inductor i(t) as a function of time (provide details on how to find the solution including the exact value of Imax). (b) Do a schematic plot of the current in the inductor as a function of time and calculate the time constant of the system (c) How long will it take for the current i(t) to reach 0.367 (~1/e) of its initial maximal value Imaz ?

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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.