¡Descarga practica 02 electricidad y magnetismo y más Apuntes en PDF de Electrónica solo en Docsity! Practice 2. Experimental Validation AMADOR PINACHO JUAN ENRIQUE (enriique604@gmail.com) Modelado de Sistemas Físicos y Señales Grupo 7, Facultad de Ingeniería, Ciudad de México, México Abstract. In this practice, it will be validated by an experiment a Resistance-Capacitor electric circuit (RC). Using the technics learned at class we will find the solution with the time parameter of the voltage for one of the capacitors through the graphic that represent the solution of this specific model This value will be validated throughout an experiment where a circuit will be wired, and the estimated value will be measured with a multimeter, besides the circuit will be simulated using a electric circuit simulator software for a double validation of the obtained model. 1. INTRODUCCIÓN A system is defined by a series of elements that act upon to reach a goal. A model corresponds to the understanding of the behavior of a system and building a mathematical interpretation. Generally, a model corresponds to a series of differential equations that when transformed they allow a description of the model. Models can be classified in two types: •Dynamic Analysis of the Model: They’re obtain by analysis of the physical system on a fundamental level. Involve approachment • Models of dynamic identification: It obtain by inference of the observe behavior of the physical system Nevertheless, once the mathematic model is obtained, its result suitable to validate the model. To accomplish the previous statement is necessary to realize experiment. Objective Validate by an experiment the mathematic model obtained using the technic from the class. DEVELOPMENT For this practice the result will be obtain with the time parameter for [vc] of the next electric system by the correspondent mathematic model. Also, with the help of a numerical software the graphic will be obtain. Likewise using an electronical software and recreating the actual circuit the behavior of the voltage will be seen. A. Obtain of the Mathematical Model of the Kirchhoff laws of voltages applied in figured number Vi- Vi d(C2Vc2) + (C2Va) dt d(Vc2) v - C2R—dt Normalizing: ..(1) B. Obtaining the result in the time parameter For acquiring the result of the mathematic model, the differential equation has to be solve(I) Separating the variables, the result is the next.: d(Vc2) = dt Integrating: As a result : Being=0 V = 0 kl — C2Rlog(Vi) Finally substituting Kl in (2) it obtains that: Results A Physical Model. To be able to see the behavior of Vc2 the actual circuit was armed with Physical Model: • 2 Capacitors of 48 [ IIF] • I Resistance of 1 [k Q] • I voltage source of 5 [V] The obtained result was that the voltage in the capacitor 2 remained constant in the time parameter with 5V magnitude. This behavior can be seen in picture number 1 Imagen 1. Circuito en Multímetro Simulation with Software. For the simulation of the circuit the Circuit Jam software was use. The result can be seen in imagine number 2 Imagen 2. Circuito en Software Finally, the behavior of equation number can be seen by replacing the value of the constant and graphing the function. The results shown in imagine number 3 = d(Vc2) dt C2R - C2R1n(Vt-Vc2 =
