1. Why is it important to learn about the Natural Response of RC and.pdf

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1. Why is it important to learn about the Natural Response of RC and RL circuits in the time domain before analyzing them using a method like Laplace? Solution natural response is defined as the response which occurs solely from initial conditions with no other inputs. The natural response is also known as the unforced response or characteristic response.The model differential equation for such a system is homogeneous, in that there is no forcing term. the homogeneous or natural response can be very simply found. It is composed of weighted sums of functions est, where s is possibly complex (or most generally such functions multiplied by polynomials in the time variable t). This is a statement about the solution of differential equations. However, it is a remarkable empirical result that such differential equations well- describe many physical systems. Said another way, the types of natural responses can be easily observed in an experimental context, and in observations of many physical phenomena. The natural response ties things together. A further surprising result is that real-world systems are frequently able to be represented in terms of very simple models of first- or second-order. When higher-order models are required, these systems have responses composed of sums of first- and second-order responses. So it’s very worthwhile to understand the building-block first- and second-order responses in depth. To understand natural frequency, you have to first understand the concept of natural responseof a system. Natural response of a system is its response of the system to its initial state - and only initial state.Forced response of a system is the response of the system to an input -neglecting its initial state. The natural frequency of a structure, depends on its physical characteristics like for example - its mass and stiffness..

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