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Transients in R-L-C circuits:
Scenario
The Laplace transform is a valuable mathematical tool which allows the solution of difficult differential equations to be easily determined.
Laplace introduced a method by which a complex differential equation may be changed into an algebraic problem from which a solution is then readily determined. The inverse Laplace transform then turns the solution, to the algebraic equation, into the solution to the original problem.
The problem in Task 1 represents a typical application of a Laplace transform.
Task
Solve for the current, I in the diagram below, using Laplace transformations.
Consider the analog averager where x(t) is the input and y(t) is the output. (a) Find the impulse response h(t) of the average. Is this system causal? (b) Let x(t)
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