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.