Abstract
This chapter discusses Laplace transforms. Solution of most electrical circuit problems can be reduced ultimately to the solution of differential equations. The use of Laplace transforms provides an alternative method for solving linear differential equations. There are several Laplace transform theorems, which help to simplify and interpret the solution of certain problems. Two such theorems are the initial value theorem and the final value theorem: the initial value theorem and the final value theorem. The initial and final value theorems are used in pulse circuit applications where the response of the circuit for small periods of time, or the behavior immediately after the switch is closed are of interest. The final value theorem is particularly useful in investigating the stability of systems, such as in automatic aircraft-landing systems. It is concerned with the steady state response for large values of time t that is after all transient effects have died away.
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