Second Order Linear Differential Equation-Methods of Numerical Analysis-Assignment, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Download Second Order Linear Differential Equation-Methods of Numerical Analysis-Assignment and more Exercises Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity! Assignment – 1 Due Date: Thursday 8 th March 2012 (11:00 am) An important problem involves circuits in transient state arises where sudden temporal changes take place. Such a situation occurs following the closing of the switch as a new steady state is reached. The length of this adjustment period is closely related to the storage properties of the capacitor and the inductor. Energy storage may oscillate between these two elements during a transient period. However, resistance in the circuit will dissipate the magnitude of the oscillations. The overall situation can be modeled through the following equation: Where q = charge in coulombs R = Resistance in ohms C = Capacitance in Farad L = Inductance in Henry docsity.com