Applications of mathematics to electrical systems and circuits, and other fields of engineering, are presented along with examples.

Multiple Integrals Calculations and Applications Double Integrals Calculations Double Integrals Over General Regions Double Integrals in Polar Coordinates Applications of Double Integrals Gaussian …

AC circuits Solve AC circuits problems with Solutions Current and Voltages Computations in Series RLC circuit Series and Parallel Impedances Computations Calculate Equivalent Impedance in AC Circuits. …

Solving AC circuit problems using Kirchhoff's and Ohm's laws extended to impedances in complex forms are presented along with their deatailed solutions. More problems with answers are also included.

Problems with solutions are also included. A - Instantaneous Power in AC Circuits Consider the circuit below Let the impedance Z Z be written in polar form as Z = ∣ Z ∣ e j θ Z = ∣Z ∣ ejθ Let v i (t) = V 0 cos …

Examples where the Choice of the Order of Integration Depends on the Given Problem In examples 3, 4 and 5, we show that sometimes we do not have the two choices of the order of integration that we …

The equivalent impedance between points A and B is given by Z A B = Z 1 + Z 2 +... + Z n Z AB = Z 1 + Z 2 +... + Z n Example 1 Find the complex impedance equivalent to the series RLC circuit shown …

Engineering and Science Calculators Coordinate Geometry & Transformations GPS and ECEF Converter 3D GPS Calculator: Distance and Angle Between Two Points in Space Using GPS …

We also show how to mathematically model the charging and discharging processes of a capacitor. An online calculator to calculate expressions for voltages and current is also included. \ ( \)\ ( \)\ ( \) …

Solution to the Problem The equation, in the \ ( s \) domain , relating the voltage \ ( V_C (s) \) across the capacitor and the input voltage \ ( V_i (s) \) in an RC circuit has already been determined.