c_mitra
Advanced Member level 6
The currents and voltages are complex numbers (called phasors) and they are analyzed by, you guessed it, by complex analysis. The Laplace transformation is similar to Fourier transformation and is used to convert the time domain into the frequency domain (i(t)---> I(f)) and poles (and zeros) are frequencies where the transformation blows up. Just consider f/(z-a) where the function is having a pole at z=a. Most commonly you not be able to get rid of the poles but you can shift them to a point which is outside your design considerations.