Inequalities & Regions in Argand Diagrams How do I sketch inequalities such asor ?on an Argand diagram? The inequality is satisfied by all complex numbers, , with a real part less than 2 On an ...
Loci in Argand Diagrams How do I sketch the locus of?oron an Argand diagram? All complex numbers, , that satisfy the equation ?lie on a?vertical line with Cartesian equation Any complex number alon...
Modulus-Argument Form The complex number ?is said to be in Cartesian form. There are, however, other ways to write a complex number, such as in modulus-argument (polar) form. How do I write a compl...
Argand Diagrams - Basics What is an Argand diagram? An Argand diagram is a?geometrical?way to represent complex numbers as either a?point?or a?vector?in two-dimensional space We can represent the c...
Solving Quadratic Equations with Complex Roots What are complex roots?? Complex numbers?provide solutions for quadratic equations which have?no real roots Complex roots occur when solving a quadrat...
Cartesian Form of Complex Numbers Complex numbers are a set of numbers which contain both a real part and an imaginary part. The set of complex numbers is denoted as . What is an imaginary number? ...
Damping & Plastic Deformation Damping?an oscillator affects its?amplitude?of oscillation: When?damping?is?increased?the?amplitude decreased damping?and?amplitude?are?inversely proportional?to e...
Resonance Graphs A graph of driving frequency?f?against amplitude?A?of oscillations is called a?resonance curve. It has the following key features: When?f?<?f0, the amplitude of oscillations inc...
Free & Forced Oscillations Free Oscillations Free oscillations occur when there is no transfer of energy to or from the surroundings This happens when an oscillating system is displaced and the...
