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...
Damped & Undamped Oscillating Systems In practice, all oscillators eventually stop oscillating Their amplitudes decrease rapidly, or gradually This happens due to resistive forces, such ...
