This makes exponents of i easy to figure out. When you multiply it, it cycles through four different values. There is also an interesting property of i. Essentially, if what is being measured relies on a sine or cosine wave, the imaginary number is used. Imaginary numbers can also be applied to signal processing, which is useful in cellular technology and wireless technologies, as well as radar and even biology (brain waves). Using imaginary currents and real numbers helps those working with AC electricity do the calculations and avoid electrocution. Combining AC currents can be very difficult because they may not match properly on the waves. AC electricity changes between positive and negative in a sine wave.

Here x is called the real part and y is called the. Imaginary numbers are particularly applicable in electricity, specifically alternating current (AC) electronics. An imaginary number iy can be added to a real number x to form a complex number z, as in z x + iy. Usually denoted by the symbol i, imaginary numbers are denoted by the symbol j in electronics (because i already denotes 'current'). Imaginary numbers become particularly useful in advanced calculus. In quadratic planes, imaginary numbers show up in equations that don’t touch the x axis. Imaginary numbers, also called complex numbers, are used in real-life applications, such as electricity, as well as quadratic equations. While it is not a real number - that is, it cannot be quantified on the number line - imaginary numbers are 'real' in the sense that they exist and are used in math. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. An imaginary number is a number that, when squared, has a negative result.

Imaginary numbers examples