Media:_ECE301Fall2008mboutinComplex numbers – Real life application [[
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]] In real life, complex numbers are used by engineers and physicists to measure electrical currents, to analyze stresses in structures such as bridges and buildings, and to study the flow of liquids. Engineers who design speakers use complex numbers. Engineers who design and test the strength of bridges use complex numbers. Scientists who do experiments on ways to make energy using fuel cells, batteries, and solar cells use complex numbers. Complex numbers are also used for generating fractals, which are geometric objects created by making a repeating pattern. Electrical current measurements are important to people who want to use electricity in a creative way. If you want to redesign your stereo to make it play the bass louder, or to add components like a turn-table, you might want to make some electrical measurements to make sure the components are compatible with each other. Electrical current is used as a direct current (DC) or alternating current (AC). When working with AC, complex numbers are needed.
electrical current equation
V = I • Z
V is voltage, I is current, Z is impedance
Z = V / I
we can also separate the current and voltage using complex notation Z = V + Ii
