Why are complex numbers in polar form more useful in electrical engineering calculations than in the rectangul

Question

Engineering Maths

Answer 1

Rectangular coordinates are component of the vector where the polar form gives all the information in a compact form. It helps to see the magnitude (how much) and phase (which way) versus having it seen as part of it is in this direction and the other part is the other. Sinusoidal and harmonic expression representation is easily described in the euler's identity/mathematics which translates to better visual representation in polar of the theory on hand.

Answer 2

It is easier to perform some calculations in polar form e.g. multiplying two signals in polar form just requires simple multiplication of magnitudes and adding phase angles. Another e.g. dividing in polar form only requires subtracting angles and dividing the magnitudes. This is easier than multiplying by complex conjugates in rectangular form to get your answers.

Typically electrical engineers are mainly concerned with phase, magnitude, and frequency. I hope this helps a little. I have been out of electrical engineering school for four years, so I am not as current on my math skills as some of the other people.

Answer 3

Because the phase angle between voltage and current is of special interest in the electrical engineering calculations.

Although both the current and the voltage oscillate sinusoidally in an AC circuit they will not necessarily rise and fall simultaneously with each other in each circuit element or the circuit as a whole.

The current and voltage will oscillate with the same frequency but they will (in general) be out of phase with each other. The exception being when the circuit is in resonance or if there is only resistor in the circuit.

Using polar coordinates, the phase angle is readily available.

Answer 4

The polar form reveals the magnitude and phase of the complex expression, and these are meaningful physical parameters that can be directly measured. However, when setting up expressions for networks, the rectangular form is used since addition and subtraction of complex variables is easier in this form.

Answer 5

What does 3?2 recommend to you? It skill no longer something to me. Polar style of a complicated huge type has a number of varieties: if the complicated huge type is a + bi = r(cos(Ø) + isin(Ø)) usually written rCIS(Ø) the position r = ±sqrt(a^2 + b^2) and Ø = ArcTan(b/a) Or (r, Ø) The rCIS(Ø) become more desirable through Leonhard Euler in the 18th century

Answer 6

AC currents are used in EE... and Alternating Currents have reoccuring patterns that can be graphed using equations in polar form...

Answer 7

electrical engineers in general prefer not to use there rectums for calculating

Answer 8

It is easier to calaculate and it also depends a lot on the type of circuitry that we are looking at.