Why are imaginary numbers not real?

Essentially, an imaginary number is the square root of a negative number and does not have a tangible value. 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.

Why is it called an imaginary number?

An “imaginary number” is a multiple of a quantity called “i” which is defined by the property that i squared equals -1. At that point in time, people were imagining what it would be like to have a number system that contained square roots of negative numbers, hence the name “imaginary”.

What is an imaginary number Why do we use it what is a complex number How does it relate to imaginary number?

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined by its property i2 = −1. The square of an imaginary number bi is −b2. For example, 5i is an imaginary number, and its square is −25.

What exactly is reactive power?

In electrical grid systems, reactive power is the power that flows back from a destination toward the grid in an alternating current scenario. Reactive power gets energy moving back into the grid during the passive phases. Reactive power is also known as: phantom power.

Why do imaginary numbers exist in math?

Why do we have imaginary numbers anyway? The answer is simple. The imaginary unit i allows us to find solutions to many equations that do not have real number solutions.

Are imaginary numbers undefined?

The most common example of course is dividing by zero, which is supposed to be undefinable and the square root of a negative number which is imaginary. Yes, there is a difference, but it’s a bit subtle. An “undefined” value is anything that is not part of your system of computation.

Why is reactive power imaginary?

It must be supplied and delivered to the load because the load requires it to work, but at the same time load will not consume it and in the end, you get it back. For this reason, it’s said to be imaginary power or reactive power.

Why is reactive power measured in VAR?

A VAR is a unit of measurement of reactive power. VARs occur when AC electric currents and voltage are not in phase. Current and voltage become out-of-phase due to certain loads that require reactive power, or VARs. The electricity that magnetizes the coils does no work and is reactive power.

What is the real and imaginary power of s?

The real part of S is the real power P. Its imaginary part is the reactive power Q. Its magnitude is the apparent power S. And the cosine of its phase angle is the power factor PF. Power factor angle.

What are the real and reactive powers of complex power?

As a complex quantity, its real part is real power P and its imaginary part is reactive power Q. Introducing the complex power enables us to obtain the real and reactive powers directly from voltage and current phasors.

Why do we use imaginary numbers for current in reactive components?

Using imaginary numbers for current in reactive components just happens to make the maths a lot simpler. In AC circuits there is typically some phase difference between the voltage and the current.

What is reactive power and how is It measured?

The component, which is proportional to VI sin ϕ is called as reactive power, represented by the letter Q. Even though it is a power, but not measured in watts as it is a non active power and hence, it is measured in Volt-Amperes- Reactive (VAR). The value of this reactive power can be negative or positive depends on the load power factor.