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The instantaneous value of an alternating current (AC) is the value of the current at a specific moment in time. It is constantly changing direction and magnitude due to its alternating nature, so the instantaneous value represents its value at that precise instant.

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Average refers to the total value divided by the total number of data points, providing an overall measure. Constant remains the same value throughout. Instantaneous refers to the value of a variable at a specific moment in time.

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Instantaneous velocity and average velocity are not the same. Instantaneous velocity is the velocity at a specific moment in time, while average velocity is the total displacement over a given time interval. In general, they will not have the same value unless the motion is at a constant velocity.

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If the average acceleration is zero, it means that the object's velocity is not changing over time. Since instantaneous acceleration is the acceleration at a specific moment in time, it can still have a non-zero value depending on the instantaneous velocity of the object at that moment.

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This is because reactive power concept is completely different from active(real) power,

That is when we talk about active (real) power, we deal with two terms :

The average value, and the instantaneous value.

Both has significant values; let's say the average value is 5kw, where the instantaneous value maybe 2kw or 6kw, etc...

On the otherhand, reactive power has always a Zero average value, and a different significant instantaneous values, but since the instantaneous value is difficult to measure, we always take the maximum instantaneous value of reactive power and deal with it as a textbook terminology (Reactive power) which is symbolized as Q and equals V I sintheta.

And for the same reason (difficult to measure instantaneous value ) we easily deal with the average value of the active power other than the instantaneous value.

As a brief:

(Active power) symbolized P or known sometimes as real power equals V I cos theta

represents the average value.

(Reactive power) symbolized Q equals V I sin theta represents maximum instantaneous value.

Someone can ask!

Why not to take the maximum instantaneous value of average power such as reactive power as a terminology?

Easily , why not to unites the two concepts ?!

This is the answer of our main question (Why reactive power is so confusing for engineers?)

This is easily because ,there is no useful meaning of using the instantaneous value for the active power, because it is a real produced power goes in one direction from source to load, where the average reactive power is always zero valued, since it goes back and forth in the network, and we are forced to deal with it in some way as an indication value and give it a unique terminology to express it as a fact that we cannot skip.

In other words, you cannot compare two different things; apple and banana! Each one has a different taste.

I hope that I answered the question, and dislodged some dust about this confusing concept, even I didn't take the boring mathematical path.

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Instantaneous power doesn't have a frequency; it's instantaneous!

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Instantaneous Heart Rate is taken by measuring the distance between the R-R interval on an ECG recording. This value tells you how long one heart beat takes. This single value is used to then determine the number of heart beats/minute which is IHR.

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Instantaneous speed is your speed in a given moment. The speedometer in your car and the radar gun that cops use both give a value in instantaneous speed.

The disctinction here is to not confuse instantaneous speed with average speed, which is calculated over a set distance. To calculate average speed (V) you need to divide the distance travelled (D) by the time of travel (T).

V= D/T

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Instantaneous speed is your speed in a given moment. The speedometer in your car and the radar gun that cops use both give a value in instantaneous speed.

The disctinction here is to not confuse instantaneous speed with average speed, which is calculated over a set distance. To calculate average speed (V) you need to divide the distance travelled (D) by the time of travel (T).

V= D/T

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Nothing is instantaneous.

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For the instantaneous value of average velocity, average speed and average velocity are equal.

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At a given moment in time, instantaneous speed can be thought of as the magnitude of the instantaneous velocity of an object. Instantaneous velocity is the rate of change of an object's position at that specific moment in time.

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Average velocity in a direction is calculated as the displacement in that direction divided by the total time taken.

As the time interval is reduced, the displacement over that period also reduces and the limiting value of that ratio is the instantaneous velocity.

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No instantaneous speed is not final speed.

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The product of the instantaneous voltage and the instantaneous current for a circuit or component.

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Instantaneous velocity is a vector quantity.

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When you flip a light switch, the instantaneous response is the immediate illumination of the room.

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Take the derivative of the function.

By plugging a value into the derivative, you can find the instantaneous velocity.

By setting the derivative equal to zero and solving, you can find the maximums and/or minimums.

Example:

Find the instantaneous velocity at x = 3 and find the maximum height.

f(x) = -x2 + 4

f'(x) = -2x

f'(3) = -2*3 = -6

So the instantaneous velocity is -6.

0 = -2x

0 = x

So the maximum height occurs at x = 0

f(0) = -02 + 4 = 4

So the maximum height is 4.

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An energy meter measures power and time; a wattmeter measures an instantaneous value of power. Energy = Watt/seconds.

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Instantaneous velocity is a vector quantity that includes both the speed and direction of an object at a specific moment. Instantaneous speed, on the other hand, is a scalar quantity representing only the magnitude of the velocity without regard to direction.

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To find the instantaneous angular acceleration, you need to know the time rate of change of the instantaneous angular velocity. Without this information, you cannot calculate the instantaneous angular acceleration at t=5.0s.

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The instantaneous speed of a car can be determined by looking at the speedometer at any given moment.

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The instantaneous speed can be thought of as the magnitude of the velocity vector at a specific moment in time. It represents how fast an object is moving at that exact instant.

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Instantaneous velocity is the velocity in difference displacement in shortest time or specific time interval.

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v(t) = ds

dt This should be the formula for instantaneous velocity.

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Instantaneous speed can be thought of as the magnitude of instantaneous velocity. Velocity is a vector quantity that includes both speed and direction, while speed is a scalar quantity that only indicates how fast an object is moving.

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Instantaneous speed is the speed of a body at any one instant. There is really no such thing as the instantaneous speed, it is merely the average speed over a very short space of time.

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Instantaneous speed is the rate at which an object is moving at a specific moment in time, indicated by the object's speedometer reading or GPS device. It provides the actual speed of an object at that instant, accounting for any changes in velocity.

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Happening In an instant. Ex: the sound of thunder after a lightening strike is not always instantaneous depending on how far away it is.

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When a car stops, its instantaneous speed becomes zero.

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The speedometer on a vehicle shows the instantaneous speed, which is the speed of the vehicle at any given moment. It does not display the average speed over a period of time.

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Instantaneous- instanly

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instantaneous speed. =)

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Average or instantaneous? The average is the height divided by the horizontal distance, whereas the instantaneous alternates between zero and infinity.

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The switch turned on the light instantaneously, filling the room with brightness.

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The magnitude measures the total energy release. The intensity measures the... well, the instantaneous "shock" felt by an observer.

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