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Equivalent Current for Fluctuating and Intermittent Loads Formula

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Equivalent Current is defined as a constant current that would produce the same effect on a system as the original varying load. Check FAQs

I eq = \sqrt{(\frac{1}{T}) \cdot \int ({(i)}^{2}, x, 1, T)}

I_eq - Equivalent Current?T - Time Taken for Complete Operation?i - Electric Current?

Equivalent Current for Fluctuating and Intermittent Loads Example

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Here is how the Equivalent Current for Fluctuating and Intermittent Loads equation looks like with Values.

Here is how the Equivalent Current for Fluctuating and Intermittent Loads equation looks like with Units.

Here is how the Equivalent Current for Fluctuating and Intermittent Loads equation looks like.

2.1679 = \sqrt{(\frac{1}{6.88}) \cdot \int ({(2.345)}^{2}, x, 1, 6.88)}

2.1679A = \sqrt{(\frac{1}{6.88s}) \cdot \int ({(2.345A)}^{2}, x, 1, 6.88s)}

2.1679 = \sqrt{(\frac{1}{6.88}) \cdot \int ({(2.345)}^{2}, x, 1, 6.88)}

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Equivalent Current for Fluctuating and Intermittent Loads Solution

Follow our step by step solution on how to calculate Equivalent Current for Fluctuating and Intermittent Loads?

FIRST Step Consider the formula

I eq = \sqrt{(\frac{1}{T}) \cdot \int ({(i)}^{2}, x, 1, T)}

Next Step Substitute values of Variables

∴

I eq = \sqrt{(\frac{1}{6.88s}) \cdot \int ({(2.345A)}^{2}, x, 1, 6.88s)}

Next Step Prepare to Evaluate

∴

I eq = \sqrt{(\frac{1}{6.88}) \cdot \int ({(2.345)}^{2}, x, 1, 6.88)}

Next Step Evaluate

∴

I eq = 2.16789024410027A

LAST Step Rounding Answer

∴

I eq = 2.1679A

Equivalent Current for Fluctuating and Intermittent Loads Formula Elements

Variables

Functions

Equivalent Current

Equivalent Current is defined as a constant current that would produce the same effect on a system as the original varying load.

Symbol: I_eq

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Equivalent Current

Time Taken for Complete Operation

Time Taken for Complete Operation represent the entire duration of operation or a significant portion of it. And it is the duration over which the integral is being calculated.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Taken for Complete Operation

Electric Current

Electric Current refers to the current flowing through the winding during transient operations or any other operating condition. This current is typically measured in units of amperes (A).

Symbol: i

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Electric Current

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

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How to Evaluate Equivalent Current for Fluctuating and Intermittent Loads?

Equivalent Current for Fluctuating and Intermittent Loads evaluator uses Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation)) to evaluate the Equivalent Current, The Equivalent Current for Fluctuating and Intermittent Loads formula is defined as the theoretical representation of the fluctuating or intermittent load as a constant current that would produce the same effect on a system as the original varying load. Equivalent Current is denoted by I_eq symbol.

How to evaluate Equivalent Current for Fluctuating and Intermittent Loads using this online evaluator? To use this online evaluator for Equivalent Current for Fluctuating and Intermittent Loads, enter Time Taken for Complete Operation (T) & Electric Current (i) and hit the calculate button.

FAQs on Equivalent Current for Fluctuating and Intermittent Loads

What is the formula to find Equivalent Current for Fluctuating and Intermittent Loads?

The formula of Equivalent Current for Fluctuating and Intermittent Loads is expressed as Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation)). Here is an example- 2.16789 = sqrt((1/6.88)*int((2.345)^2,x,1,6.88)).

How to calculate Equivalent Current for Fluctuating and Intermittent Loads?

With Time Taken for Complete Operation (T) & Electric Current (i) we can find Equivalent Current for Fluctuating and Intermittent Loads using the formula - Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation)). This formula also uses Square Root (sqrt), Definite Integral (int) function(s).

Can the Equivalent Current for Fluctuating and Intermittent Loads be negative?

No, the Equivalent Current for Fluctuating and Intermittent Loads, measured in Electric Current cannot be negative.

Which unit is used to measure Equivalent Current for Fluctuating and Intermittent Loads?

Equivalent Current for Fluctuating and Intermittent Loads is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Equivalent Current for Fluctuating and Intermittent Loads can be measured.

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