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RMS Load Current of Three Phase Uncontrolled Rectifier Formula

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RMS load current is a measure of the effective or equivalent current flowing through a load in an alternating current (AC) circuit. Check FAQs

I L(rms) = \frac{n \cdot V max}{R L \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot π}}

I_L(rms) - RMS Load Current?n - Winding Ratio?V_max - Peak Input Voltage?R_L - Load Resistance?π - Archimedes' constant?

RMS Load Current of Three Phase Uncontrolled Rectifier Example

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Here is how the RMS Load Current of Three Phase Uncontrolled Rectifier equation looks like with Values.

Here is how the RMS Load Current of Three Phase Uncontrolled Rectifier equation looks like with Units.

Here is how the RMS Load Current of Three Phase Uncontrolled Rectifier equation looks like.

451.222 = \frac{15 \cdot 220}{6.99 \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot 3.1416}}

451.222A = \frac{15 \cdot 220V}{6.99Ω \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot 3.1416}}

451.222 = \frac{15 \cdot 220}{6.99 \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot 3.1416}}

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RMS Load Current of Three Phase Uncontrolled Rectifier Solution

Follow our step by step solution on how to calculate RMS Load Current of Three Phase Uncontrolled Rectifier?

FIRST Step Consider the formula

I L(rms) = \frac{n \cdot V max}{R L \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot π}}

Next Step Substitute values of Variables

∴

I L(rms) = \frac{15 \cdot 220V}{6.99Ω \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot π}}

Next Step Substitute values of Constants

∴

I L(rms) = \frac{15 \cdot 220V}{6.99Ω \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

I L(rms) = \frac{15 \cdot 220}{6.99 \cdot \sqrt{2}} \cdot \sqrt{1 + \frac{3 \cdot \sqrt{3}}{2 \cdot 3.1416}}

Next Step Evaluate

∴

I L(rms) = 451.22198193321A

LAST Step Rounding Answer

∴

I L(rms) = 451.222A

RMS Load Current of Three Phase Uncontrolled Rectifier Formula Elements

Variables

Constants

Functions

RMS Load Current

RMS load current is a measure of the effective or equivalent current flowing through a load in an alternating current (AC) circuit.

Symbol: I_L(rms)

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find RMS Load Current

Winding Ratio

Winding Ratio of an uncontrolled rectifier is the ratio of the number of turns on the primary winding to the number of turns on the secondary winding of the transformer.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Winding Ratio

Peak Input Voltage

Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.

Symbol: V_max

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage

Load Resistance

Load Resistance of uncontrolled rectifier is a type of rectifier circuit that uses a resistive load to convert AC voltage to DC voltage.

Symbol: R_L

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Load Resistance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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)

Other formulas in Full Wave category

Go Load Voltage of Full Wave Three Phase Uncontrolled Rectifier

V ac = \frac{2 \cdot n \cdot V max}{π}

Go Average Load Current of Three Phase Uncontrolled Rectifier

I L(avg) = \frac{3 \cdot \sqrt{3} \cdot n \cdot V max}{2 \cdot π \cdot R L}

Go Power Delivered to Load in Three Phase Uncontrolled Rectifier

P out = V ac \cdot V dc

Go Average Diode Current of Three Phase Uncontrolled Rectifier

I d(avg) = \frac{\sqrt{3} \cdot n \cdot V max}{2 \cdot π \cdot R L}

How to Evaluate RMS Load Current of Three Phase Uncontrolled Rectifier?

RMS Load Current of Three Phase Uncontrolled Rectifier evaluator uses RMS Load Current = (Winding Ratio*Peak Input Voltage)/(Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)) to evaluate the RMS Load Current, RMS Load Current of Three Phase Uncontrolled Rectifier is important because it is the current that is seen by the load circuit. It is also the current that is used to calculate the power delivered to the load. The RMS value of the load current of an uncontrolled rectifier is always higher than the average load current. This is because the load current of an uncontrolled rectifier is a pulsating DC current with a ripple current superimposed on it. The ripple current is the AC component of the load current, and it is caused by the fact that the rectified sinusoidal waveform is not a pure DC waveform. RMS Load Current is denoted by I_L(rms) symbol.

How to evaluate RMS Load Current of Three Phase Uncontrolled Rectifier using this online evaluator? To use this online evaluator for RMS Load Current of Three Phase Uncontrolled Rectifier, enter Winding Ratio (n), Peak Input Voltage (V_max) & Load Resistance (R_L) and hit the calculate button.

FAQs on RMS Load Current of Three Phase Uncontrolled Rectifier

What is the formula to find RMS Load Current of Three Phase Uncontrolled Rectifier?

The formula of RMS Load Current of Three Phase Uncontrolled Rectifier is expressed as RMS Load Current = (Winding Ratio*Peak Input Voltage)/(Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)). Here is an example- 451.222 = (15*220)/(6.99*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)).

How to calculate RMS Load Current of Three Phase Uncontrolled Rectifier?

With Winding Ratio (n), Peak Input Voltage (V_max) & Load Resistance (R_L) we can find RMS Load Current of Three Phase Uncontrolled Rectifier using the formula - RMS Load Current = (Winding Ratio*Peak Input Voltage)/(Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the RMS Load Current of Three Phase Uncontrolled Rectifier be negative?

No, the RMS Load Current of Three Phase Uncontrolled Rectifier, measured in Electric Current cannot be negative.

Which unit is used to measure RMS Load Current of Three Phase Uncontrolled Rectifier?

RMS Load Current of Three Phase Uncontrolled Rectifier is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which RMS Load Current of Three Phase Uncontrolled Rectifier can be measured.

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RMS Load Current of Three Phase Uncontrolled Rectifier Formula

RMS Load Current of Three Phase Uncontrolled Rectifier Example

RMS Load Current of Three Phase Uncontrolled Rectifier Solution

RMS Load Current of Three Phase Uncontrolled Rectifier Formula Elements

Other formulas in Full Wave category

How to Evaluate RMS Load Current of Three Phase Uncontrolled Rectifier?

FAQs on RMS Load Current of Three Phase Uncontrolled Rectifier

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