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RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

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RMS Current is defined as the root mean square value of the current in a thyristor rectifier. Check FAQs

I rms = \frac{V i(max)}{R} \cdot \sqrt{\frac{1}{2} - \frac{α r}{2 \cdot π} + \frac{\sin (2 \cdot α d)}{4 \cdot π}}

I_rms - RMS Current?V_i(max) - Peak Input Voltage?R - Resistance?α_r - Trigger Angle in Radians?α_d - Trigger Angle in Degree?π - Archimedes' constant?

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Example

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Here is how the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like with Values.

Here is how the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like with Units.

Here is how the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD equation looks like.

0.5876 = \frac{22}{25} \cdot \sqrt{\frac{1}{2} - \frac{0.84}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 45)}{4 \cdot 3.1416}}

0.5876A = \frac{22V}{25Ω} \cdot \sqrt{\frac{1}{2} - \frac{0.84rad}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 45°)}{4 \cdot 3.1416}}

0.5876 = \frac{22}{25} \cdot \sqrt{\frac{1}{2} - \frac{0.84}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 45)}{4 \cdot 3.1416}}

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RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Solution

Follow our step by step solution on how to calculate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

FIRST Step Consider the formula

I rms = \frac{V i(max)}{R} \cdot \sqrt{\frac{1}{2} - \frac{α r}{2 \cdot π} + \frac{\sin (2 \cdot α d)}{4 \cdot π}}

Next Step Substitute values of Variables

∴

I rms = \frac{22V}{25Ω} \cdot \sqrt{\frac{1}{2} - \frac{0.84rad}{2 \cdot π} + \frac{\sin (2 \cdot 45°)}{4 \cdot π}}

Next Step Substitute values of Constants

∴

I rms = \frac{22V}{25Ω} \cdot \sqrt{\frac{1}{2} - \frac{0.84rad}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 45°)}{4 \cdot 3.1416}}

Next Step Convert Units

∴

I rms = \frac{22V}{25Ω} \cdot \sqrt{\frac{1}{2} - \frac{0.84rad}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 0.7854rad)}{4 \cdot 3.1416}}

Next Step Prepare to Evaluate

∴

I rms = \frac{22}{25} \cdot \sqrt{\frac{1}{2} - \frac{0.84}{2 \cdot 3.1416} + \frac{\sin (2 \cdot 0.7854)}{4 \cdot 3.1416}}

Next Step Evaluate

∴

I rms = 0.587618192454655A

LAST Step Rounding Answer

∴

I rms = 0.5876A

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula Elements

Variables

Constants

Functions

RMS Current

RMS Current is defined as the root mean square value of the current in a thyristor rectifier.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find RMS Current

Peak Input Voltage

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

Symbol: V_i(max)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit. Its S.I unit is ohm.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

Trigger Angle in Radians

Trigger Angle in Radians is defined as the firing angle of a thyristor in radians.

Symbol: α_r

Measurement: AngleUnit: rad

Note: Value should be greater than 0.

Formulas to find Trigger Angle in Radians

Trigger Angle in Degree

Trigger Angle in Degree it gives the firing angle of thyristor in degree.

Symbol: α_d

Measurement: AngleUnit: °

Note: Value should be less than 181.

Formulas to find Trigger Angle in Degree

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Controlled Rectifiers category

Go RMS Voltage of Full Wave Thyristor Rectifier with R Load

V rms(full) = \sqrt{((0.5 \cdot \sin (2 \cdot α d)) + π - α r) \cdot (\frac{{V o(max)}^{2}}{2 \cdot π})}

Go Average Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

V avg(full) = \frac{2 \cdot V o(max) \cdot \cos (α d)}{π}

Go RMS Voltage of Full Wave Thyristor Rectifier with RL Load (CCM) without FWD

V rms(full) = \frac{V o(max)}{\sqrt{2}}

Go Average Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

I avg = \frac{V i(max)}{π \cdot R} \cdot (1 + \cos (α d))

How to Evaluate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD evaluator uses RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)) to evaluate the RMS Current, The RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD formula is defined as the root mean square value of the current that flows through the load. This current is obtained after rectification and smoothing, accounting for the effects of phase control on the input AC voltage. RMS Current is denoted by I_rms symbol.

How to evaluate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using this online evaluator? To use this online evaluator for RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, enter Peak Input Voltage (V_i(max)), Resistance (R), Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d) and hit the calculate button.

FAQs on RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

What is the formula to find RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

The formula of RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD is expressed as RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). Here is an example- 0.587618 = 22/25*sqrt(1/2-0.84/(2*pi)+sin(2*0.785398163397301)/(4*pi)).

How to calculate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

With Peak Input Voltage (V_i(max)), Resistance (R), Trigger Angle in Radians (α_r) & Trigger Angle in Degree (α_d) we can find RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD using the formula - RMS Current = Peak Input Voltage/Resistance*sqrt(1/2-Trigger Angle in Radians/(2*pi)+sin(2*Trigger Angle in Degree)/(4*pi)). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

Can the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD be negative?

Yes, the RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD, measured in Electric Current can be negative.

Which unit is used to measure RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD can be measured.

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RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Example

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Solution

RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD Formula Elements

Other formulas in Full Wave Controlled Rectifiers category

How to Evaluate RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD?

FAQs on RMS Output Current of Single Phase Full Wave Controlled Rectifier with R Load of FWD

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