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RMS Output Current for Step down Chopper (Buck Converter) Formula

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RMS Current Buck Converter as the root mean square of the current across load connected to the buck converter over one complete cycle. Check FAQs

I rms(bu) = \sqrt{d} \cdot (\frac{V s}{R})

I_rms(bu) - RMS Current Buck Converter?d - Duty Cycle?V_s - Source Voltage?R - Resistance?

RMS Output Current for Step down Chopper (Buck Converter) Example

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Here is how the RMS Output Current for Step down Chopper (Buck Converter) equation looks like with Values.

Here is how the RMS Output Current for Step down Chopper (Buck Converter) equation looks like with Units.

Here is how the RMS Output Current for Step down Chopper (Buck Converter) equation looks like.

1.8183 = \sqrt{0.529} \cdot (\frac{100}{40})

1.8183A = \sqrt{0.529} \cdot (\frac{100V}{40Ω})

1.8183 = \sqrt{0.529} \cdot (\frac{100}{40})

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RMS Output Current for Step down Chopper (Buck Converter) Solution

Follow our step by step solution on how to calculate RMS Output Current for Step down Chopper (Buck Converter)?

FIRST Step Consider the formula

I rms(bu) = \sqrt{d} \cdot (\frac{V s}{R})

Next Step Substitute values of Variables

∴

I rms(bu) = \sqrt{0.529} \cdot (\frac{100V}{40Ω})

Next Step Prepare to Evaluate

∴

I rms(bu) = \sqrt{0.529} \cdot (\frac{100}{40})

Next Step Evaluate

∴

I rms(bu) = 1.81830965459682A

LAST Step Rounding Answer

∴

I rms(bu) = 1.8183A

RMS Output Current for Step down Chopper (Buck Converter) Formula Elements

Variables

Functions

RMS Current Buck Converter

RMS Current Buck Converter as the root mean square of the current across load connected to the buck converter over one complete cycle.

Symbol: I_rms(bu)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find RMS Current Buck Converter

Duty Cycle

A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.

Symbol: d

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Duty Cycle

Source Voltage

Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Source Voltage

Resistance

Resistance is defined as the resistance experienced by either the source or load connected to the circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Resistance

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 Step Up or Step Down Chopper category

Go Average Load Voltage for Step down Chopper (Buck Converter)

V L(bu) = d \cdot V s

Go RMS Load Voltage for Step down Chopper (Buck Converter)

V rms(bu) = \sqrt{d} \cdot V s

Go Average Output Current for Step down Chopper (Buck Converter)

i o(bu) = d \cdot (\frac{V s}{R})

Go Average Load Voltage Step down Chopper (Buck Converter)

V L = f c \cdot T on \cdot V s

How to Evaluate RMS Output Current for Step down Chopper (Buck Converter)?

RMS Output Current for Step down Chopper (Buck Converter) evaluator uses RMS Current Buck Converter = sqrt(Duty Cycle)*(Source Voltage/Resistance) to evaluate the RMS Current Buck Converter, The RMS Output Current for Step down Chopper (Buck Converter) formula is defined as root mean square value of the output current flowing through the chopper based circuit. RMS Current Buck Converter is denoted by I_rms(bu) symbol.

How to evaluate RMS Output Current for Step down Chopper (Buck Converter) using this online evaluator? To use this online evaluator for RMS Output Current for Step down Chopper (Buck Converter), enter Duty Cycle (d), Source Voltage (V_s) & Resistance (R) and hit the calculate button.

FAQs on RMS Output Current for Step down Chopper (Buck Converter)

What is the formula to find RMS Output Current for Step down Chopper (Buck Converter)?

The formula of RMS Output Current for Step down Chopper (Buck Converter) is expressed as RMS Current Buck Converter = sqrt(Duty Cycle)*(Source Voltage/Resistance). Here is an example- 1.81831 = sqrt(0.529)*(100/40).

How to calculate RMS Output Current for Step down Chopper (Buck Converter)?

With Duty Cycle (d), Source Voltage (V_s) & Resistance (R) we can find RMS Output Current for Step down Chopper (Buck Converter) using the formula - RMS Current Buck Converter = sqrt(Duty Cycle)*(Source Voltage/Resistance). This formula also uses Square Root (sqrt) function(s).

Can the RMS Output Current for Step down Chopper (Buck Converter) be negative?

Yes, the RMS Output Current for Step down Chopper (Buck Converter), measured in Electric Current can be negative.

Which unit is used to measure RMS Output Current for Step down Chopper (Buck Converter)?

RMS Output Current for Step down Chopper (Buck Converter) 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 for Step down Chopper (Buck Converter) can be measured.

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