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

✖A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.ⓘ Duty Cycle [d]			+10% -10%
✖Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.ⓘ Source Voltage [V_s]			+10% -10%
✖Resistance is defined as the resistance experienced by either the source or load connected to the circuit.ⓘ Resistance [R]			+10% -10%

✖RMS Current is the direct current which flows through a resistance. The RMS value of AC is greater than the average value.ⓘ RMS Output Current for Step down Chopper (Buck Converter) [I_rms]

⎘ Copy

👎

Formula

✖

RMS Output Current for Step down Chopper (Buck Converter)

Formula

`"I"_{"rms"} = sqrt("d")*("V"_{"s"}/"R")`

Example

`"1.870829A"=sqrt("0.56")*("100V"/"40Ω")`

Calculator

LaTeX

Reset

👍

Download Choppers Formulas PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance)
I_rms = sqrt(d)*(V_s/R)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

RMS Current - (Measured in Ampere) - RMS Current is the direct current which flows through a resistance. The RMS value of AC is greater than the average value.
Duty Cycle - A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active.
Source Voltage - (Measured in Volt) - Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper.
Resistance - (Measured in Ohm) - Resistance is defined as the resistance experienced by either the source or load connected to the circuit.

STEP 1: Convert Input(s) to Base Unit

Duty Cycle: 0.56 --> No Conversion Required
Source Voltage: 100 Volt --> 100 Volt No Conversion Required
Resistance: 40 Ohm --> 40 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_rms = sqrt(d)*(V_s/R) --> sqrt(0.56)*(100/40)

Evaluating ... ...

I_rms = 1.87082869338697

STEP 3: Convert Result to Output's Unit

1.87082869338697 Ampere --> No Conversion Required

FINAL ANSWER

1.87082869338697 ≈ 1.870829 Ampere <-- RMS Current

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electrical » Power Electronics » Choppers » Step Up/Step Down Chopper » RMS Output Current for Step down Chopper (Buck Converter)

Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

< 10+ Step Up/Step Down Chopper Calculators

Input Power for Step down Chopper

Go Input Power = (1/Total Switching Period)*int((Source Voltage*((Source Voltage-Chopper Drop)/Resistance)),x,0,(Duty Cycle*Total Switching Period))

Capacitor Voltage of Buck Converter

Go Voltage Across Capacitor = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage

RMS Output Current for Step down Chopper (Buck Converter)

Go RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance)

Average Load Voltage Step down Chopper (Buck Converter)

Go Load Voltage = Chopping Frequency*Chopper On Time*Source Voltage

Average Load Voltage for Step up or Step down Chopper (Buck-Boost Converter)

Go Load Voltage = Source Voltage*(Duty Cycle/(1-Duty Cycle))

Average Output Current for Step down Chopper (Buck Converter)

Go Output Current = Duty Cycle*(Source Voltage/Resistance)

Output Power Step down Chopper (Buck Converter)

Go Output Power = (Duty Cycle*Source Voltage^2)/Resistance

RMS Load Voltage for Step down Chopper (Buck Converter)

Go RMS Voltage = sqrt(Duty Cycle)*Source Voltage

Average Load Voltage for Step up Chopper (Boost Converter)

Go Load Voltage = (1/(1-Duty Cycle))*Source Voltage

Average Load Voltage for Step down Chopper (Buck Converter)

Go Load Voltage = Duty Cycle*Source Voltage

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

RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance)
I_rms = sqrt(d)*(V_s/R)

What is a Buck converter?

Buck Converter is a type of chopper circuit that is designed to perform step-down conversion of the applied dc input signal. In the case of buck converters, the fixed dc input signal is changed into another dc signal at the output which is of lower value. This means it is designed to produce a dc signal as its output that possesses a lower magnitude than the applied input.

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

RMS Output Current for Step down Chopper (Buck Converter) calculator uses RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance) to calculate the RMS Current, 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 is denoted by I_rms symbol.

How to calculate RMS Output Current for Step down Chopper (Buck Converter) using this online calculator? To use this online calculator 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. Here is how the RMS Output Current for Step down Chopper (Buck Converter) calculation can be explained with given input values -> 1.870829 = sqrt(0.56)*(100/40).

FAQ

What is RMS Output Current for Step down Chopper (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 and is represented as I_rms = sqrt(d)*(V_s/R) or RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance). A Duty Cycle or power cycle is the fraction of one period in which a signal or system is active, Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper & Resistance is defined as the resistance experienced by either the source or load connected to the circuit.

How to calculate RMS Output Current for Step down Chopper (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 is calculated using RMS Current = sqrt(Duty Cycle)*(Source Voltage/Resistance). To calculate RMS Output Current for Step down Chopper (Buck Converter), you need Duty Cycle (d), Source Voltage (V_s) & Resistance (R). With our tool, you need to enter the respective value for Duty Cycle, Source Voltage & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search