Capacitor Voltage of Buck Converter Calculator

✖Capacitance is a Fundamental Electrical Property of a Component Called a Capacitor to Store Electrical Energy. Capacitors in a Chopper Circuit are Used to Smooth Out Voltage Variations.ⓘ Capacitance [C]			+10% -10%
✖Current Across Capacitor is Defined as the current flowing through a capacitor in an electrical circuit.ⓘ Current Across Capacitor [i_C]			+10% -10%
✖Initial Capacitor Voltage Represents the Initial Voltage across a Capacitor in an Electrical Circuit. It refers to the Voltage Already Present across the Capacitor before the Circuit Operation Begins.ⓘ Initial Capacitor Voltage [V_C]			+10% -10%

✖Capacitor Voltage refers to the Voltage Applied Across the Capacitor Terminals. This Voltage Varies Depending on the Operating Conditions of the Circuit and the Charge Stored on the Capacitor.ⓘ Capacitor Voltage of Buck Converter [V_cap]

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Formula

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Capacitor Voltage of Buck Converter

Formula

`"V"_{"cap"} = (1/"C")*int("i"_{"C"}*x,x,0,1)+"V"_{"C"}`

Example

`"4.832692V"=(1/"2.34F")*int("2.376A"*x,x,0,1)+"4.325V"`

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Capacitor Voltage of Buck Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Capacitor Voltage = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage
V_cap = (1/C)*int(i_C*x,x,0,1)+V_C
This formula uses 1 Functions, 4 Variables

Functions Used

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., int(expr, arg, from, to)

Variables Used

Capacitor Voltage - (Measured in Volt) - Capacitor Voltage refers to the Voltage Applied Across the Capacitor Terminals. This Voltage Varies Depending on the Operating Conditions of the Circuit and the Charge Stored on the Capacitor.
Capacitance - (Measured in Farad) - Capacitance is a Fundamental Electrical Property of a Component Called a Capacitor to Store Electrical Energy. Capacitors in a Chopper Circuit are Used to Smooth Out Voltage Variations.
Current Across Capacitor - (Measured in Ampere) - Current Across Capacitor is Defined as the current flowing through a capacitor in an electrical circuit.
Initial Capacitor Voltage - (Measured in Volt) - Initial Capacitor Voltage Represents the Initial Voltage across a Capacitor in an Electrical Circuit. It refers to the Voltage Already Present across the Capacitor before the Circuit Operation Begins.

STEP 1: Convert Input(s) to Base Unit

Capacitance: 2.34 Farad --> 2.34 Farad No Conversion Required
Current Across Capacitor: 2.376 Ampere --> 2.376 Ampere No Conversion Required
Initial Capacitor Voltage: 4.325 Volt --> 4.325 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_cap = (1/C)*int(i_C*x,x,0,1)+V_C --> (1/2.34)*int(2.376*x,x,0,1)+4.325

Evaluating ... ...

V_cap = 4.83269230769231

STEP 3: Convert Result to Output's Unit

4.83269230769231 Volt --> No Conversion Required

FINAL ANSWER

4.83269230769231 ≈ 4.832692 Volt <-- Capacitor Voltage

(Calculation completed in 00.020 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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< 10+ Step Up/Step Down Chopper Calculators

Input Power for Step down Chopper

Go Input Power Buck Converter = (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 Capacitor Voltage = (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 Buck Converter = sqrt(Duty Cycle)*(Source Voltage/Resistance)

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

Go Average Load Voltage StepUp/Down Chopper = Source Voltage*(Duty Cycle/(1-Duty Cycle))

Average Output Current for Step down Chopper (Buck Converter)

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

Output Power Step down Chopper (Buck Converter)

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

Average Load Voltage Step down Chopper (Buck Converter)

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

RMS Load Voltage for Step down Chopper (Buck Converter)

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

Average Load Voltage for Step up Chopper (Boost Converter)

Go Average Load Voltage Step Up Chopper = (1/(1-Duty Cycle))*Source Voltage

Average Load Voltage for Step down Chopper (Buck Converter)

Go Average Load Voltage Step Down Chopper = Duty Cycle*Source Voltage

Capacitor Voltage of Buck Converter Formula

Capacitor Voltage = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage
V_cap = (1/C)*int(i_C*x,x,0,1)+V_C

What Factors Influence the Capacitor Voltage in a Buck Converter Circuit?

Factors influencing the capacitor voltage in a buck converter circuit include the input voltage, output current, switching frequency, duty cycle, output capacitance, and load resistance. Understanding these factors is crucial for designing and optimizing buck converter circuits to achieve desired capacitor voltage characteristics for specific applications.

How to Calculate Capacitor Voltage of Buck Converter?

Capacitor Voltage of Buck Converter calculator uses Capacitor Voltage = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage to calculate the Capacitor Voltage, Capacitor Voltage of Buck Converter refers to the voltage across the output capacitor, which smoothens the output voltage by storing and releasing energy during the switching cycles of the converter, maintaining a stable output voltage. Capacitor Voltage is denoted by V_cap symbol.

How to calculate Capacitor Voltage of Buck Converter using this online calculator? To use this online calculator for Capacitor Voltage of Buck Converter, enter Capacitance (C), Current Across Capacitor (i_C) & Initial Capacitor Voltage (V_C) and hit the calculate button. Here is how the Capacitor Voltage of Buck Converter calculation can be explained with given input values -> 4.832692 = (1/2.34)*int(2.376*x,x,0,1)+4.325.

FAQ

What is Capacitor Voltage of Buck Converter?

Capacitor Voltage of Buck Converter refers to the voltage across the output capacitor, which smoothens the output voltage by storing and releasing energy during the switching cycles of the converter, maintaining a stable output voltage and is represented as V_cap = (1/C)*int(i_C*x,x,0,1)+V_C or Capacitor Voltage = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage. Capacitance is a Fundamental Electrical Property of a Component Called a Capacitor to Store Electrical Energy. Capacitors in a Chopper Circuit are Used to Smooth Out Voltage Variations, Current Across Capacitor is Defined as the current flowing through a capacitor in an electrical circuit & Initial Capacitor Voltage Represents the Initial Voltage across a Capacitor in an Electrical Circuit. It refers to the Voltage Already Present across the Capacitor before the Circuit Operation Begins.

How to calculate Capacitor Voltage of Buck Converter?

Capacitor Voltage of Buck Converter refers to the voltage across the output capacitor, which smoothens the output voltage by storing and releasing energy during the switching cycles of the converter, maintaining a stable output voltage is calculated using Capacitor Voltage = (1/Capacitance)*int(Current Across Capacitor*x,x,0,1)+Initial Capacitor Voltage. To calculate Capacitor Voltage of Buck Converter, you need Capacitance (C), Current Across Capacitor (i_C) & Initial Capacitor Voltage (V_C). With our tool, you need to enter the respective value for Capacitance, Current Across Capacitor & Initial Capacitor Voltage and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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