Critical Capacitance Calculator

✖Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit.ⓘ Output Current [I_out]			+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%
✖Maximum Frequency of sound in a given medium depends on the properties of that medium.ⓘ Maximum Frequency [f_max]			+10% -10%

✖Critical Capacitance it is measured by the charge in response to a difference in electric potential, expressed as the ratio of those quantities.ⓘ Critical Capacitance [C_o]

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Formula

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Critical Capacitance

Formula

`"C"_{"o"} = ("I"_{"out"}/(2*"V"_{"s"}))*(1/"f"_{"max"})`

Example

`"0.001126F"=("0.5A"/(2*"100V"))*(1/"2.22Hz")`

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Critical Capacitance Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)
C_o = (I_out/(2*V_s))*(1/f_max)
This formula uses 4 Variables

Variables Used

Critical Capacitance - (Measured in Farad) - Critical Capacitance it is measured by the charge in response to a difference in electric potential, expressed as the ratio of those quantities.
Output Current - (Measured in Ampere) - Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit.
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.
Maximum Frequency - (Measured in Hertz) - Maximum Frequency of sound in a given medium depends on the properties of that medium.

STEP 1: Convert Input(s) to Base Unit

Output Current: 0.5 Ampere --> 0.5 Ampere No Conversion Required
Source Voltage: 100 Volt --> 100 Volt No Conversion Required
Maximum Frequency: 2.22 Hertz --> 2.22 Hertz No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_o = (I_out/(2*V_s))*(1/f_max) --> (0.5/(2*100))*(1/2.22)

Evaluating ... ...

C_o = 0.00112612612612613

STEP 3: Convert Result to Output's Unit

0.00112612612612613 Farad --> No Conversion Required

FINAL ANSWER

0.00112612612612613 ≈ 0.001126 Farad <-- Critical Capacitance

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Choppers » Chopper Core Factors » Critical Capacitance

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Created by Mohamed Fazil V

Acharya institute of technology (AIT), Bengaluru

Mohamed Fazil V has created this Calculator and 50+ more calculators!

Verified by Aman Dhussawat

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

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< 13 Chopper Core Factors Calculators

Excess Work Due to Thyristor 1 in Chopper Circuit

Go Excess Work = 0.5*Limiting Inductance*((Output Current+(Reverse Recovery Time*Capacitor Commutation Voltage)/Limiting Inductance)-Output Current^2)

Critical Inductance

Go Inductance = Load Voltage^2*((Source Voltage-Load Voltage)/(2*Chopping Frequency*Source Voltage*Load Power))

Energy Released by Inductor to Load

Go Energy Released = (Output Voltage-Input Voltage)*((Current 1+Current 2)/2)*Circuit Turn Off Time

Peak to Peak Ripple Voltage of Capacitor

Go Ripple Voltage in Buck Converter = (1/Capacitance)*int((Change in Current/4)*x,x,0,Time/2)

Energy Input to Inductor from Source

Go Energy Input = Source Voltage*((Current 1+Current 2)/2)*Chopper On Time

Critical Capacitance

Go Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)

Maximum Ripple Current Resistive Load

Go Ripple Current = Source Voltage/(4*Inductance*Chopping Frequency)

AC Ripple Voltage

Go Ripple Voltage = sqrt(RMS Voltage^2-Load Voltage^2)

Ripple Factor of DC Chopper

Go Ripple Factor = sqrt((1/Duty Cycle)-Duty Cycle)

Chopping Period

Go Chopping Period = Chopper On Time+Circuit Turn Off Time

Chopping Frequency

Go Chopping Frequency = Duty Cycle/Chopper On Time

Duty Cycle

Go Duty Cycle = Chopper On Time/Chopping Period

Effective Input Resistance

Go Input Resistance = Resistance/Duty Cycle

Critical Capacitance Formula

Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency)
C_o = (I_out/(2*V_s))*(1/f_max)

What is Critical capacitance?

Critical capacitance is the minimum capacitance required for a self-excited induction generator to generate voltage. It is also the minimum capacitance required to start a switched-mode power supply.

How to Calculate Critical Capacitance?

Critical Capacitance calculator uses Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency) to calculate the Critical Capacitance, The Critical Capacitance formula is defined as to find the capacitance of a system by the output current and source voltage with maximum frequency of the system. Critical Capacitance is denoted by C_o symbol.

How to calculate Critical Capacitance using this online calculator? To use this online calculator for Critical Capacitance, enter Output Current (I_out), Source Voltage (V_s) & Maximum Frequency (f_max) and hit the calculate button. Here is how the Critical Capacitance calculation can be explained with given input values -> 0.001126 = (0.5/(2*100))*(1/2.22).

FAQ

What is Critical Capacitance?

The Critical Capacitance formula is defined as to find the capacitance of a system by the output current and source voltage with maximum frequency of the system and is represented as C_o = (I_out/(2*V_s))*(1/f_max) or Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency). Output Current is defined as the average of a current over one complete cycle at the output terminal of the chopper based circuit, Source voltage is defined as the voltage or potential difference of the source which is supplying voltage to the chopper & Maximum Frequency of sound in a given medium depends on the properties of that medium.

How to calculate Critical Capacitance?

The Critical Capacitance formula is defined as to find the capacitance of a system by the output current and source voltage with maximum frequency of the system is calculated using Critical Capacitance = (Output Current/(2*Source Voltage))*(1/Maximum Frequency). To calculate Critical Capacitance, you need Output Current (I_out), Source Voltage (V_s) & Maximum Frequency (f_max). With our tool, you need to enter the respective value for Output Current, Source Voltage & Maximum Frequency 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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