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Critical Value of Capacitor for Buck Regulator Formula

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Critical Capacitance in Buck is minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation. Check FAQs

C x(bu) = \frac{1 - D}{16 \cdot L x \cdot f^{2}}

C_x(bu) - Critical Capacitance in Buck?D - Duty Cycle?L_x - Critical Inductance?f - Frequency?

Critical Value of Capacitor for Buck Regulator Example

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Here is how the Critical Value of Capacitor for Buck Regulator equation looks like with Values.

Here is how the Critical Value of Capacitor for Buck Regulator equation looks like with Units.

Here is how the Critical Value of Capacitor for Buck Regulator equation looks like.

356.6913 = \frac{1 - 0.21}{16 \cdot 0.113 \cdot 35^{2}}

356.6913μF = \frac{1 - 0.21}{16 \cdot 0.113H \cdot {35Hz}^{2}}

356.6913 = \frac{1 - 0.21}{16 \cdot 0.113 \cdot 35^{2}}

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Critical Value of Capacitor for Buck Regulator Solution

Follow our step by step solution on how to calculate Critical Value of Capacitor for Buck Regulator?

FIRST Step Consider the formula

C x(bu) = \frac{1 - D}{16 \cdot L x \cdot f^{2}}

Next Step Substitute values of Variables

∴

C x(bu) = \frac{1 - 0.21}{16 \cdot 0.113H \cdot {35Hz}^{2}}

Next Step Prepare to Evaluate

∴

C x(bu) = \frac{1 - 0.21}{16 \cdot 0.113 \cdot 35^{2}}

Next Step Evaluate

∴

C x(bu) = 0.000356691349106014F

Next Step Convert to Output's Unit

∴

C x(bu) = 356.691349106014μF

LAST Step Rounding Answer

∴

C x(bu) = 356.6913μF

Critical Value of Capacitor for Buck Regulator Formula Elements

Variables

Critical Capacitance in Buck

Critical Capacitance in Buck is minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation.

Symbol: C_x(bu)

Measurement: CapacitanceUnit: μF

Note: Value should be greater than 0.

Formulas to find Critical Capacitance in Buck

Duty Cycle

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

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle

Critical Inductance

Critical Inductance refers to the minimum value of the inductance required in these converters to maintain continuous conduction mode (CCM) or continuous current flow through the inductor.

Symbol: L_x

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance

Frequency

Frequency is the frequency at which a voltage regulator circuit or system tends to oscillate in the absence of any driving or damping force.

Symbol: f

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Frequency

Other formulas in Buck Regulator category

Go Critical Value of Inductor for Buck Regulator

L x = \frac{(1 - D) \cdot R}{2 \cdot f}

How to Evaluate Critical Value of Capacitor for Buck Regulator?

Critical Value of Capacitor for Buck Regulator evaluator uses Critical Capacitance in Buck = (1-Duty Cycle)/(16*Critical Inductance*Frequency^2) to evaluate the Critical Capacitance in Buck, The Critical value of capacitor for Buck regulator formula is defined as the minimum value of capacitance in order to have a continuous current in the inductor and, therefore, maintain good regulation. Critical Capacitance in Buck is denoted by C_x(bu) symbol.

How to evaluate Critical Value of Capacitor for Buck Regulator using this online evaluator? To use this online evaluator for Critical Value of Capacitor for Buck Regulator, enter Duty Cycle (D), Critical Inductance (L_x) & Frequency (f) and hit the calculate button.

FAQs on Critical Value of Capacitor for Buck Regulator

What is the formula to find Critical Value of Capacitor for Buck Regulator?

The formula of Critical Value of Capacitor for Buck Regulator is expressed as Critical Capacitance in Buck = (1-Duty Cycle)/(16*Critical Inductance*Frequency^2). Here is an example- 3.6E+8 = (1-0.21)/(16*0.113*35^2).

How to calculate Critical Value of Capacitor for Buck Regulator?

With Duty Cycle (D), Critical Inductance (L_x) & Frequency (f) we can find Critical Value of Capacitor for Buck Regulator using the formula - Critical Capacitance in Buck = (1-Duty Cycle)/(16*Critical Inductance*Frequency^2).

Can the Critical Value of Capacitor for Buck Regulator be negative?

No, the Critical Value of Capacitor for Buck Regulator, measured in Capacitance cannot be negative.

Which unit is used to measure Critical Value of Capacitor for Buck Regulator?

Critical Value of Capacitor for Buck Regulator is usually measured using the Microfarad[μF] for Capacitance. Farad[μF], Kilofarad[μF], Millifarad[μF] are the few other units in which Critical Value of Capacitor for Buck Regulator can be measured.

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Critical Value of Capacitor for Buck Regulator Formula

Critical Value of Capacitor for Buck Regulator Example

Critical Value of Capacitor for Buck Regulator Solution

Critical Value of Capacitor for Buck Regulator Formula Elements

Other formulas in Buck Regulator category

How to Evaluate Critical Value of Capacitor for Buck Regulator?

FAQs on Critical Value of Capacitor for Buck Regulator

Variable Name