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Output Current for Buck Regulator (DCM) Formula

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Output Current of Buck DCM is the current the amplifier draws from the signal source. Check FAQs

i o(bu_dcm) = \frac{t c(bu_dcm) \cdot {D bu_dcm}^{2} \cdot V i(bu_dcm) \cdot (V i(bu_dcm) - V o(bu_dcm))}{2 \cdot L x(bu_dcm) \cdot V o(bu_dcm)}

i_{o(bu_dcm)} - Output Current of Buck DCM?t_{c(bu_dcm)} - Time Commutation of Buck DCM?D_{bu_dcm} - Duty Cycle of Buck DCM?V_{i(bu_dcm)} - Input Voltage of Buck DCM?V_{o(bu_dcm)} - Output Voltage of Buck DCM?L_{x(bu_dcm)} - Critical Inductance of Buck DCM?

Output Current for Buck Regulator (DCM) Example

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Here is how the Output Current for Buck Regulator (DCM) equation looks like with Values.

Here is how the Output Current for Buck Regulator (DCM) equation looks like with Units.

Here is how the Output Current for Buck Regulator (DCM) equation looks like.

2.1032 = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 0.3 \cdot 5.35}

2.1032A = \frac{4s \cdot {0.2}^{2} \cdot 9.7V \cdot (9.7V - 5.35V)}{2 \cdot 0.3H \cdot 5.35V}

2.1032 = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 0.3 \cdot 5.35}

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Output Current for Buck Regulator (DCM) Solution

Follow our step by step solution on how to calculate Output Current for Buck Regulator (DCM)?

FIRST Step Consider the formula

i o(bu_dcm) = \frac{t c(bu_dcm) \cdot {D bu_dcm}^{2} \cdot V i(bu_dcm) \cdot (V i(bu_dcm) - V o(bu_dcm))}{2 \cdot L x(bu_dcm) \cdot V o(bu_dcm)}

Next Step Substitute values of Variables

∴

i o(bu_dcm) = \frac{4s \cdot {0.2}^{2} \cdot 9.7V \cdot (9.7V - 5.35V)}{2 \cdot 0.3H \cdot 5.35V}

Next Step Prepare to Evaluate

∴

i o(bu_dcm) = \frac{4 \cdot {0.2}^{2} \cdot 9.7 \cdot (9.7 - 5.35)}{2 \cdot 0.3 \cdot 5.35}

Next Step Evaluate

∴

i o(bu_dcm) = 2.10317757009346A

LAST Step Rounding Answer

∴

i o(bu_dcm) = 2.1032A

Output Current for Buck Regulator (DCM) Formula Elements

Variables

Output Current of Buck DCM

Output Current of Buck DCM is the current the amplifier draws from the signal source.

Symbol: i_{o(bu_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Buck DCM

Open Variable

Time Commutation of Buck DCM

The Time Commutation of Buck DCM is the process of transferring current from one connection to another within an electric circuit such as voltage regulator circuit.

Symbol: t_{c(bu_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Buck DCM

Open Variable

Duty Cycle of Buck DCM

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

Symbol: D_{bu_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Buck DCM

Open Variable

Input Voltage of Buck DCM

Input Voltage of Buck DCM is the voltage supplied to the voltage regulator circuit.

Symbol: V_{i(bu_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Buck DCM

Open Variable

Output Voltage of Buck DCM

Output Voltage of Buck DCM signifies the voltage of the signal after it has been regulated by a voltage regulator circuit.

Symbol: V_{o(bu_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Buck DCM

Open Variable

Critical Inductance of Buck DCM

Critical Inductance of Buck DCM refers to the minimum value of the inductance required in these converters to maintain current flow through the inductor.

Symbol: L_{x(bu_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Buck DCM

Open Variable

Other formulas in Discontinuous Conduction Mode category

Go Inductor Value for Buck Regulator (DCM)

L x(bu_dcm) = \frac{t c(bu_dcm) \cdot {D bu_dcm}^{2} \cdot V i(bu_dcm) \cdot (V i(bu_dcm) - V o(bu_dcm))}{2 \cdot i o(bu_dcm) \cdot V o(bu_dcm)}

Go Output Voltage for Buck Regulator (DCM)

V o(bu_dcm) = \frac{V i(bu_dcm)}{1 + \frac{2 \cdot L x(bu_dcm) \cdot i o(bu_dcm)}{{D bu_dcm}^{2} \cdot V i(bu_dcm) \cdot t c(bu_dcm)}}

How to Evaluate Output Current for Buck Regulator (DCM)?

Output Current for Buck Regulator (DCM) evaluator uses Output Current of Buck DCM = (Time Commutation of Buck DCM*Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*(Input Voltage of Buck DCM-Output Voltage of Buck DCM))/(2*Critical Inductance of Buck DCM*Output Voltage of Buck DCM) to evaluate the Output Current of Buck DCM, The Output Current for Buck Regulator (DCM) formula is defined as the difference between input and output voltage multiplied by duty cycle, time taken, and with the sum of duty cycle and delta then divided by twice of inductance. Output Current of Buck DCM is denoted by i_{o(bu_dcm)} symbol.

How to evaluate Output Current for Buck Regulator (DCM) using this online evaluator? To use this online evaluator for Output Current for Buck Regulator (DCM), enter Time Commutation of Buck DCM (t_{c(bu_dcm)}), Duty Cycle of Buck DCM (D_{bu_dcm}), Input Voltage of Buck DCM (V_{i(bu_dcm)}), Output Voltage of Buck DCM (V_{o(bu_dcm)}) & Critical Inductance of Buck DCM (L_{x(bu_dcm)}) and hit the calculate button.

FAQs on Output Current for Buck Regulator (DCM)

What is the formula to find Output Current for Buck Regulator (DCM)?

The formula of Output Current for Buck Regulator (DCM) is expressed as Output Current of Buck DCM = (Time Commutation of Buck DCM*Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*(Input Voltage of Buck DCM-Output Voltage of Buck DCM))/(2*Critical Inductance of Buck DCM*Output Voltage of Buck DCM). Here is an example- 2.000293 = (4*0.2^2*9.7*(9.7-5.35))/(2*0.3*5.35).

How to calculate Output Current for Buck Regulator (DCM)?

With Time Commutation of Buck DCM (t_{c(bu_dcm)}), Duty Cycle of Buck DCM (D_{bu_dcm}), Input Voltage of Buck DCM (V_{i(bu_dcm)}), Output Voltage of Buck DCM (V_{o(bu_dcm)}) & Critical Inductance of Buck DCM (L_{x(bu_dcm)}) we can find Output Current for Buck Regulator (DCM) using the formula - Output Current of Buck DCM = (Time Commutation of Buck DCM*Duty Cycle of Buck DCM^2*Input Voltage of Buck DCM*(Input Voltage of Buck DCM-Output Voltage of Buck DCM))/(2*Critical Inductance of Buck DCM*Output Voltage of Buck DCM).

Can the Output Current for Buck Regulator (DCM) be negative?

Yes, the Output Current for Buck Regulator (DCM), measured in Electric Current can be negative.

Which unit is used to measure Output Current for Buck Regulator (DCM)?

Output Current for Buck Regulator (DCM) is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Output Current for Buck Regulator (DCM) can be measured.

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