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Output Current for Buck-Boost Regulator (DCM) Formula

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

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

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

Output Current for Buck-Boost Regulator (DCM) Example

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

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

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

1.853 = - {9.72}^{2} \cdot {0.22}^{2} \cdot \frac{5}{2 \cdot 13.5 \cdot 0.457}

1.853A = - {9.72V}^{2} \cdot {0.22}^{2} \cdot \frac{5s}{2 \cdot 13.5V \cdot 0.457H}

1.853 = - {9.72}^{2} \cdot {0.22}^{2} \cdot \frac{5}{2 \cdot 13.5 \cdot 0.457}

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Output Current for Buck-Boost Regulator (DCM) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

i o(bb_dcm) = - {9.72V}^{2} \cdot {0.22}^{2} \cdot \frac{5s}{2 \cdot 13.5V \cdot 0.457H}

Next Step Prepare to Evaluate

∴

i o(bb_dcm) = - {9.72}^{2} \cdot {0.22}^{2} \cdot \frac{5}{2 \cdot 13.5 \cdot 0.457}

Next Step Evaluate

∴

i o(bb_dcm) = 1.85296805251641A

LAST Step Rounding Answer

∴

i o(bb_dcm) = 1.853A

Output Current for Buck-Boost Regulator (DCM) Formula Elements

Variables

Output Current of Buck Boost DCM

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

Symbol: i_{o(bb_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Buck Boost DCM

Open Variable

Input Voltage of Buck Boost DCM

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

Symbol: V_{i(bb_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Buck Boost DCM

Open Variable

Duty Cycle of Buck Boost DCM

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

Symbol: D_{bb_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Buck Boost DCM

Open Variable

Time Commutation of Buck Boost DCM

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

Symbol: t_{c(bb_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Buck Boost DCM

Open Variable

Output Voltage of Buck Boost DCM

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

Symbol: V_{o(bb_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Buck Boost DCM

Open Variable

Critical Inductance of Buck Boost DCM

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

Symbol: L_{x(bb_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Buck Boost DCM

Open Variable

Other formulas in Discontinuous Conduction Mode category

Go Output Voltage for Buck-Boost Regulator (DCM)

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

Go Inductor Value for Buck-Boost Regulator (DCM)

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

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

Output Current for Buck-Boost Regulator (DCM) evaluator uses Output Current of Buck Boost DCM = -Input Voltage of Buck Boost DCM^2*Duty Cycle of Buck Boost DCM^2*Time Commutation of Buck Boost DCM/(2*Output Voltage of Buck Boost DCM*Critical Inductance of Buck Boost DCM) to evaluate the Output Current of Buck Boost DCM, The Output Current for Buck-Boost Regulator (DCM) formula is defined as the maximum current that can be supplied to the load. Output Current of Buck Boost DCM is denoted by i_{o(bb_dcm)} symbol.

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

FAQs on Output Current for Buck-Boost Regulator (DCM)

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

The formula of Output Current for Buck-Boost Regulator (DCM) is expressed as Output Current of Buck Boost DCM = -Input Voltage of Buck Boost DCM^2*Duty Cycle of Buck Boost DCM^2*Time Commutation of Buck Boost DCM/(2*Output Voltage of Buck Boost DCM*Critical Inductance of Buck Boost DCM). Here is an example- 2.81331 = -9.72^2*0.22^2*5/(2*13.5*0.457).

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

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

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

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

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

Output Current for Buck-Boost 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-Boost Regulator (DCM) can be measured.

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