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Output Voltage for Boost Regulator (DCM) Formula

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

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

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

Output Voltage for Boost Regulator (DCM) Example

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

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

Here is how the Output Voltage for Boost Regulator (DCM) equation looks like.

10.006 = 9.71 + (\frac{{9.71}^{2} \cdot {0.0359}^{2} \cdot 4.063}{2 \cdot 0.4191 \cdot 1.9899})

10.006V = 9.71V + (\frac{{9.71V}^{2} \cdot {0.0359}^{2} \cdot 4.063s}{2 \cdot 0.4191H \cdot 1.9899A})

10.006 = 9.71 + (\frac{{9.71}^{2} \cdot {0.0359}^{2} \cdot 4.063}{2 \cdot 0.4191 \cdot 1.9899})

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Output Voltage for Boost Regulator (DCM) Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V o(bo_dcm) = 9.71V + (\frac{{9.71V}^{2} \cdot {0.0359}^{2} \cdot 4.063s}{2 \cdot 0.4191H \cdot 1.9899A})

Next Step Prepare to Evaluate

∴

V o(bo_dcm) = 9.71 + (\frac{{9.71}^{2} \cdot {0.0359}^{2} \cdot 4.063}{2 \cdot 0.4191 \cdot 1.9899})

Next Step Evaluate

∴

V o(bo_dcm) = 10.0060024261941V

LAST Step Rounding Answer

∴

V o(bo_dcm) = 10.006V

Output Voltage for Boost Regulator (DCM) Formula Elements

Variables

Output Voltage of Boost DCM

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

Symbol: V_{o(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage of Boost DCM

Input Voltage of Boost DCM

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

Symbol: V_{i(bo_dcm)}

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Input Voltage of Boost DCM

Duty Cycle of Boost DCM

A Duty Cycle of Boost 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_{bo_dcm}

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Duty Cycle of Boost DCM

Time Commutation of Boost DCM

The Time Commutation of 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(bo_dcm)}

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Commutation of Boost DCM

Critical Inductance of Boost DCM

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

Symbol: L_{x(bo_dcm)}

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Critical Inductance of Boost DCM

Output Current of Boost DCM

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

Symbol: i_{o(bo_dcm)}

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Output Current of Boost DCM

Other formulas in Discontinuous Conduction Mode category

Go Duty Cycle for Boost Regulator (DCM)

D bo_dcm = \sqrt{(2 \cdot L x(bo_dcm) \cdot \frac{i o(bo_dcm)}{V i(bo_dcm) \cdot t c(bo_dcm)}) \cdot ((\frac{V o(bo_dcm)}{V i(bo_dcm)}) - 1)}

Go Commutation Period for Boost Regulator (DCM)

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

Go Inductor Value for Boost Regulator (DCM)

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

Go Output Current for Boost Regulator (DCM)

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

How to Evaluate Output Voltage for Boost Regulator (DCM)?

Output Voltage for Boost Regulator (DCM) evaluator uses Output Voltage of Boost DCM = Input Voltage of Boost DCM+((Input Voltage of Boost DCM^2*Duty Cycle of Boost DCM^2*Time Commutation of Boost DCM)/(2*Critical Inductance of Boost DCM*Output Current of Boost DCM)) to evaluate the Output Voltage of Boost DCM, The Output Voltage for Boost Regulator (DCM) formula is defined as the voltage released by a device, such as a voltage regulator or a generator. Output Voltage of Boost DCM is denoted by V_{o(bo_dcm)} symbol.

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

FAQs on Output Voltage for Boost Regulator (DCM)

What is the formula to find Output Voltage for Boost Regulator (DCM)?

The formula of Output Voltage for Boost Regulator (DCM) is expressed as Output Voltage of Boost DCM = Input Voltage of Boost DCM+((Input Voltage of Boost DCM^2*Duty Cycle of Boost DCM^2*Time Commutation of Boost DCM)/(2*Critical Inductance of Boost DCM*Output Current of Boost DCM)). Here is an example- 10.00748 = 9.71+((9.71^2*0.0359^2*4.063)/(2*0.4191*1.9899)).

How to calculate Output Voltage for Boost Regulator (DCM)?

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

Can the Output Voltage for Boost Regulator (DCM) be negative?

No, the Output Voltage for Boost Regulator (DCM), measured in Electric Potential cannot be negative.

Which unit is used to measure Output Voltage for Boost Regulator (DCM)?

Output Voltage for Boost Regulator (DCM) is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Output Voltage for Boost Regulator (DCM) can be measured.

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Output Voltage for Boost Regulator (DCM) Formula

Output Voltage for Boost Regulator (DCM) Example

Output Voltage for Boost Regulator (DCM) Solution

Output Voltage for Boost Regulator (DCM) Formula Elements

Other formulas in Discontinuous Conduction Mode category

How to Evaluate Output Voltage for Boost Regulator (DCM)?

FAQs on Output Voltage for Boost Regulator (DCM)

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