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Equivalent Resistor of Resonant Converter Formula

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Equivalent Resistance of a resonant converter is a lumped-parameter model that is used to represent the losses in the resonant circuit. Check FAQs

R e = \frac{8 \cdot n^{2}}{π^{2}} \cdot R out

R_e - Equivalent Resistance?n - Turn Ratio?R_out - Output Resistance?π - Archimedes' constant?

Equivalent Resistor of Resonant Converter Example

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Here is how the Equivalent Resistor of Resonant Converter equation looks like with Values.

Here is how the Equivalent Resistor of Resonant Converter equation looks like with Units.

Here is how the Equivalent Resistor of Resonant Converter equation looks like.

2392.8011 = \frac{8 \cdot 12^{2}}{{3.1416}^{2}} \cdot 20.5

2392.8011Ω = \frac{8 \cdot 12^{2}}{{3.1416}^{2}} \cdot 20.5Ω

2392.8011 = \frac{8 \cdot 12^{2}}{{3.1416}^{2}} \cdot 20.5

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Equivalent Resistor of Resonant Converter Solution

Follow our step by step solution on how to calculate Equivalent Resistor of Resonant Converter?

FIRST Step Consider the formula

R e = \frac{8 \cdot n^{2}}{π^{2}} \cdot R out

Next Step Substitute values of Variables

∴

R e = \frac{8 \cdot 12^{2}}{π^{2}} \cdot 20.5Ω

Next Step Substitute values of Constants

∴

R e = \frac{8 \cdot 12^{2}}{{3.1416}^{2}} \cdot 20.5Ω

Next Step Prepare to Evaluate

∴

R e = \frac{8 \cdot 12^{2}}{{3.1416}^{2}} \cdot 20.5

Next Step Evaluate

∴

R e = 2392.80107289745Ω

LAST Step Rounding Answer

∴

R e = 2392.8011Ω

Equivalent Resistor of Resonant Converter Formula Elements

Variables

Constants

Equivalent Resistance

Equivalent Resistance of a resonant converter is a lumped-parameter model that is used to represent the losses in the resonant circuit.

Symbol: R_e

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Equivalent Resistance

Turn Ratio

Turn Ratio of a resonant converter is the ratio of the number of turns on the primary winding of the transformer to the number of turns on the secondary winding.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Turn Ratio

Output Resistance

Output Resistance of a resonant converter is a resistor that is placed in series with the output of the converter.

Symbol: R_out

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Output Resistance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Resonant Converters category

Go Diode Current of Resonant Converter

I d = I load - \frac{V s}{L} \cdot t

Go Inductor Current of Resonant Converter

I L = I load - I max \cdot \sin (ω) \cdot t

Go Capacitor Voltage of Resonant Converter

V c = V s \cdot (1 - \cos (ω \cdot t))

Go Peak Voltage of Resonant Converter

V max = V s + I load \cdot Z load

How to Evaluate Equivalent Resistor of Resonant Converter?

Equivalent Resistor of Resonant Converter evaluator uses Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance to evaluate the Equivalent Resistance, Equivalent Resistor of Resonant Converter is a lumped-parameter model that is used to represent the losses in the resonant circuit. It is typically represented by a single resistor that is placed in parallel with the resonant tank circuit. Equivalent resistor represents the losses in the resonant circuit, while output resistor is used to regulate the output voltage and protect the converter from overload conditions. Equivalent resistor reduces the efficiency of the converter, while output resistor can improve the performance and reliability of the converter. Equivalent Resistance is denoted by R_e symbol.

How to evaluate Equivalent Resistor of Resonant Converter using this online evaluator? To use this online evaluator for Equivalent Resistor of Resonant Converter, enter Turn Ratio (n) & Output Resistance (R_out) and hit the calculate button.

FAQs on Equivalent Resistor of Resonant Converter

What is the formula to find Equivalent Resistor of Resonant Converter?

The formula of Equivalent Resistor of Resonant Converter is expressed as Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance. Here is an example- 2392.801 = (8*12^2)/pi^2*20.5.

How to calculate Equivalent Resistor of Resonant Converter?

With Turn Ratio (n) & Output Resistance (R_out) we can find Equivalent Resistor of Resonant Converter using the formula - Equivalent Resistance = (8*Turn Ratio^2)/pi^2*Output Resistance. This formula also uses Archimedes' constant .

Can the Equivalent Resistor of Resonant Converter be negative?

No, the Equivalent Resistor of Resonant Converter, measured in Electric Resistance cannot be negative.

Which unit is used to measure Equivalent Resistor of Resonant Converter?

Equivalent Resistor of Resonant Converter is usually measured using the Ohm[Ω] for Electric Resistance. Megohm[Ω], Microhm[Ω], Volt per Ampere[Ω] are the few other units in which Equivalent Resistor of Resonant Converter can be measured.

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Equivalent Resistor of Resonant Converter Formula

Equivalent Resistor of Resonant Converter Example

Equivalent Resistor of Resonant Converter Solution

Equivalent Resistor of Resonant Converter Formula Elements

Other formulas in Resonant Converters category

How to Evaluate Equivalent Resistor of Resonant Converter?

FAQs on Equivalent Resistor of Resonant Converter

Variable Name