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Capacitor Voltage of Resonant Converter Formula

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Capacitor Voltage in a resonant converter is the voltage across the resonant capacitor. Check FAQs

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

V_c - Capacitor Voltage?V_s - Source Voltage?ω - Angular Frequency?t - Time Period?

Capacitor Voltage of Resonant Converter Example

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Here is how the Capacitor Voltage of Resonant Converter equation looks like with Values.

Here is how the Capacitor Voltage of Resonant Converter equation looks like with Units.

Here is how the Capacitor Voltage of Resonant Converter equation looks like.

1.7969 = 2.53 \cdot (1 - \cos (3.78 \cdot 2))

1.7969V = 2.53V \cdot (1 - \cos (3.78rad/s \cdot 2s))

1.7969 = 2.53 \cdot (1 - \cos (3.78 \cdot 2))

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Capacitor Voltage of Resonant Converter Solution

Follow our step by step solution on how to calculate Capacitor Voltage of Resonant Converter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V c = 2.53V \cdot (1 - \cos (3.78rad/s \cdot 2s))

Next Step Prepare to Evaluate

∴

V c = 2.53 \cdot (1 - \cos (3.78 \cdot 2))

Next Step Evaluate

∴

V c = 1.79689372841161V

LAST Step Rounding Answer

∴

V c = 1.7969V

Capacitor Voltage of Resonant Converter Formula Elements

Variables

Functions

Capacitor Voltage

Capacitor Voltage in a resonant converter is the voltage across the resonant capacitor.

Symbol: V_c

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Capacitor Voltage

Source Voltage

Source Voltage resonant converter (SVRC) is a type of dc-dc converter that uses a resonant circuit to achieve zero voltage switching (ZVS) of the switching devices.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Source Voltage

Angular Frequency

Angular Frequency of a resonant converter is the frequency at which the resonant circuit of the converter oscillates.

Symbol: ω

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Time Period

Time Period of a resonant converter is the time it takes for the resonant circuit to complete one full oscillation.

Symbol: t

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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 Peak Voltage of Resonant Converter

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

Go LLC Series Frequency of Resonant Converter

F series = \frac{1}{(2 \cdot π) \cdot \sqrt{(L + L r(||)) \cdot C r}}

How to Evaluate Capacitor Voltage of Resonant Converter?

Capacitor Voltage of Resonant Converter evaluator uses Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)) to evaluate the Capacitor Voltage, Capacitor Voltage of Resonant Converter is the voltage across the resonant capacitor in the converter. It is an important parameter in the design and operation of resonant converters, as it affects the efficiency, power handling capability, and EMI performance of the converter. The capacitor voltage in a resonant converter is typically sinusoidal, and its amplitude is determined by the resonant frequency, the input voltage, and the load current. The capacitor voltage is also affected by the switching frequency of the converter, but this effect is typically small. Capacitor Voltage is denoted by V_c symbol.

How to evaluate Capacitor Voltage of Resonant Converter using this online evaluator? To use this online evaluator for Capacitor Voltage of Resonant Converter, enter Source Voltage (V_s), Angular Frequency (ω) & Time Period (t) and hit the calculate button.

FAQs on Capacitor Voltage of Resonant Converter

What is the formula to find Capacitor Voltage of Resonant Converter?

The formula of Capacitor Voltage of Resonant Converter is expressed as Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)). Here is an example- 1.796894 = 2.53*(1-cos(3.78*2)).

How to calculate Capacitor Voltage of Resonant Converter?

With Source Voltage (V_s), Angular Frequency (ω) & Time Period (t) we can find Capacitor Voltage of Resonant Converter using the formula - Capacitor Voltage = Source Voltage*(1-cos(Angular Frequency*Time Period)). This formula also uses Cosine (cos) function(s).

Can the Capacitor Voltage of Resonant Converter be negative?

No, the Capacitor Voltage of Resonant Converter, measured in Electric Potential cannot be negative.

Which unit is used to measure Capacitor Voltage of Resonant Converter?

Capacitor Voltage of Resonant Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which Capacitor Voltage of Resonant Converter can be measured.

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Capacitor Voltage of Resonant Converter Formula

Capacitor Voltage of Resonant Converter Example

Capacitor Voltage of Resonant Converter Solution

Capacitor Voltage of Resonant Converter Formula Elements

Other formulas in Resonant Converters category

How to Evaluate Capacitor Voltage of Resonant Converter?

FAQs on Capacitor Voltage of Resonant Converter

Variable Name