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Resonant Tank Current of Resonant Converter Formula

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Resonant Tank Current is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance. Check FAQs

I r = \frac{π}{2} \cdot \frac{I out}{n} \cdot \sin (2 \cdot π \cdot F sw \cdot t)

I_r - Resonant Tank Current?I_out - Output Current?n - Turn Ratio?F_sw - Switching Frequency?t - Time Period?π - Archimedes' constant?

Resonant Tank Current of Resonant Converter Example

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Here is how the Resonant Tank Current of Resonant Converter equation looks like with Values.

Here is how the Resonant Tank Current of Resonant Converter equation looks like with Units.

Here is how the Resonant Tank Current of Resonant Converter equation looks like.

1.0941 = \frac{3.1416}{2} \cdot \frac{14.22}{12} \cdot \sin (2 \cdot 3.1416 \cdot 14.2 \cdot 2)

1.0941A = \frac{3.1416}{2} \cdot \frac{14.22A}{12} \cdot \sin (2 \cdot 3.1416 \cdot 14.2Hz \cdot 2s)

1.0941 = \frac{3.1416}{2} \cdot \frac{14.22}{12} \cdot \sin (2 \cdot 3.1416 \cdot 14.2 \cdot 2)

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Resonant Tank Current of Resonant Converter Solution

Follow our step by step solution on how to calculate Resonant Tank Current of Resonant Converter?

FIRST Step Consider the formula

I r = \frac{π}{2} \cdot \frac{I out}{n} \cdot \sin (2 \cdot π \cdot F sw \cdot t)

Next Step Substitute values of Variables

∴

I r = \frac{π}{2} \cdot \frac{14.22A}{12} \cdot \sin (2 \cdot π \cdot 14.2Hz \cdot 2s)

Next Step Substitute values of Constants

∴

I r = \frac{3.1416}{2} \cdot \frac{14.22A}{12} \cdot \sin (2 \cdot 3.1416 \cdot 14.2Hz \cdot 2s)

Next Step Prepare to Evaluate

∴

I r = \frac{3.1416}{2} \cdot \frac{14.22}{12} \cdot \sin (2 \cdot 3.1416 \cdot 14.2 \cdot 2)

Next Step Evaluate

∴

I r = 1.09409973456563A

LAST Step Rounding Answer

∴

I r = 1.0941A

Resonant Tank Current of Resonant Converter Formula Elements

Variables

Constants

Functions

Resonant Tank Current

Resonant Tank Current is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance.

Symbol: I_r

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Resonant Tank Current

Output Current

Output Current resonant current in the context of resonant converters refers to the current that flows through the output resonant circuit of the converter.

Symbol: I_out

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Output Current

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

Switching Frequency

Switching Frequency resonant converter is a type of resonant converter that operates at the resonant frequency of the switch network.

Symbol: F_sw

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Switching 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

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(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 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 Resonant Tank Current of Resonant Converter?

Resonant Tank Current of Resonant Converter evaluator uses Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period) to evaluate the Resonant Tank Current, Resonant Tank Current of Resonant Converter is the current that flows through the resonant tank circuit of the converter. The resonant tank circuit is typically composed of an inductor and a capacitor, and it is used to filter the high-frequency switching noise from the output voltage and to provide a high-impedance path for the harmonics of the switching frequency. The resonant tank current is typically sinusoidal in shape, and its frequency is equal to the resonant frequency of the tank circuit. The amplitude of the resonant tank current is determined by the input voltage, the output voltage, the duty cycle, the output impedance, and the load current. The parasitic resistances and inductances in the resonant tank circuit also affect the resonant tank current, but to a lesser extent. Resonant Tank Current is denoted by I_r symbol.

How to evaluate Resonant Tank Current of Resonant Converter using this online evaluator? To use this online evaluator for Resonant Tank Current of Resonant Converter, enter Output Current (I_out), Turn Ratio (n), Switching Frequency (F_sw) & Time Period (t) and hit the calculate button.

FAQs on Resonant Tank Current of Resonant Converter

What is the formula to find Resonant Tank Current of Resonant Converter?

The formula of Resonant Tank Current of Resonant Converter is expressed as Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period). Here is an example- 1.0941 = pi/2*14.22/12*sin(2*pi*14.2*2).

How to calculate Resonant Tank Current of Resonant Converter?

With Output Current (I_out), Turn Ratio (n), Switching Frequency (F_sw) & Time Period (t) we can find Resonant Tank Current of Resonant Converter using the formula - Resonant Tank Current = pi/2*Output Current/Turn Ratio*sin(2*pi*Switching Frequency*Time Period). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Resonant Tank Current of Resonant Converter be negative?

No, the Resonant Tank Current of Resonant Converter, measured in Electric Current cannot be negative.

Which unit is used to measure Resonant Tank Current of Resonant Converter?

Resonant Tank Current of Resonant Converter is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Resonant Tank Current of Resonant Converter can be measured.

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Resonant Tank Current of Resonant Converter Formula

Resonant Tank Current of Resonant Converter Example

Resonant Tank Current of Resonant Converter Solution

Resonant Tank Current of Resonant Converter Formula Elements

Other formulas in Resonant Converters category

How to Evaluate Resonant Tank Current of Resonant Converter?

FAQs on Resonant Tank Current of Resonant Converter

Variable Name