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Time when Current becomes Maximum for Unidirectional Switches Formula

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Time when current is maximum is referring to the current in series resonant inverter. Check FAQs

t r = (\frac{1}{f ο}) \cdot a \tan (\frac{f ο \cdot 2 \cdot L}{R})

t_r - Time?f_ο - Resonant Frequency?L - Inductance?R - Resistance?

Time when Current becomes Maximum for Unidirectional Switches Example

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Here is how the Time when Current becomes Maximum for Unidirectional Switches equation looks like with Values.

Here is how the Time when Current becomes Maximum for Unidirectional Switches equation looks like with Units.

Here is how the Time when Current becomes Maximum for Unidirectional Switches equation looks like.

0.033 = (\frac{1}{24}) \cdot a \tan (\frac{24 \cdot 2 \cdot 0.57}{27})

0.033s = (\frac{1}{24Hz}) \cdot a \tan (\frac{24Hz \cdot 2 \cdot 0.57H}{27Ω})

0.033 = (\frac{1}{24}) \cdot a \tan (\frac{24 \cdot 2 \cdot 0.57}{27})

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Time when Current becomes Maximum for Unidirectional Switches Solution

Follow our step by step solution on how to calculate Time when Current becomes Maximum for Unidirectional Switches?

FIRST Step Consider the formula

t r = (\frac{1}{f ο}) \cdot a \tan (\frac{f ο \cdot 2 \cdot L}{R})

Next Step Substitute values of Variables

∴

t r = (\frac{1}{24Hz}) \cdot a \tan (\frac{24Hz \cdot 2 \cdot 0.57H}{27Ω})

Next Step Prepare to Evaluate

∴

t r = (\frac{1}{24}) \cdot a \tan (\frac{24 \cdot 2 \cdot 0.57}{27})

Next Step Evaluate

∴

t r = 0.0330008576308382s

LAST Step Rounding Answer

∴

t r = 0.033s

Time when Current becomes Maximum for Unidirectional Switches Formula Elements

Variables

Functions

Time

Time when current is maximum is referring to the current in series resonant inverter.

Symbol: t_r

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

Resonant Frequency

Resonant frequency is the frequency at which there is exchange of energy stored in an electric field to energy stored in a magnetic field.

Symbol: f_ο

Measurement: FrequencyUnit: Hz

Note: Value should be greater than 0.

Formulas to find Resonant Frequency

Inductance

Inductance is the tendency of an electric conductor to oppose a change in the electric current flowing through a inverter based circuit.

Symbol: L

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Inductance

Resistance

Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other formulas in Series Resonant Inverter category

Go Resonant Frequency for Unidirectional Switches

f ο = {((\frac{1}{L \cdot C}) + (\frac{R^{2}}{4 \cdot L^{2}}))}^{0.5}

Go Maximum Output Frequency for Unidirectional Switches

f m = \frac{1}{2 \cdot (t off + (\frac{π}{f ο}))}

Go Maximum Output Frequency for Bidirectional Switches

f m = \frac{1}{2 \cdot t off}

How to Evaluate Time when Current becomes Maximum for Unidirectional Switches?

Time when Current becomes Maximum for Unidirectional Switches evaluator uses Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)) to evaluate the Time, The Time when current becomes maximum for unidirectional switches is found by the condition that di₁/dt where i_i is the current through thyristor 1 is zero. Time is denoted by t_r symbol.

How to evaluate Time when Current becomes Maximum for Unidirectional Switches using this online evaluator? To use this online evaluator for Time when Current becomes Maximum for Unidirectional Switches, enter Resonant Frequency (f_ο), Inductance (L) & Resistance (R) and hit the calculate button.

FAQs on Time when Current becomes Maximum for Unidirectional Switches

What is the formula to find Time when Current becomes Maximum for Unidirectional Switches?

The formula of Time when Current becomes Maximum for Unidirectional Switches is expressed as Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)). Here is an example- 0.033001 = (1/24)*atan((24*2*0.57)/(27)).

How to calculate Time when Current becomes Maximum for Unidirectional Switches?

With Resonant Frequency (f_ο), Inductance (L) & Resistance (R) we can find Time when Current becomes Maximum for Unidirectional Switches using the formula - Time = (1/Resonant Frequency)*atan((Resonant Frequency*2*Inductance)/(Resistance)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Time when Current becomes Maximum for Unidirectional Switches be negative?

Yes, the Time when Current becomes Maximum for Unidirectional Switches, measured in Time can be negative.

Which unit is used to measure Time when Current becomes Maximum for Unidirectional Switches?

Time when Current becomes Maximum for Unidirectional Switches is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time when Current becomes Maximum for Unidirectional Switches can be measured.

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