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Nominal Continuous Collector Current of IGBT Formula

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Forward Current (IGBT) is the maximum current that can flow through the device when it is turned on. Check FAQs

i f(igbt) = \frac{- V ce(igbt) + \sqrt{{(V ce(igbt))}^{2} + 4 \cdot R ce(igbt) \cdot (\frac{T jmax(igbt) - T c(igbt)}{R th(jc)(igbt)})}}{2 \cdot R ce(igbt)}

i_f(igbt) - Forward Current (IGBT)?V_ce(igbt) - Total Voltage of Collector and Emitter (IGBT)?R_ce(igbt) - Resistance of Collector and Emitter (IGBT)?T_jmax(igbt) - Maximum Operating Junction (IGBT)?T_c(igbt) - Case Temperature IGBT?R_th(jc)(igbt) - Thermal Resistance (IGBT)?

Nominal Continuous Collector Current of IGBT Example

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Here is how the Nominal Continuous Collector Current of IGBT equation looks like with Values.

Here is how the Nominal Continuous Collector Current of IGBT equation looks like with Units.

Here is how the Nominal Continuous Collector Current of IGBT equation looks like.

1.6916 = \frac{- 21.56 + \sqrt{{(21.56)}^{2} + 4 \cdot 12.546 \cdot (\frac{283 - 250}{0.456})}}{2 \cdot 12.546}

1.6916mA = \frac{- 21.56V + \sqrt{{(21.56V)}^{2} + 4 \cdot 12.546kΩ \cdot (\frac{283°C - 250°C}{0.456kΩ})}}{2 \cdot 12.546kΩ}

1.6916 = \frac{- 21.56 + \sqrt{{(21.56)}^{2} + 4 \cdot 12.546 \cdot (\frac{283 - 250}{0.456})}}{2 \cdot 12.546}

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Nominal Continuous Collector Current of IGBT Solution

Follow our step by step solution on how to calculate Nominal Continuous Collector Current of IGBT?

FIRST Step Consider the formula

i f(igbt) = \frac{- V ce(igbt) + \sqrt{{(V ce(igbt))}^{2} + 4 \cdot R ce(igbt) \cdot (\frac{T jmax(igbt) - T c(igbt)}{R th(jc)(igbt)})}}{2 \cdot R ce(igbt)}

Next Step Substitute values of Variables

∴

i f(igbt) = \frac{- 21.56V + \sqrt{{(21.56V)}^{2} + 4 \cdot 12.546kΩ \cdot (\frac{283°C - 250°C}{0.456kΩ})}}{2 \cdot 12.546kΩ}

Next Step Convert Units

∴

i f(igbt) = \frac{- 21.56V + \sqrt{{(21.56V)}^{2} + 4 \cdot 12546Ω \cdot (\frac{556.15K - 523.15K}{456Ω})}}{2 \cdot 12546Ω}

Next Step Prepare to Evaluate

∴

i f(igbt) = \frac{- 21.56 + \sqrt{{(21.56)}^{2} + 4 \cdot 12546 \cdot (\frac{556.15 - 523.15}{456})}}{2 \cdot 12546}

Next Step Evaluate

∴

i f(igbt) = 0.00169155334065811A

Next Step Convert to Output's Unit

∴

i f(igbt) = 1.69155334065811mA

LAST Step Rounding Answer

∴

i f(igbt) = 1.6916mA

Nominal Continuous Collector Current of IGBT Formula Elements

Variables

Functions

Forward Current (IGBT)

Forward Current (IGBT) is the maximum current that can flow through the device when it is turned on.

Symbol: i_f(igbt)

Measurement: Electric CurrentUnit: mA

Note: Value should be greater than 0.

Formulas to find Forward Current (IGBT)

Total Voltage of Collector and Emitter (IGBT)

Total Voltage of Collector and Emitter (IGBT) is known as the collector-emitter voltage (V_ceo). It is the voltage drop across the IGBT when it is in the on-state.

Symbol: V_ce(igbt)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Total Voltage of Collector and Emitter (IGBT)

Resistance of Collector and Emitter (IGBT)

Resistance of Collector and Emitter (IGBT), also known as the on-state resistance (R_on) , is the resistance that the IGBT presents to the flow of current.

Symbol: R_ce(igbt)

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Resistance of Collector and Emitter (IGBT)

Maximum Operating Junction (IGBT)

Maximum Operating Junction (IGBT) is the highest temperature at which the IGBT can safely operate. It is typically specified in degrees Celsius (°C).

Symbol: T_jmax(igbt)

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Maximum Operating Junction (IGBT)

Case Temperature IGBT

Case Temperature IGBT is the temperature of the IGBT's metal case. It is typically measured in degrees Celsius (°C).

Symbol: T_c(igbt)

Measurement: TemperatureUnit: °C

Note: Value should be greater than 0.

Formulas to find Case Temperature IGBT

Thermal Resistance (IGBT)

Thermal Resistance (IGBT) is the resistance of a material to the flow of heat. It is a measure of how well a material conducts heat.

Symbol: R_th(jc)(igbt)

Measurement: Electric ResistanceUnit: kΩ

Note: Value should be greater than 0.

Formulas to find Thermal Resistance (IGBT)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in IGBT category

Go Voltage Drop in IGBT in ON-State

V ON(igbt) = i f(igbt) \cdot R ch(igbt) + i f(igbt) \cdot R d(igbt) + V j1(igbt)

Go IGBT Turn OFF Time

T off(igbt) = T dl(igbt) + t f1(igbt) + t f2(igbt)

Go Emitter Current of IGBT

I e(igbt) = I h(igbt) + i e(igbt)

Go Input Capacitance of IGBT

C in(igbt) = C (g-e)(igbt) + C (g-c)(igbt)

How to Evaluate Nominal Continuous Collector Current of IGBT?

Nominal Continuous Collector Current of IGBT evaluator uses Forward Current (IGBT) = (-Total Voltage of Collector and Emitter (IGBT)+sqrt((Total Voltage of Collector and Emitter (IGBT))^2+4*Resistance of Collector and Emitter (IGBT)*((Maximum Operating Junction (IGBT)-Case Temperature IGBT)/Thermal Resistance (IGBT))))/(2*Resistance of Collector and Emitter (IGBT)) to evaluate the Forward Current (IGBT), Nominal Continuous Collector Current of IGBT, often denoted as I_c, is a critical electrical parameter used to specify the maximum current that an electronic component, typically a transistor such as a bipolar junction transistor (BJT) or an insulated gate bipolar transistor (IGBT), can carry continuously in its ON-state without being damaged. This parameter is crucial in designing and operating electronic circuits, especially in power electronics and switching applications. Forward Current (IGBT) is denoted by i_f(igbt) symbol.

How to evaluate Nominal Continuous Collector Current of IGBT using this online evaluator? To use this online evaluator for Nominal Continuous Collector Current of IGBT, enter Total Voltage of Collector and Emitter (IGBT) (V_ce(igbt)), Resistance of Collector and Emitter (IGBT) (R_ce(igbt)), Maximum Operating Junction (IGBT) (T_jmax(igbt)), Case Temperature IGBT (T_c(igbt)) & Thermal Resistance (IGBT) (R_th(jc)(igbt)) and hit the calculate button.

FAQs on Nominal Continuous Collector Current of IGBT

What is the formula to find Nominal Continuous Collector Current of IGBT?

The formula of Nominal Continuous Collector Current of IGBT is expressed as Forward Current (IGBT) = (-Total Voltage of Collector and Emitter (IGBT)+sqrt((Total Voltage of Collector and Emitter (IGBT))^2+4*Resistance of Collector and Emitter (IGBT)*((Maximum Operating Junction (IGBT)-Case Temperature IGBT)/Thermal Resistance (IGBT))))/(2*Resistance of Collector and Emitter (IGBT)). Here is an example- 1691.553 = (-21.56+sqrt((21.56)^2+4*12546*((556.15-523.15)/456)))/(2*12546).

How to calculate Nominal Continuous Collector Current of IGBT?

With Total Voltage of Collector and Emitter (IGBT) (V_ce(igbt)), Resistance of Collector and Emitter (IGBT) (R_ce(igbt)), Maximum Operating Junction (IGBT) (T_jmax(igbt)), Case Temperature IGBT (T_c(igbt)) & Thermal Resistance (IGBT) (R_th(jc)(igbt)) we can find Nominal Continuous Collector Current of IGBT using the formula - Forward Current (IGBT) = (-Total Voltage of Collector and Emitter (IGBT)+sqrt((Total Voltage of Collector and Emitter (IGBT))^2+4*Resistance of Collector and Emitter (IGBT)*((Maximum Operating Junction (IGBT)-Case Temperature IGBT)/Thermal Resistance (IGBT))))/(2*Resistance of Collector and Emitter (IGBT)). This formula also uses Square Root (sqrt) function(s).

Can the Nominal Continuous Collector Current of IGBT be negative?

No, the Nominal Continuous Collector Current of IGBT, measured in Electric Current cannot be negative.

Which unit is used to measure Nominal Continuous Collector Current of IGBT?

Nominal Continuous Collector Current of IGBT is usually measured using the Milliampere[mA] for Electric Current. Ampere[mA], Microampere[mA], Centiampere[mA] are the few other units in which Nominal Continuous Collector Current of IGBT can be measured.

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Nominal Continuous Collector Current of IGBT Formula

Nominal Continuous Collector Current of IGBT Example

Nominal Continuous Collector Current of IGBT Solution

Nominal Continuous Collector Current of IGBT Formula Elements

Other formulas in IGBT category

How to Evaluate Nominal Continuous Collector Current of IGBT?

FAQs on Nominal Continuous Collector Current of IGBT

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