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Average Transistor Current Rating Formula

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The Average Transistor Current Rating Refers to the Maximum Average Current that a Transistor can Handle Over a Specified Time Period. Check FAQs

I avg = (\frac{1}{2 \cdot π}) \cdot \int (\frac{V i}{2 \cdot R}, x, 0, \frac{2 \cdot π}{3})

I_avg - Average Transistor Current Rating?V_i - Input Voltage?R - Resistance?π - Archimedes' constant?

Average Transistor Current Rating Example

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Here is how the Average Transistor Current Rating equation looks like with Values.

Here is how the Average Transistor Current Rating equation looks like with Units.

Here is how the Average Transistor Current Rating equation looks like.

1.3889 = (\frac{1}{2 \cdot 3.1416}) \cdot \int (\frac{225}{2 \cdot 27}, x, 0, \frac{2 \cdot 3.1416}{3})

1.3889A = (\frac{1}{2 \cdot 3.1416}) \cdot \int (\frac{225V}{2 \cdot 27Ω}, x, 0, \frac{2 \cdot 3.1416}{3})

1.3889 = (\frac{1}{2 \cdot 3.1416}) \cdot \int (\frac{225}{2 \cdot 27}, x, 0, \frac{2 \cdot 3.1416}{3})

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Average Transistor Current Rating Solution

Follow our step by step solution on how to calculate Average Transistor Current Rating?

FIRST Step Consider the formula

I avg = (\frac{1}{2 \cdot π}) \cdot \int (\frac{V i}{2 \cdot R}, x, 0, \frac{2 \cdot π}{3})

Next Step Substitute values of Variables

∴

I avg = (\frac{1}{2 \cdot π}) \cdot \int (\frac{225V}{2 \cdot 27Ω}, x, 0, \frac{2 \cdot π}{3})

Next Step Substitute values of Constants

∴

I avg = (\frac{1}{2 \cdot 3.1416}) \cdot \int (\frac{225V}{2 \cdot 27Ω}, x, 0, \frac{2 \cdot 3.1416}{3})

Next Step Prepare to Evaluate

∴

I avg = (\frac{1}{2 \cdot 3.1416}) \cdot \int (\frac{225}{2 \cdot 27}, x, 0, \frac{2 \cdot 3.1416}{3})

Next Step Evaluate

∴

I avg = 1.38888888888889A

LAST Step Rounding Answer

∴

I avg = 1.3889A

Average Transistor Current Rating Formula Elements

Variables

Constants

Functions

Average Transistor Current Rating

The Average Transistor Current Rating Refers to the Maximum Average Current that a Transistor can Handle Over a Specified Time Period.

Symbol: I_avg

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Average Transistor Current Rating

Input Voltage

Input voltage is the voltage supplied to an inverter based circuit.

Symbol: V_i

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Input Voltage

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

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

int

The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis.

Syntax: int(expr, arg, from, to)

Other formulas in Three Phase Inverters category

Go Line-to-Line RMS Voltage

V ll = 0.8165 \cdot V i

Go RMS of Fundamental Component of Line-to-Line Voltage

V 0(3rms) = 0.7797 \cdot V i

Go Line-to-Neutral Voltage

V ln = 0.4714 \cdot V i

Go Line to Line RMS Voltage for SPWM Inverter

V LL = \sqrt{(\frac{2}{π}) \cdot \int (({V i}^{2}), x, 0, (\frac{2 \cdot π}{3}))}

How to Evaluate Average Transistor Current Rating?

Average Transistor Current Rating evaluator uses Average Transistor Current Rating = (1/(2*pi))*int(Input Voltage/(2*Resistance),x,0,(2*pi)/3) to evaluate the Average Transistor Current Rating, The Average Transistor Current Rating formula is defined as the maximum average current that a transistor can handle over a specified time period without exceeding its thermal limitations or risking damage to the device. Average Transistor Current Rating is denoted by I_avg symbol.

How to evaluate Average Transistor Current Rating using this online evaluator? To use this online evaluator for Average Transistor Current Rating, enter Input Voltage (V_i) & Resistance (R) and hit the calculate button.

FAQs on Average Transistor Current Rating

What is the formula to find Average Transistor Current Rating?

The formula of Average Transistor Current Rating is expressed as Average Transistor Current Rating = (1/(2*pi))*int(Input Voltage/(2*Resistance),x,0,(2*pi)/3). Here is an example- 1.388889 = (1/(2*pi))*int(225/(2*27),x,0,(2*pi)/3).

How to calculate Average Transistor Current Rating?

With Input Voltage (V_i) & Resistance (R) we can find Average Transistor Current Rating using the formula - Average Transistor Current Rating = (1/(2*pi))*int(Input Voltage/(2*Resistance),x,0,(2*pi)/3). This formula also uses Archimedes' constant and Definite Integral (int) function(s).

Can the Average Transistor Current Rating be negative?

Yes, the Average Transistor Current Rating, measured in Electric Current can be negative.

Which unit is used to measure Average Transistor Current Rating?

Average Transistor Current Rating is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Average Transistor Current Rating can be measured.

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Average Transistor Current Rating Formula

Average Transistor Current Rating Example

Average Transistor Current Rating Solution

Average Transistor Current Rating Formula Elements

Other formulas in Three Phase Inverters category

How to Evaluate Average Transistor Current Rating?

FAQs on Average Transistor Current Rating

Variable Name