RMS Transistor Current Rating Calculator

✖Input voltage is the voltage supplied to an inverter based circuit.ⓘ Input Voltage [V_i]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.ⓘ Resistance [R]			+10% -10%

✖The RMS transistor current rating refers to the maximum continuous current that a transistor can handle without exceeding its thermal limitations or risking damage to the device.ⓘ RMS Transistor Current Rating [I_rms]

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Formula

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RMS Transistor Current Rating

Formula

`"I"_{"rms"} = sqrt((1/(2*pi))*int(("V"_{"i"}/(2*"R"))^2,x,0,((2*pi)/3)))`

Example

`"2.405626A"=sqrt((1/(2*pi))*int(("225V"/(2*"27Ω"))^2,x,0,((2*pi)/3)))`

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RMS Transistor Current Rating Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3)))
I_rms = sqrt((1/(2*pi))*int((V_i/(2*R))^2,x,0,((2*pi)/3)))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)
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., int(expr, arg, from, to)

Variables Used

RMS Transistor Current Rating - (Measured in Ampere) - The RMS transistor current rating refers to the maximum continuous current that a transistor can handle without exceeding its thermal limitations or risking damage to the device.
Input Voltage - (Measured in Volt) - Input voltage is the voltage supplied to an inverter based circuit.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

STEP 1: Convert Input(s) to Base Unit

Input Voltage: 225 Volt --> 225 Volt No Conversion Required
Resistance: 27 Ohm --> 27 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_rms = sqrt((1/(2*pi))*int((V_i/(2*R))^2,x,0,((2*pi)/3))) --> sqrt((1/(2*pi))*int((225/(2*27))^2,x,0,((2*pi)/3)))

Evaluating ... ...

I_rms = 2.40562612162344

STEP 3: Convert Result to Output's Unit

2.40562612162344 Ampere --> No Conversion Required

FINAL ANSWER

2.40562612162344 ≈ 2.405626 Ampere <-- RMS Transistor Current Rating

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Power Electronics » Inverters » Three Phase Inverters » RMS Transistor Current Rating

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

Siddharth Raj has created this Calculator and 10+ more calculators!

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Dayananda Sagar College of Engineering (DSCE), Bangalore

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< 6 Three Phase Inverters Calculators

RMS Transistor Current Rating

Go RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3)))

Line to Line RMS Voltage for SPWM Inverter

Go Line to Line RMS Output Voltage of SPWM Inverter = sqrt((2/pi)*int((Input Voltage^2),x,0,((2*pi)/3)))

Average Transistor Current Rating

Go Average Transistor Current Rating = (1/(2*pi))*int(Input Voltage/(2*Resistance),x,0,(2*pi)/3)

RMS of Fundamental Component of Line-to-Line Voltage

Go Fundamental Component RMS Voltage = 0.7797*Input Voltage

Line-to-Line RMS Voltage

Go Line to Line RMS Output Voltage = 0.8165*Input Voltage

Line-to-Neutral Voltage

Go Line to Neutral Voltage = 0.4714*Input Voltage

RMS Transistor Current Rating Formula

RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3)))
I_rms = sqrt((1/(2*pi))*int((V_i/(2*R))^2,x,0,((2*pi)/3)))

What Factors Influence the RMS Transistor Current Rating?

The RMS transistor current rating is influenced by various factors such as the transistor's thermal resistance, junction temperature, current density, and operating conditions. Higher currents lead to increased power dissipation, which can raise the junction temperature and affect the transistor's performance and reliability. Additionally, factors like package type, mounting configuration, and cooling mechanisms play significant roles in managing heat dissipation and ensuring reliable operation.

How to Calculate RMS Transistor Current Rating?

RMS Transistor Current Rating calculator uses RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3))) to calculate the RMS Transistor Current Rating, The RMS Transistor Current Rating formula is defined as the maximum continuous current that a transistor can handle without exceeding its thermal limitations or risking damage to the device. This rating is crucial for ensuring the safe and reliable operation of the transistor in a given circuit. RMS Transistor Current Rating is denoted by I_rms symbol.

How to calculate RMS Transistor Current Rating using this online calculator? To use this online calculator for RMS Transistor Current Rating, enter Input Voltage (V_i) & Resistance (R) and hit the calculate button. Here is how the RMS Transistor Current Rating calculation can be explained with given input values -> 2.405626 = sqrt((1/(2*pi))*int((225/(2*27))^2,x,0,((2*pi)/3))).

FAQ

What is RMS Transistor Current Rating?

The RMS Transistor Current Rating formula is defined as the maximum continuous current that a transistor can handle without exceeding its thermal limitations or risking damage to the device. This rating is crucial for ensuring the safe and reliable operation of the transistor in a given circuit and is represented as I_rms = sqrt((1/(2*pi))*int((V_i/(2*R))^2,x,0,((2*pi)/3))) or RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3))). Input voltage is the voltage supplied to an inverter based circuit & Resistance is a measure of the opposition to current flow in an inverter based circuit. Its S.I unit is ohm.

How to calculate RMS Transistor Current Rating?

The RMS Transistor Current Rating formula is defined as the maximum continuous current that a transistor can handle without exceeding its thermal limitations or risking damage to the device. This rating is crucial for ensuring the safe and reliable operation of the transistor in a given circuit is calculated using RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3))). To calculate RMS Transistor Current Rating, you need Input Voltage (V_i) & Resistance (R). With our tool, you need to enter the respective value for Input Voltage & Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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