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RMS Transistor Current Rating Formula

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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. Check FAQs

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

I_rms - RMS Transistor Current Rating?V_i - Input Voltage?R - Resistance?π - Archimedes' constant?

RMS Transistor Current Rating Example

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

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

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

2.4056 = \sqrt{(\frac{1}{2 \cdot 3.1416}) \cdot \int ({(\frac{225}{2 \cdot 27})}^{2}, x, 0, (\frac{2 \cdot 3.1416}{3}))}

2.4056A = \sqrt{(\frac{1}{2 \cdot 3.1416}) \cdot \int ({(\frac{225V}{2 \cdot 27Ω})}^{2}, x, 0, (\frac{2 \cdot 3.1416}{3}))}

2.4056 = \sqrt{(\frac{1}{2 \cdot 3.1416}) \cdot \int ({(\frac{225}{2 \cdot 27})}^{2}, x, 0, (\frac{2 \cdot 3.1416}{3}))}

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RMS Transistor Current Rating Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

I rms = 2.40562612162344A

LAST Step Rounding Answer

∴

I rms = 2.4056A

RMS Transistor Current Rating Formula Elements

Variables

Constants

Functions

RMS Transistor Current Rating

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.

Symbol: I_rms

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find RMS 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

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)

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 RMS Transistor Current Rating?

RMS Transistor Current Rating evaluator uses RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3))) to evaluate 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 evaluate RMS Transistor Current Rating using this online evaluator? To use this online evaluator for RMS Transistor Current Rating, enter Input Voltage (V_i) & Resistance (R) and hit the calculate button.

FAQs on RMS Transistor Current Rating

What is the formula to find RMS Transistor Current Rating?

The formula of RMS Transistor Current Rating is expressed as RMS Transistor Current Rating = sqrt((1/(2*pi))*int((Input Voltage/(2*Resistance))^2,x,0,((2*pi)/3))). Here is an example- 2.405626 = sqrt((1/(2*pi))*int((225/(2*27))^2,x,0,((2*pi)/3))).

How to calculate RMS Transistor Current Rating?

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

Can the RMS Transistor Current Rating be negative?

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

Which unit is used to measure RMS Transistor Current Rating?

RMS 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 RMS Transistor Current Rating can be measured.

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RMS Transistor Current Rating Formula

RMS Transistor Current Rating Example

RMS Transistor Current Rating Solution

RMS Transistor Current Rating Formula Elements

Other formulas in Three Phase Inverters category

How to Evaluate RMS Transistor Current Rating?

FAQs on RMS Transistor Current Rating

Variable Name