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Base Current for Three-Phase System Formula

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Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on. Check FAQs

I b = \frac{P b}{\sqrt{3} \cdot V base}

I_b - Base Current?P_b - Base Power?V_base - Base Voltage?

Base Current for Three-Phase System Example

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Here is how the Base Current for Three-Phase System equation looks like with Values.

Here is how the Base Current for Three-Phase System equation looks like with Units.

Here is how the Base Current for Three-Phase System equation looks like.

23.094 = \frac{10000}{\sqrt{3} \cdot 250}

23.094A = \frac{10000VA}{\sqrt{3} \cdot 250V}

23.094 = \frac{10000}{\sqrt{3} \cdot 250}

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Base Current for Three-Phase System Solution

Follow our step by step solution on how to calculate Base Current for Three-Phase System?

FIRST Step Consider the formula

I b = \frac{P b}{\sqrt{3} \cdot V base}

Next Step Substitute values of Variables

∴

I b = \frac{10000VA}{\sqrt{3} \cdot 250V}

Next Step Convert Units

∴

I b = \frac{10000W}{\sqrt{3} \cdot 250V}

Next Step Prepare to Evaluate

∴

I b = \frac{10000}{\sqrt{3} \cdot 250}

Next Step Evaluate

∴

I b = 23.094010767585A

LAST Step Rounding Answer

∴

I b = 23.094A

Base Current for Three-Phase System Formula Elements

Variables

Functions

Base Current

Base Current is a crucial current of bipolar junction transistor. Without the base current, the transistor cannot turn on.

Symbol: I_b

Measurement: Electric CurrentUnit: A

Note: Value should be greater than 0.

Formulas to find Base Current

Base Power

Base power is the product of base voltage & base current. It is denoted as P_b .

Symbol: P_b

Measurement: PowerUnit: VA

Note: Value should be greater than 0.

Formulas to find Base Power

Base Voltage

Base Voltage is chosen as the nominal rated voltage of the system.

Symbol: V_base

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Base Voltage

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 Line Performance Characteristics category

Go Complex Power given Current

S = I^{2} \cdot Z

Go Skin Depth in Conductor

δ = \sqrt{\frac{R s}{f \cdot μ r \cdot 4 \cdot π \cdot 10^{- 7}}}

Go Base Impedance given Base Current

Z base = \frac{V base}{I pu(b)}

Go Base Power

P b = V base \cdot I b

How to Evaluate Base Current for Three-Phase System?

Base Current for Three-Phase System evaluator uses Base Current = Base Power/(sqrt(3)*Base Voltage) to evaluate the Base Current, Base Current for Three-phase System is the ratio of the base kVA to √3 of base voltage where voltage is line to line voltage. Base Current is denoted by I_b symbol.

How to evaluate Base Current for Three-Phase System using this online evaluator? To use this online evaluator for Base Current for Three-Phase System, enter Base Power (P_b) & Base Voltage (V_base) and hit the calculate button.

FAQs on Base Current for Three-Phase System

What is the formula to find Base Current for Three-Phase System?

The formula of Base Current for Three-Phase System is expressed as Base Current = Base Power/(sqrt(3)*Base Voltage). Here is an example- 23.09401 = 10000/(sqrt(3)*250).

How to calculate Base Current for Three-Phase System?

With Base Power (P_b) & Base Voltage (V_base) we can find Base Current for Three-Phase System using the formula - Base Current = Base Power/(sqrt(3)*Base Voltage). This formula also uses Square Root (sqrt) function(s).

Can the Base Current for Three-Phase System be negative?

No, the Base Current for Three-Phase System, measured in Electric Current cannot be negative.

Which unit is used to measure Base Current for Three-Phase System?

Base Current for Three-Phase System is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Base Current for Three-Phase System can be measured.

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Base Current for Three-Phase System Formula

Base Current for Three-Phase System Example

Base Current for Three-Phase System Solution

Base Current for Three-Phase System Formula Elements

Other formulas in Line Performance Characteristics category

How to Evaluate Base Current for Three-Phase System?

FAQs on Base Current for Three-Phase System

Variable Name