Frequency given EMF Induced in Primary Winding Solution

STEP 0: Pre-Calculation Summary
Formula Used
Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density)
f = E1/(4.44*N1*Acore*Bmax)
This formula uses 5 Variables
Variables Used
Supply Frequency - (Measured in Hertz) - Supply Frequency means Induction motors are designed for a specific voltage per frequency ratio (V/Hz). The voltage is called the supply voltage and the frequency is called the 'Supply Frequency'.
EMF Induced in Primary - (Measured in Volt) - EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil.
Number of Turns in Primary - The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer.
Area of Core - (Measured in Square Meter) - Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space.
Maximum Flux Density - (Measured in Tesla) - Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.
STEP 1: Convert Input(s) to Base Unit
EMF Induced in Primary: 13.2 Volt --> 13.2 Volt No Conversion Required
Number of Turns in Primary: 20 --> No Conversion Required
Area of Core: 2500 Square Centimeter --> 0.25 Square Meter (Check conversion here)
Maximum Flux Density: 0.0012 Tesla --> 0.0012 Tesla No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f = E1/(4.44*N1*Acore*Bmax) --> 13.2/(4.44*20*0.25*0.0012)
Evaluating ... ...
f = 495.495495495495
STEP 3: Convert Result to Output's Unit
495.495495495495 Hertz --> No Conversion Required
FINAL ANSWER
495.495495495495 495.4955 Hertz <-- Supply Frequency
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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2 Frequency Calculators

Frequency given EMF Induced in Secondary Winding
Go Supply Frequency = EMF Induced in Secondary/(4.44*Number of Turns in Secondary*Area of Core*Maximum Flux Density)
Frequency given EMF Induced in Primary Winding
Go Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density)

25 Transformer Circuit Calculators

EMF Induced in Secondary Winding
Go EMF Induced in Secondary = 4.44*Number of Turns in Secondary*Supply Frequency*Area of Core*Maximum Flux Density
EMF Induced in Primary Winding
Go EMF Induced in Primary = 4.44*Number of Turns in Primary*Supply Frequency*Area of Core*Maximum Flux Density
Equivalent Impedance of Transformer from Secondary Side
Go Equivalent Impedance from Secondary = sqrt(Equivalent Resistance from Secondary^2+Equivalent Reactance from Secondary^2)
Equivalent Impedance of Transformer from Primary Side
Go Equivalent Impedance from Primary = sqrt(Equivalent Resistance from Primary^2+Equivalent Reactance from Primary^2)
Equivalent Resistance from Secondary Side
Go Equivalent Resistance from Secondary = Resistance of Secondary+Resistance of Primary*Transformation Ratio^2
Equivalent Resistance from Primary Side
Go Equivalent Resistance from Primary = Resistance of Primary+Resistance of Secondary/Transformation Ratio^2
P.U. Primary Resistance Drop
Go P U Primary Resistance drop = (Primary Current*Equivalent Resistance from Primary)/EMF Induced in Primary
Terminal Voltage during No Load
Go No Load Terminal Voltage = (Primary Voltage* Number of Turns in Secondary)/Number of Turns in Primary
Transformation Ratio given Secondary Leakage Reactance
Go Transformation Ratio = sqrt(Secondary Leakage Reactance/Reactance of Secondary in Primary)
Transformation Ratio given Primary Leakage Reactance
Go Transformation Ratio = sqrt(Reactance of Primary in Secondary/Primary Leakage Reactance)
Equivalent Reactance of Transformer from Secondary Side
Go Equivalent Reactance from Secondary = Secondary Leakage Reactance+Reactance of Primary in Secondary
Equivalent Reactance of Transformer from Primary Side
Go Equivalent Reactance from Primary = Primary Leakage Reactance+Reactance of Secondary in Primary
Reactance of Secondary Winding in Primary
Go Reactance of Secondary in Primary = Secondary Leakage Reactance/(Transformation Ratio^2)
Primary Leakage Reactance
Go Primary Leakage Reactance = Reactance of Primary in Secondary/(Transformation Ratio^2)
Reactance of Primary Winding in Secondary
Go Reactance of Primary in Secondary = Primary Leakage Reactance*Transformation Ratio^2
Resistance of Secondary Winding in Primary
Go Resistance of Secondary in Primary = Resistance of Secondary/Transformation Ratio^2
Secondary Winding Resistance
Go Resistance of Secondary = Resistance of Secondary in Primary*Transformation Ratio^2
Primary Winding Resistance
Go Resistance of Primary = Resistance of Primary in Secondary/(Transformation Ratio^2)
Resistance of Primary Winding in Secondary
Go Resistance of Primary in Secondary = Resistance of Primary*Transformation Ratio^2
Transformation Ratio given Primary and Secondary Number of Turns
Go Transformation Ratio = Number of Turns in Secondary/Number of Turns in Primary
Secondary Leakage Reactance
Go Secondary Leakage Reactance = Self Induced EMF in Secondary/Secondary Current
Transformation Ratio given Primary and Secondary Current
Go Transformation Ratio = Primary Current/Secondary Current
Transformation Ratio given Primary and Secondary Voltage
Go Transformation Ratio = Secondary Voltage/Primary Voltage
Secondary Voltage given Voltage Transformation Ratio
Go Secondary Voltage = Primary Voltage*Transformation Ratio
Primary Voltage given Voltage Transformation Ratio
Go Primary Voltage = Secondary Voltage/Transformation Ratio

Frequency given EMF Induced in Primary Winding Formula

Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density)
f = E1/(4.44*N1*Acore*Bmax)

What is induced EMF?

Alternating flux gets linked with the secondary winding, and because of the phenomenon of mutual induction, an emf gets induced in the secondary winding. The magnitude of this induced emf can be found by using the following EMF equation of the transformer.

How to Calculate Frequency given EMF Induced in Primary Winding?

Frequency given EMF Induced in Primary Winding calculator uses Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density) to calculate the Supply Frequency, Frequency given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer. Supply Frequency is denoted by f symbol.

How to calculate Frequency given EMF Induced in Primary Winding using this online calculator? To use this online calculator for Frequency given EMF Induced in Primary Winding, enter EMF Induced in Primary (E1), Number of Turns in Primary (N1), Area of Core (Acore) & Maximum Flux Density (Bmax) and hit the calculate button. Here is how the Frequency given EMF Induced in Primary Winding calculation can be explained with given input values -> 495.4955 = 13.2/(4.44*20*0.25*0.0012).

FAQ

What is Frequency given EMF Induced in Primary Winding?
Frequency given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer and is represented as f = E1/(4.44*N1*Acore*Bmax) or Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density). EMF Induced in Primary Winding is the production of voltage in a coil because of the change in magnetic flux through a coil, The Number of Turns in Primary Winding is the number of turns primary winding is the winding of a transformer, Area of Core is defined as the space occupied by the core of a transformer in 2 dimensional space & Maximum Flux Density is defined as the number of lines of force passing through a unit area of material.
How to calculate Frequency given EMF Induced in Primary Winding?
Frequency given EMF Induced in Primary Winding formula is defined as the amount of two-dimensional space taken up by an object. The magnitude of this induced emf can be found by using the following EMF equation of the transformer is calculated using Supply Frequency = EMF Induced in Primary/(4.44*Number of Turns in Primary*Area of Core*Maximum Flux Density). To calculate Frequency given EMF Induced in Primary Winding, you need EMF Induced in Primary (E1), Number of Turns in Primary (N1), Area of Core (Acore) & Maximum Flux Density (Bmax). With our tool, you need to enter the respective value for EMF Induced in Primary, Number of Turns in Primary, Area of Core & Maximum Flux Density and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Supply Frequency?
In this formula, Supply Frequency uses EMF Induced in Primary, Number of Turns in Primary, Area of Core & Maximum Flux Density. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Supply Frequency = EMF Induced in Secondary/(4.44*Number of Turns in Secondary*Area of Core*Maximum Flux Density)
  • Supply Frequency = EMF Induced in Secondary/(4.44*Number of Turns in Secondary*Area of Core*Maximum Flux Density)
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