EMF Induced in Rotating Coil Calculator

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Electromagnetic Induction

Capacitor

Electrostatics

Magnetic Field due to Current

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Basics of Electromagentic Induction

Energy

Impedance

Phase Shift

✖Number of Turns of Coil in a given current loop.ⓘ Number of Turns of Coil [n]			+10% -10%
✖Area of Loop is the area cover by the loop or area enclosed by the loop.ⓘ Area of Loop [A]			+10% -10%
✖Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.ⓘ Magnetic Field [B]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.ⓘ Time [t]			+10% -10%

✖EMF Induced in a Rotating Coil is the potential developed in the coil due to change of flux which maybe due to change in orientation, area of loop or magnetic field.ⓘ EMF Induced in Rotating Coil [e]

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Formula

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EMF Induced in Rotating Coil

Formula

`"e" = "n"*"A"*"B"*"ω"*sin("ω"*"t")`

Example

`"21850.62V"="95"*"50m²"*"2.5Wb/m²"*"2rad/s"*sin("2rad/s"*"32s")`

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EMF Induced in Rotating Coil Solution

STEP 0: Pre-Calculation Summary

Formula Used

EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)
e = n*A*B*ω*sin(ω*t)
This formula uses 1 Functions, 6 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

EMF Induced in a Rotating Coil - (Measured in Volt) - EMF Induced in a Rotating Coil is the potential developed in the coil due to change of flux which maybe due to change in orientation, area of loop or magnetic field.
Number of Turns of Coil - Number of Turns of Coil in a given current loop.
Area of Loop - (Measured in Square Meter) - Area of Loop is the area cover by the loop or area enclosed by the loop.
Magnetic Field - (Measured in Tesla) - Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Time - (Measured in Second) - Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

STEP 1: Convert Input(s) to Base Unit

Number of Turns of Coil: 95 --> No Conversion Required
Area of Loop: 50 Square Meter --> 50 Square Meter No Conversion Required
Magnetic Field: 2.5 Weber per Square Meter --> 2.5 Tesla (Check conversion here)
Angular Velocity: 2 Radian per Second --> 2 Radian per Second No Conversion Required
Time: 32 Second --> 32 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e = n*A*B*ω*sin(ω*t) --> 95*50*2.5*2*sin(2*32)

Evaluating ... ...

e = 21850.6184071738

STEP 3: Convert Result to Output's Unit

21850.6184071738 Volt --> No Conversion Required

FINAL ANSWER

21850.6184071738 ≈ 21850.62 Volt <-- EMF Induced in a Rotating Coil

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 15 Basics of Electromagentic Induction Calculators

EMF Induced in Rotating Coil

Go EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)

Self Inductance of Solenoid

Go Self Inductance of Solenoid = pi*[Permeability-vacuum]*Number of Turns of Solenoid^2*Radius^2*Length of Solenoid

Growth of Current in LR Circuit

Go Growth of Current in LR Circuit = e/Resistance*(1-e^(-Time/(Inductance/Resistance)))

Decay of Current in LR circuit

Go Decay of Current in L-R Circuit = Electric Current*e^(-Time Period of Progressive Wave/(Inductance/Resistance))

Current Value for Alternating Current

Go Electric Current = Peak Current*sin(Angular Frequency*Time+Angle A)

Power Factor

Go Power Factor = Root Mean Square Voltage*Root Mean Square Current*cos(Phase Difference)

Resonant Frequency for LCR Circuit

Go Resonant Frequency = 1/(2*pi*sqrt(Impedance*Capacitance))

Total Flux in Self Inductance

Go Self Inductance of Solenoid = pi*Magnetic Flux*Radius^2

Motional EMF

Go Electromotive Force = Magnetic Field*Length*Velocity

Total Flux in Mutual Inductance

Go Total Flux in Mutual Inductance = Mutual Inductance*Electric Current

Time Period for Alternating Current

Go Time Period of Progressive Wave = (2*pi)/Angular Velocity

Capacitive Reactance

Go Capacitive Reactance = 1/(Angular Velocity*Capacitance)

Time Constant of LR Circuit

Go Time Constant of L-R Circuit = Inductance/Resistance

RMS Current given Peak Current

Go Root Mean Square Current = Electric Current/sqrt(2)

Inductive Reactance

Go Inductive Reactance = Angular Velocity*Inductance

EMF Induced in Rotating Coil Formula

EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time)
e = n*A*B*ω*sin(ω*t)

How EMF developed in a rotating coil changes with orientation?

The EMF Induced in a coil is proportional to the cross product hence the EMF varies with sine of the angle with respect to magnetic field.

How to Calculate EMF Induced in Rotating Coil?

EMF Induced in Rotating Coil calculator uses EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time) to calculate the EMF Induced in a Rotating Coil, The EMF Induced in Rotating Coil formula is defined as the potential voltage developed in the coil due to a change in flux which may be caused due to change in magnetic field or area or orientation. EMF Induced in a Rotating Coil is denoted by e symbol.

How to calculate EMF Induced in Rotating Coil using this online calculator? To use this online calculator for EMF Induced in Rotating Coil, enter Number of Turns of Coil (n), Area of Loop (A), Magnetic Field (B), Angular Velocity (ω) & Time (t) and hit the calculate button. Here is how the EMF Induced in Rotating Coil calculation can be explained with given input values -> 21850.62 = 95*50*2.5*2*sin(2*32).

FAQ

What is EMF Induced in Rotating Coil?

The EMF Induced in Rotating Coil formula is defined as the potential voltage developed in the coil due to a change in flux which may be caused due to change in magnetic field or area or orientation and is represented as e = n*A*B*ω*sin(ω*t) or EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time). Number of Turns of Coil in a given current loop, Area of Loop is the area cover by the loop or area enclosed by the loop, Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & Time is the continued sequence of existence and events that occurs in an apparently irreversible succession from the past, through the present, into the future.

How to calculate EMF Induced in Rotating Coil?

The EMF Induced in Rotating Coil formula is defined as the potential voltage developed in the coil due to a change in flux which may be caused due to change in magnetic field or area or orientation is calculated using EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time). To calculate EMF Induced in Rotating Coil, you need Number of Turns of Coil (n), Area of Loop (A), Magnetic Field (B), Angular Velocity (ω) & Time (t). With our tool, you need to enter the respective value for Number of Turns of Coil, Area of Loop, Magnetic Field, Angular Velocity & Time 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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