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EMF Induced in Rotating Coil Formula

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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. Check FAQs

e = n \cdot A \cdot B \cdot ω \cdot \sin (ω \cdot t)

e - EMF Induced in a Rotating Coil?n - Number of Turns of Coil?A - Area of Loop?B - Magnetic Field?ω - Angular Velocity?t - Time?

EMF Induced in Rotating Coil Example

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Here is how the EMF Induced in Rotating Coil equation looks like with Values.

Here is how the EMF Induced in Rotating Coil equation looks like with Units.

Here is how the EMF Induced in Rotating Coil equation looks like.

21850.6184 = 95 \cdot 50 \cdot 2.5 \cdot 2 \cdot \sin (2 \cdot 32)

21850.6184V = 95 \cdot 50m² \cdot 2.5Wb/m² \cdot 2rad/s \cdot \sin (2rad/s \cdot 32s)

21850.6184 = 95 \cdot 50 \cdot 2.5 \cdot 2 \cdot \sin (2 \cdot 32)

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EMF Induced in Rotating Coil Solution

Follow our step by step solution on how to calculate EMF Induced in Rotating Coil?

FIRST Step Consider the formula

e = n \cdot A \cdot B \cdot ω \cdot \sin (ω \cdot t)

Next Step Substitute values of Variables

∴

e = 95 \cdot 50m² \cdot 2.5Wb/m² \cdot 2rad/s \cdot \sin (2rad/s \cdot 32s)

Next Step Convert Units

∴

e = 95 \cdot 50m² \cdot 2.5T \cdot 2rad/s \cdot \sin (2rad/s \cdot 32s)

Next Step Prepare to Evaluate

∴

e = 95 \cdot 50 \cdot 2.5 \cdot 2 \cdot \sin (2 \cdot 32)

Next Step Evaluate

∴

e = 21850.6184071738V

LAST Step Rounding Answer

∴

e = 21850.6184V

EMF Induced in Rotating Coil Formula Elements

Variables

Functions

EMF Induced in a Rotating Coil

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.

Symbol: e

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find EMF Induced in a Rotating Coil

Number of Turns of Coil

Number of Turns of Coil in a given current loop.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Turns of Coil

Area of Loop

Area of Loop is the area cover by the loop or area enclosed by the loop.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area of Loop

Magnetic Field

Magnetic fields are produced by electric currents, which can be macroscopic currents in wires, or microscopic currents associated with electrons in atomic orbits.

Symbol: B

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Field

Angular Velocity

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.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

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.

Symbol: t

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

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.

Syntax: sin(Angle)

Other formulas in Basics of Electromagentic Induction category

Go Capacitive Reactance

X c = \frac{1}{ω \cdot C}

Go Current Value for Alternating Current

i p = I o \cdot \sin (ω f \cdot t + ∠A)

Go Decay of Current in LR circuit

I decay = i p \cdot e^{- \frac{T w}{\frac{L}{R}}}

Go Growth of Current in LR Circuit

i = \frac{e}{R} \cdot (1 - e^{- \frac{t}{\frac{L}{R}}})

How to Evaluate EMF Induced in Rotating Coil?

EMF Induced in Rotating Coil evaluator uses EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time) to evaluate 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 evaluate EMF Induced in Rotating Coil using this online evaluator? To use this online evaluator 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.

FAQs on EMF Induced in Rotating Coil

What is the formula to find EMF Induced in Rotating Coil?

The formula of EMF Induced in Rotating Coil is expressed as EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time). Here is an example- 21850.62 = 95*50*2.5*2*sin(2*32).

How to calculate EMF Induced in Rotating Coil?

With Number of Turns of Coil (n), Area of Loop (A), Magnetic Field (B), Angular Velocity (ω) & Time (t) we can find EMF Induced in Rotating Coil using the formula - EMF Induced in a Rotating Coil = Number of Turns of Coil*Area of Loop*Magnetic Field*Angular Velocity*sin(Angular Velocity*Time). This formula also uses Sine (sin) function(s).

Can the EMF Induced in Rotating Coil be negative?

Yes, the EMF Induced in Rotating Coil, measured in Electric Potential can be negative.

Which unit is used to measure EMF Induced in Rotating Coil?

EMF Induced in Rotating Coil is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which EMF Induced in Rotating Coil can be measured.

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EMF Induced in Rotating Coil Formula

EMF Induced in Rotating Coil Example

EMF Induced in Rotating Coil Solution

EMF Induced in Rotating Coil Formula Elements

Other formulas in Basics of Electromagentic Induction category

How to Evaluate EMF Induced in Rotating Coil?

FAQs on EMF Induced in Rotating Coil

Variable Name