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Magnetic Flux Formula

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Magnetic Flux is the measure of the total magnetic field passing through a given area. It quantifies the number of magnetic field lines intersecting that area. Check FAQs

Φ m = B \cdot A \cdot \cos (θ 1)

Φ_m - Magnetic Flux?B - Magnetic Field?A - Area?θ₁ - Theta 1?

Magnetic Flux Example

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Here is how the Magnetic Flux equation looks like with Values.

Here is how the Magnetic Flux equation looks like with Units.

Here is how the Magnetic Flux equation looks like.

6.5E-5 = 1.4E-5 \cdot 6.6 \cdot \cos (45)

6.5E-5Wb = 1.4E-5Wb/m² \cdot 6.6m² \cdot \cos (45°)

6.5E-5 = 1.4E-5 \cdot 6.6 \cdot \cos (45)

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Magnetic Flux Solution

Follow our step by step solution on how to calculate Magnetic Flux?

FIRST Step Consider the formula

Φ m = B \cdot A \cdot \cos (θ 1)

Next Step Substitute values of Variables

∴

Φ m = 1.4E-5Wb/m² \cdot 6.6m² \cdot \cos (45°)

Next Step Convert Units

∴

Φ m = 1.4E-5T \cdot 6.6m² \cdot \cos (0.7854rad)

Next Step Prepare to Evaluate

∴

Φ m = 1.4E-5 \cdot 6.6 \cdot \cos (0.7854)

Next Step Evaluate

∴

Φ m = 6.53366665816466E-05Wb

LAST Step Rounding Answer

∴

Φ m = 6.5E-5Wb

Magnetic Flux Formula Elements

Variables

Functions

Magnetic Flux

Magnetic Flux is the measure of the total magnetic field passing through a given area. It quantifies the number of magnetic field lines intersecting that area.

Symbol: Φ_m

Measurement: Magnetic FluxUnit: Wb

Note: Value can be positive or negative.

Formulas to find Magnetic Flux

Magnetic Field

The Magnetic Field is a vector field around a magnet or electric current that exerts force on other magnets or moving charges. It is described by both direction and strength.

Symbol: B

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Field

Area

Area refers to the cross-sectional area through which magnetic flux passes.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area

Theta 1

Theta 1 is an angle used to represent a specific orientation or direction in a magnetic field. It is often used in calculations involving magnetic forces or fields.

Symbol: θ₁

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Theta 1

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Magnetism category

Go Magnetic Field on Axis of Ring

B = \frac{[Permeability-vacuum] \cdot i \cdot {r ring}^{2}}{2 \cdot {({r ring}^{2} + d^{2})}^{\frac{3}{2}}}

Go Force between Parallel Wires

F 𝑙 = \frac{[Permeability-vacuum] \cdot I 1 \cdot I 2}{2 \cdot π \cdot d}

Go Magnetic Field at Center of Arc

M arc = \frac{[Permeability-vacuum] \cdot i \cdot θ arc}{4 \cdot π \cdot r ring}

Go Field Inside Solenoid

B = \frac{[Permeability-vacuum] \cdot i \cdot N}{L solenoid}

How to Evaluate Magnetic Flux?

Magnetic Flux evaluator uses Magnetic Flux = Magnetic Field*Area*cos(Theta 1) to evaluate the Magnetic Flux, Magnetic Flux formula is defined as a measure of the amount of magnetic field that passes through a given area, describing the interaction between magnetic fields and moving charges or changing electric fields, and is a fundamental concept in understanding electromagnetic induction. Magnetic Flux is denoted by Φ_m symbol.

How to evaluate Magnetic Flux using this online evaluator? To use this online evaluator for Magnetic Flux, enter Magnetic Field (B), Area (A) & Theta 1 (θ₁) and hit the calculate button.

FAQs on Magnetic Flux

What is the formula to find Magnetic Flux?

The formula of Magnetic Flux is expressed as Magnetic Flux = Magnetic Field*Area*cos(Theta 1). Here is an example- 2.2E-5 = 1.4E-05*6.6*cos(0.785398163397301).

How to calculate Magnetic Flux?

With Magnetic Field (B), Area (A) & Theta 1 (θ₁) we can find Magnetic Flux using the formula - Magnetic Flux = Magnetic Field*Area*cos(Theta 1). This formula also uses Cosine (cos) function(s).

Can the Magnetic Flux be negative?

Yes, the Magnetic Flux, measured in Magnetic Flux can be negative.

Which unit is used to measure Magnetic Flux?

Magnetic Flux is usually measured using the Weber[Wb] for Magnetic Flux. Milliweber[Wb], Microweber[Wb], Volt Second[Wb] are the few other units in which Magnetic Flux can be measured.

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