Subjects

Physics

Fields and their consequences (a-level only)

Magnetic fields (a-level only)

Cool Science: Fleming's Rule, Hall Voltage, and Forces in Wires!

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Xin Ying Pua

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11/02/2023

440

MAGNETIC FIELDS
magnetic fields
• b-fields
• force that exerts a force on magnetised materials, moving charges & electrical currents
when a

Hall Voltage

This section explains the Hall effect and its relationship to magnetic fields in current-carrying conductors.

Definition: Hall voltage is the potential difference induced across a conductor when a magnetic field is applied perpendicular to the current flow.

Highlight: The Hall voltage (VH) is proportional to the magnetic field strength (B) for a fixed current.

Example: When electrons in a conductor experience both electric and magnetic forces, they reach equilibrium when these forces become equal (Bqv = VH/d).

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Current Carrying Wires and Solenoids

This page details the interactions between current-carrying wires and the properties of solenoids.

Definition: A solenoid is a coil of current-carrying wire that produces a nearly uniform magnetic field inside its core.

Highlight: Parallel current-carrying wires attract when currents flow in the same direction and repel when currents flow in opposite directions.

Example: The force between parallel current-carrying wires is given by F = (μ₀I₁I₂l)/(2πa), where μ₀ is the permeability of free space.

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Uniform Electric Fields

This section explores the behavior of charged particles in uniform electric fields.

Definition: A uniform electric field is a region where the electric force is constant in both magnitude and direction.

Highlight: Charged particles follow parabolic trajectories when entering a uniform electric field at 90°.

Example: The acceleration of a charged particle in a uniform electric field is given by a = (Vq)/(md), where V is voltage, q is charge, m is mass, and d is distance between plates.

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Particle Accelerators

This final section covers different types of particle accelerators and their operating principles.

Definition: Particle accelerators are devices that use electromagnetic fields to propel charged particles to high speeds.

Highlight: Three main types of accelerators are discussed: linear accelerators (linacs), cyclotrons, and synchrotrons.

Example: In a cyclotron, the frequency of particle rotation is independent of velocity and path radius, given by f = (Bq)/(2πm).

Vocabulary: Linac - Linear accelerator that uses alternating electric fields to accelerate particles in a straight line.

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Magnetic Fields and Forces

This page introduces fundamental concepts of magnetic fields and their interactions with current-carrying conductors. The relationship between force, magnetic field, and current is explored through Fleming's left hand rule and mathematical equations.

Definition: Magnetic fields (B-fields) are forces that exert influence on magnetized materials, moving charges, and electrical currents.

Highlight: The force on a current-carrying wire in a magnetic field is given by F = BIlsinθ, where B is magnetic flux density, I is current, l is length, and θ is the angle between B-field and current.

Example: A moving charge in a magnetic field experiences a force F = Bqv, causing it to move in a circular path due to constant centripetal force.

Vocabulary: Tesla (T) - the unit of magnetic flux density, representing the field strength that causes a wire carrying 1A to experience a force of 1N per meter.

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Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

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Knowunity is the #1 education app in five European countries

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Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

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iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

I love this app ❤️ I actually use it every time I study.

Subjects

Physics

Fields and their consequences (a-level only)

Magnetic fields (a-level only)

Cool Science: Fleming's Rule, Hall Voltage, and Forces in Wires!

Xin Ying Pua

@notesxyz

140 Followers

A comprehensive guide to magnetic fields and particle accelerators, covering fundamental principles of electromagnetic interactions and their practical applications in modern physics.

Fleming's left hand rule for magnetic fields helps determine the direction of force on current-carrying conductors
The Hall voltage in current carrying conductors demonstrates the relationship between magnetic fields and charge separation
Forces between parallel current carrying wires illustrate fundamental electromagnetic interactions
Uniform electric fields and particle accelerators showcase practical applications of electromagnetic principles
Key concepts include magnetic flux density, solenoids, and various types of particle accelerators

11/02/2023

440

12/13

Physics

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Hall Voltage

This section explains the Hall effect and its relationship to magnetic fields in current-carrying conductors.

Definition: Hall voltage is the potential difference induced across a conductor when a magnetic field is applied perpendicular to the current flow.

Highlight: The Hall voltage (VH) is proportional to the magnetic field strength (B) for a fixed current.

Example: When electrons in a conductor experience both electric and magnetic forces, they reach equilibrium when these forces become equal (Bqv = VH/d).

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Current Carrying Wires and Solenoids

This page details the interactions between current-carrying wires and the properties of solenoids.

Definition: A solenoid is a coil of current-carrying wire that produces a nearly uniform magnetic field inside its core.

Highlight: Parallel current-carrying wires attract when currents flow in the same direction and repel when currents flow in opposite directions.

Example: The force between parallel current-carrying wires is given by F = (μ₀I₁I₂l)/(2πa), where μ₀ is the permeability of free space.

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Uniform Electric Fields

This section explores the behavior of charged particles in uniform electric fields.

Definition: A uniform electric field is a region where the electric force is constant in both magnitude and direction.

Highlight: Charged particles follow parabolic trajectories when entering a uniform electric field at 90°.

Example: The acceleration of a charged particle in a uniform electric field is given by a = (Vq)/(md), where V is voltage, q is charge, m is mass, and d is distance between plates.

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Particle Accelerators

This final section covers different types of particle accelerators and their operating principles.

Definition: Particle accelerators are devices that use electromagnetic fields to propel charged particles to high speeds.

Highlight: Three main types of accelerators are discussed: linear accelerators (linacs), cyclotrons, and synchrotrons.

Example: In a cyclotron, the frequency of particle rotation is independent of velocity and path radius, given by f = (Bq)/(2πm).

Vocabulary: Linac - Linear accelerator that uses alternating electric fields to accelerate particles in a straight line.

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Magnetic Fields and Forces

Definition: Magnetic fields (B-fields) are forces that exert influence on magnetized materials, moving charges, and electrical currents.

Highlight: The force on a current-carrying wire in a magnetic field is given by F = BIlsinθ, where B is magnetic flux density, I is current, l is length, and θ is the angle between B-field and current.

Example: A moving charge in a magnetic field experiences a force F = Bqv, causing it to move in a circular path due to constant centripetal force.

Vocabulary: Tesla (T) - the unit of magnetic flux density, representing the field strength that causes a wire carrying 1A to experience a force of 1N per meter.

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Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

Download in

Google Play

Download in

App Store

4.9+

Average app rating

17 M

Pupils love Knowunity

#1

In education app charts in 12 countries

950 K+

Students have uploaded notes

Still not convinced? See what other students are saying...

iOS User

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

Philip, iOS User

The app is very simple and well designed. So far I have always found everything I was looking for :D

Lena, iOS user

Cool Science: Fleming's Rule, Hall Voltage, and Forces in Wires!

Hall Voltage

Current Carrying Wires and Solenoids

Uniform Electric Fields

Particle Accelerators

Magnetic Fields and Forces

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

17 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Cool Science: Fleming's Rule, Hall Voltage, and Forces in Wires!

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Hall Voltage

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Current Carrying Wires and Solenoids

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Uniform Electric Fields

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Particle Accelerators

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Magnetic Fields and Forces

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Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

17 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.