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Magnetic Force Definition

Two bar magnets showing attraction and repulsion forces with arrows indicating direction of force
Magnetic force causes attraction between opposite poles and repulsion between like poles

Magnetic force is the push or pull that magnets exert on each other and on certain materials. It's what makes magnets stick to your refrigerator or push away from each other when you try to force the same ends together.

Magnetic force is created by moving electric charges. When electrons move through a wire or spin around an atom's nucleus, they create tiny magnetic fields. In magnetic materials, many of these tiny fields align to create a noticeable magnetic force.

Attraction & Repulsion

Diagram showing magnetic field lines between two magnets attracting and repelling
Opposite poles attract while like poles repel each other

One of the most interesting things about magnetic force is that it can both attract and repel. This happens because every magnet has two poles: a north pole and a south pole.

The rule is simple: opposite poles attract, and like poles repel. This means north and south poles pull toward each other, while north-north or south-south combinations push away from each other.

1

Opposite Poles

North and south poles attract each other

2

Like Poles

North-north or south-south poles repel each other

3

Field Lines

Attraction happens when field lines connect between poles

4

No Monopoles

All magnets have both north and south poles

You can feel this force yourself by trying to push two magnets together. When the same poles face each other, you'll feel them pushing apart. When opposite poles face each other, they'll snap together.

Lorentz Force

Diagram showing a charged particle moving through a magnetic field and experiencing a perpendicular force
The Lorentz force acts on moving charged particles in a magnetic field

The Lorentz force is the force that a magnetic field exerts on a moving charged particle, like an electron or proton. This force is always perpendicular to both the direction the particle is moving and the direction of the magnetic field.

The Lorentz force explains why charged particles move in curved paths in magnetic fields. This is important in many technologies, from old-fashioned television tubes to modern particle accelerators.

Formula

The Lorentz force formula is F = q(v × B), where F is force, q is charge, v is velocity, and B is magnetic field strength.

Circular Motion

Because the force is always perpendicular to motion, charged particles move in circles or spirals in magnetic fields.

Right-Hand Rule

Diagram illustrating the right-hand rule for determining direction of magnetic force
The right-hand rule helps determine the direction of magnetic force

Scientists use a handy trick called the right-hand rule to figure out the direction of magnetic force. It helps predict which way a charged particle will curve when moving through a magnetic field.

Here's how it works: Point your fingers in the direction of the magnetic field (north to south). Point your thumb in the direction of positive current flow (or opposite to electron flow). Your palm will then face the direction of the force on a positive charge.

Right-Hand Rule: Fingers → Field | Thumb → Current | Palm → Force

Remember

The right-hand rule works for positive charges. For negative charges like electrons, the force is in the opposite direction.

Practice

Try using the right-hand rule with a simple electromagnet. Predict the direction of force, then test your prediction!

The right-hand rule might seem tricky at first, but with practice, it becomes a powerful tool for understanding how magnetic forces work on moving charges.

Magnetic Force Formula

Visual representation of the magnetic force formula with labeled components
The magnetic force formula helps calculate the strength of magnetic forces

Scientists and engineers use mathematical formulas to calculate the strength of magnetic forces. The basic formula for the magnetic force on a moving charged particle is:

F = q × v × B × sin(θ)

Where:
• F is the magnetic force
• q is the electric charge
• v is the velocity of the charge
• B is the magnetic field strength
• θ is the angle between the velocity and magnetic field

Maximum Force

When a charged particle moves perpendicular to the magnetic field (θ = 90°), sin(90°) = 1, so the force is at its maximum: F = q × v × B.

Zero Force

When a charged particle moves parallel to the magnetic field (θ = 0°), sin(0°) = 0, so the magnetic force is zero.

Force on Current-Carrying Wire

Diagram showing a current-carrying wire in a magnetic field experiencing a force
A wire carrying electric current experiences force in a magnetic field

When an electric current flows through a wire in a magnetic field, the wire experiences a force. This happens because the moving electrons in the current each experience a tiny Lorentz force, and all these tiny forces add up to push the whole wire.

This principle is what makes electric motors work. The force on the current-carrying wire makes it move, which can then turn wheels, fans, or other mechanical parts.

1

Current Flow

Electrons move through the wire creating current

2

Magnetic Field

An external magnetic field surrounds the wire

3

Force on Electrons

Each moving electron experiences a Lorentz force

4

Wire Movement

The combined force on all electrons moves the wire

The formula for the force on a straight current-carrying wire is F = I × L × B × sin(θ), where I is current, L is wire length, B is magnetic field strength, and θ is the angle between the wire and magnetic field.

Magnetic Force Quiz

Test your understanding of magnetic force with this quiz! Answer all 5 questions to see how much you've learned.

1. What is the rule for magnetic poles?
2. What is the Lorentz force?
3. According to the right-hand rule, what does your thumb represent?
4. When is the magnetic force on a charged particle greatest?
5. What creates the force on a current-carrying wire in a magnetic field?

Frequently Asked Questions

Here are answers to some common questions about magnetic force:

Science Trivia

Discover some amazing facts about magnetic force!

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