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Electric field

physical science Maturity 7-9 Next article →

An electric field, often called an E-field, is a physical field that surrounds electrically charged particles. These particles include things like electrons. The field describes how a charge can exert a force on another charged object. This force can be attractive or repulsive. If two charges have opposite signs, one positive and one negative, they attract each other. If they have the same sign, they repel each other.

VFPt charges plus minus thumb
VFPt charges plus minus thumb

Because these forces are mutual, two charges must be present for the force to occur. This field is a vital part of the electromagnetic field, which is one of the four fundamental interactions in nature.

To understand how the field works, we look at Coulomb's law. This law describes the relationship between the charges and the distance between them. The magnitude of the force depends on the amount of charge. A greater charge results in a greater force. The distance also plays a huge role. As the distance between charges increases, the force becomes weaker. Specifically, the field follows an inverse-square law. This means if you move twice as far away, the field strength becomes only one-quarter of its original value.

Electric dipole - axial and equatorial problem
Electric dipole - axial and equatorial problem

If you were to double the source charge, the electric field would also double.

Scientists define the electric field as a vector field. A vector is a value that has both a magnitude and a direction. At every point in space, the electric field represents the force exerted on a tiny, stationary positive test charge. This is often described as the force per unit of charge. The standard SI unit for measuring an electric field is the volt per meter (V/m). This is also equal to the newton per coulomb (N/C).

VFPt capacitor-square-plate
VFPt capacitor-square-plate

This mathematical description allows physicists to calculate exactly how much force a charge will feel at any specific location.

We can visualize these invisible fields using electric field lines. This concept was introduced by the scientist Michael Faraday, who called them "lines of force." These lines show the direction of the field at every point. There are specific rules for these lines. They always originate from positive charges and end at negative charges. They never cross each other or close in on themselves. They also enter all good conductors at right angles.

Electrostatic induction
Electrostatic induction

The density of these lines tells us about the field's strength. Where the lines are packed tightly, the field is strong. Where they are spread out, the field is weak.

There are two distinct types of electric fields based on how they behave. The first type is the electrostatic field. These fields are created by stationary charges or unchanging currents. The study of these stationary fields is called electrostatics. The second type arises from time-varying magnetic fields. This is part of a larger field of study called electrodynamics. Faraday's law describes how a changing magnetic field creates an electric field. In the absence of a changing magnetic field, the electric field is considered conservative or "curl-free."

In many systems, electric fields follow the principle of superposition. This principle states that the total electric field at a single point is the sum of all individual fields. If you have a collection of many charges, you can find the total field by adding the fields from each charge together. This works for both discrete point charges and continuous charge distributions. For example, you can calculate the field for a line of charge or a surface of charge by summing up all the tiny parts.

Charged infinite wire problem
Charged infinite wire problem

This mathematical approach is essential for solving complex problems in physics.

Electric fields are not just theoretical; they are the reason the physical world exists. In atomic physics, the electric field creates the force between the atomic nucleus and the electrons. This interaction is what holds the particles together to form an atom. Similarly, the electric field between atoms is responsible for chemical bonding. This bonding is what allows atoms to join together to create molecules.

Cat demonstrating static cling with styrofoam peanuts
Cat demonstrating static cling with styrofoam peanuts

Without these fields, matter as we know it could not form or stay connected.

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🖼️ Images & Media (14)
File:VFPt image charge plane horizontal.svg
VFPt image charge plane horizontal.svg
File:Cat demonstrating static cling with styrofoam peanuts.jpg
Cat demonstrating static cling with...
File:VFPt charges plus minus thumb.svg
VFPt charges plus minus thumb.svg
File:VFPt capacitor-square-plate.svg
VFPt capacitor-square-plate.svg
File:Electrostatic induction.svg
Electrostatic induction.svg
File:Bremsstrahlung.gif
Bremsstrahlung.gif
File:Charged infinite wire problem.svg
Charged infinite wire problem.svg
File:Charged infinite plane problem.svg
Charged infinite plane problem.svg
File:Charged infinite cylinder problem.svg
Charged infinite cylinder problem.svg
File:Charged solid sphere problem.svg
Charged solid sphere problem.svg
File:Charged spherical surface problem.svg
Charged spherical surface problem.svg
File:Charged ring problem.svg
Charged ring problem.svg

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