Electricity and Magnetism

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Electricity and Magnetism

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Electric Charges

What is electric charge and how do charged particles interact? Learn about Coulomb's law, the fundamental relation describing the force between charges.
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ChargesFree

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Coulomb’s law

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Conductors and insulators

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Conservation of charges

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Electric Fields

What is an electric field? How is an electric field created? Learn how to visualize and electric field and how charges interact with that field.
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Fields

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Electric field lines

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Electric fields due to a charged particle

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Electric fields due to a dipole

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Electric fields due to a line of charge

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Electric fields due to a charged disk

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A point charge in an electric field

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A dipole in an electric field

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Gauss' Law

Gauss's law is a remarkable relation between the electic field that permeates a closed surface and the charge enclosed within that surface. Learn how Gauss's law can determine the electric field for symmetric distributions of charge.
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Electric flux

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Gauss

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A charged isolated conductor

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Cylindrical symmetry

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Planar symmetry

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Spherical symmetry

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Electric Potential

Electric field is a vector quantity associated with a distribution of charges. In many cases we can get all the information we need about a charge distribution without vectors by using the electric potential. Learn how electric potential can simplify many electromagnetism problems and the relation between charge, electric potential, and energy.
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Electric potential energy

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Equipotential surfaces

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Calculating the potential from a field

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Potential from a charged particle

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Potential from an electric dipole

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Potential due to a continuous charge distribution

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PE of a systems of charged particles

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Potential of a charged isolated conductor

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Capacitance and Dielectrics

How can we store electric energy? Can a current flow through empty space? How does a non-metal respond to an electric field? The answers lie in this unit on capacitance and dielectrics.
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Capacitance and its calculation

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Capacitors in parallel

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Capacitors in series

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Energy stored in an electric field

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Capacitor with a dielectric

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Dielectrics and Gauss’ law

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Current and Resistance

What is current? What types of charge move to create a current? Learn about Ohm's law which relates current, electric potential, and resistance a property of every material. Ohm's law is at the heart of understanding electrical circuits.
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Electric current

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Resistance and resistivity

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Ohm’s law

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Power in electric circuits

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Superconductors

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Electric Circuits

Learn how simple circuits consisting of batteries, resistors, capacitors, and inductors can control voltages and the flow of current.
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Single-loop circuits

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Multi-loop circuits

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The ammeter and voltmeter

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RC circuits

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Oscillations and Alternating Current

How does alternating current differ from direct current? Why is alternating current so widley used and how is it beneficial? Learn about oscillations, resonance, and RLC circuits in this theme.
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Oscillations

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Alternating current

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Magnetic Fields and Forces

How does magnetism relate to the electrical concepts of charge and current? Learn how only moving charges feel magnetic forces and how magnetic fields are only created by moving charge.
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Maxwell’s equations

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Sources of magnetic fields

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Electrons and electric fields

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The hall effect

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A circulating charged particle

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Magnetic fields due to a current

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Ampere’s law

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Solenoids and toroids

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Induction and Inductance

Electricity and magnetism are inextricably linked. The theory combining these twos seemingly separate effects was one of the triumphs of classical physics. Learn here about Faraday's and Lenz's laws which explain how changing magnetic fields create voltages and currents.
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Faraday’s law

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Electromagnetic Waves

How does the visible light relate to electromagnetism? Discover how all light is a form of electromagnetic radiation and apply the properties of waves to explain how light behaves.
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Polarization

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Reflection

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Refraction

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