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Introduction to 
Electricity & Magnetism
(with Calculus)


EQUATIONS


   INFORMATION
Coulomb's Law

Coulomb's Law


 
Picture
Electric Field Strength

Electric Field Strength


 
Picture
Electric Field Strength for a System of Charges

Electric Field Strength for a System of Charges


 
Picture
Electric Field Strength for a Continuous Charge

Electric Field Strength for a Continuous Charge Distribution


 
Picture
Particle in an Electric Field

Particle in an Electric Field


 
Picture
Linear Charge Density

Linear Charge Density


 
Picture
Surface Charge Density

Surface Charge Density


 
Picture
Volume Charge Density

Volume Charge Density


 
Picture

Electric Flux

Electric Flux


 
Picture
Generalized Electric Flux

Generalized Electric Flux


 
Picture
Gauss' Law

Gauss' Law


 
Picture

Potential Difference Between Two Points

Potential Difference Between Two Points


 
Picture
Generalized Potential Difference

Generalized Potential Difference


 
Picture
Change in Potential Energy

Change in Potential Energy


 
Picture
Electric Potential

Electric Potential


 
Picture
Electric Potential Due to a Continuous Charge

Electric Potential of a Continuous Charge


 
Picture
Electric Potential Energy

Electric Potential Energy


 
Picture
Electric Potential (in terms of coordinates)

Electric Potential (in terms of coordinates)



 
Picture

Capacitance

Capacitance


 
Picture
Capacitance of Parallel Plates

Capacitance of Parallel Plates


 
Picture
Electric Dipole Moment

Electric Dipole Moment


 
Picture
Parallel Combination of Capacitors

Parallel Combination of Capacitors


 
Picture
Series Combination of Capacitors

Series Combination of Capacitors


 
Picture
Energy Stored in a Capacitor

Energy Stored in a Capacitor


 
Picture
Energy Density

Energy Density


 
Picture
Dielectric Constant

Dielectric Constant


 
Picture
Torque Acting on an Electric Dipole

Torque Acting on an Electric Dipole


 
Picture
Potential Energy of an Electric Dipole System

Potential Energy of an Electric Dipole


 
Picture

Average Current

Average Current


 
Picture
Current

Current


 
Picture
Picture
Current Density

Current Density


 
Picture
Ohm's Law (Generalized)

Ohm's Law (Generalized)


 
Picture
Ohm's Law

Ohm's Law



 
Picture
Resistance

Resistance


 
Picture
Picture
Resistivity (of a Metal)

Resistivity (of a Metal)


 
Picture
Resistivity (of a Conductor)

Resistivity (of a Conductor)


 
Picture
Average Current in a Conductor

Average Current in a Conductor


 
Picture
Drift Velocity

Drift Velocity


 
Picture
Electrical Power

Electrical Power



 
Picture
Picture
Work

Work


 
Picture

Electromotive Force (Maximum Voltage a Battery can Provide)

Electromotive Force (Maximum Voltage a Battery can Provide)


 
Picture
Series Circuits

Series Circuits


 
Picture
Picture
Parallel Circuits

Parallel Circuits


 
Picture
Picture
Kirchhoff Rule #1 (Junction Rule)

Kirchhoff Law #1 (Junction Rule)


 
Picture
Picture
Kirchhoff Rule #2 (Loop Rule)

Kirchhoff's Law #2 (Loop Rule)


 
Picture
Picture
Maximum Charge on the Capacitor

Maximum Charge on the Capacitor


 
Picture
Time Constant

Time Constant


 
Picture
Charging a Capacitor with a Battery

Charging a Capacitor with a Battery


 
Picture
Initial Current in the Circuit (with a Discharging Capacitor)

Initial Current in the Circuit (with a Discharging Capacitor)


 
Picture
Discharging a Capacitor

Discharging a Capacitor


 
Picture

Magnetic Dipole Moment

Magnetic Dipole Moment


 
Picture
Radius of the Path of a Charged Particle in a Magnetic Field

Radius of the Path of a Charged Particle in a Magnetic Field


 
Picture
Angular Speed of the Charged Particle

Angular Speed of the Charged Particle


 
Picture
Magnetic Force

Magnetic Force


 
Picture
Magnetic Force (in an Arbitrarily Shaped Wire)

Generalized Magnetic Force


 
Picture
Torque on a Current Loop

Torque on a Current Loop


 
Picture
Potential Energy of a Magnetic Dipole in a Magnetic Field

Potential Energy of a Magnetic Dipole in a Magnetic Field


 
Picture

Magnetic Flux

Magnetic Flux


 
Picture
Picture
Biot - Savart Law

Biot - Savart Law


 
Picture
Picture
Magnetic Force (Two Parallel Wires)

Magnetic Force (Two Parallel Wires)


 
Picture
Ampere's Law

Ampere's Law


 
Picture
Picture
Gauss' Law for Magnetism

Gauss' Law of Magnetism


 
Picture
Picture
Magnetic Field from a Long Straight Wire

Magnetic Field from a Long Straight Wire


 
Picture
Magnetic Field from a Toroid

Magnetic Field from a Long Straight Wire


 
Picture
Magnetic Field from a Solenoid

Magnetic Field from a Solenoid


 
Picture

Faraday's Law of Induction

Faraday's Law of Induction


 
Picture
Picture
Faraday's Law of Induction (Generalized)

Faraday's Law of Induction (Generalized)


 
Picture
Picture
Motional EMF

Motional Electromotive Force


 
Picture

Inductance

Inductance


 
Picture
Inductance of an Air - Core Solenoid

Inductance of an Air - Core Solenoid


 
Picture
Self - Inductance

Self - Inductance


 
Picture
Time Constant of the RL Circuit

Time Constant of the RL Circuit


 
Picture
Current in a RL Circuit

Current in a RL Circuit


 
Picture
Initial Current in a Discharging RL Circuit

Initial Current in a Discharging RL Circuit


 
Picture
Current Decay in a RL Circuit

Current Decay in a RL Circuit


 
Picture
Energy Stored in the Magnetic Field of an Inductor


 
Picture
Energy Density in a Location with a Magnetic Field


 
Picture
Mutual Inductance

Mutual Inductance


 
Picture
Induced EMF

Induced EMF


 
Picture
Angular Frequency in an LC Circuit

Angular Frequency in an LC Circuit


 
Picture
Angular Frequency in a RLC Circuit

Angular Frequency in a RLC Circuit


 
Picture
Charge on the Capacitor in a RLC Circuit


 
Picture

Inductive Reactance

Inductive Reactance


 
Picture
Capacitive Reactance

Capacitive Reactance


 
Picture
Impedance RLC Series AC Circuit

Impedance


 
Picture
Phase Angle

Phase Angle


 
Picture
RMS Current

RMS Current


 
Picture
RMS Voltage

RMS Voltage


 
Picture
Average Power in an RLC Circuit

Average Power in an RLC Circuit


 
Picture
Average Power in an RLC Circuit (in Terms of Resistance)

Average Power in an RLC Circuit (in Terms of Resistance)


 
Picture
RMS Current in a Series RLC Circuit

RMS Current in a Series RLC Circuit


 
Picture
Resonance Frequency of a Series RLC Circuit

Resonance Frequency of a Series RLC Circuit


 
Picture
AC Transformers

AC Tranformers


 
Picture

Displacement Current

Displacement Current


 
Picture
Poynting Vector

Poynting Vector


 
Picture
Picture
Lorentz Force Law

Lorentz Force Law


 
Picture
Picture
Gauss' Law (Maxwell's First Equation)

Gauss' Law (Maxwell's First Equation)


 
Picture
Gauss' Law for Magnetism (Maxwell's Second Equation)

Gauss' Law for Magnetism (Maxwell's Second Equation)


 
Picture
Picture
Faraday's Law of Induction (Generalized) 
(Maxwell's Third Equation)

Faraday's Law of Induction (Generalized) (Maxwell's Third Equation)


 
Picture
Picture
Ampere - Maxwell Law (Maxwell's Fourth Equation)

Ampere - Maxwell Law (Maxwell's Fourth Equation)


 
Picture
Speed of Light

Speed of Light


 
Picture
Frequency - Wavelength Relationship

Frequency - Wavelength Relationship



 
Picture
Picture
Electromagnetic Waves (Wave Equations)

Electromagnetic Waves (Wave Equations)


 
Picture
Radiation Pressure (Complete Absorption)

Radiation Pressure (Complete Absorption)


 
Picture
Average Value of the Poynting Vector

Average Value of the Poynting Vector


 
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