To Find or Apply

Use This Equation

Page

Coulomb’s
Law


7

Work
done in assembling an N charge system


13

Electric
Field of a Charge Distribution at Point (x,y,z)

^{
}

16

Flux


22

Gauss’s
Law


24

Field
of a Spherical Charge Distribution


25

Field
of a Line Charge


28

Field
of an Infinite Sheet


28

Potential
Energy of a System


32

Derivation
of E Field from Potential


48

Differential
Form of Gauss’s Law


58

Poisson’s
Equation


64

Laplace’s
Equation


64

Stokes’s
Theorem


70

E
Field at a Point Above an Infinite Plane

^{
}

99

Capacitance


103

Parallel
Plate Capacitor


105

Potential
Energy Stored in Capacitance


110

Current
Density


125

Current
in Terms of J


126

Ohm’s
Law


129

Relationship
Between E field and J


132

Power
in a Circuit


153

Charge
in a Circuit After the Switch is Closed

^{
}

160

Current
in a Circuit After the Switch is Closed


160

Magnetic
Field


173

Amount
of Charge Inside a Boundary (Moving Charge)


175

Invariance
of Charge


178

Electric
Field Transformation

E´_{}
= E_{}
; E´_{^} = g E_{^}

181

Fields
of Point Charge Moving with Constant Velocity


183

E
Field of Moving Charge (Constant Velocity)

^{
}

185

Angle
Change in Field Lines due to Acceleration of Charge


189

Force
in Relation to q and E is Independent of Frame


191

Linear
Density of Negative Charge in Electron’s Rest Frame

_{
}

195

Magnetic
Field Surrounding a Current Carrying Wire


209

Current
in a Wire in Regards to n and v


211

Current
Versus Magnetic Field


217

Curl
B


219

Div
B


219

Vector
Potential


220

BiotSavart
Law


225

Field
at Center of Ring


227

Field
of Infinite Solenoid


228

Jump
in B Field Across an Infinite Sheet


232

Transformation
of Fields

E´_{}
= E_{ } E´_{^} = g(E_{^}
+ b ´
B_{^})
B´_{}
= B_{ } B´_{^} = g(B_{^}
+ b ´
E_{^})

239

Emf
From a Loop Moving Through a Magnetic Field (Nonuniform)


263

Emf
of a Spinning Loop Through a Magnetic Field


268

Faraday’s
Law of Induction


272

E
in Relation to B


273

Mutual
Inductance


277

Self
Inductance


281

Energy
in Magnetic Field


286

AC
Circuit Equations


298

a for a Resonant Circuit


299

w for a Resonant Circuit


299

Current
in an LR Circuit


305

Current
in an RC Circuit


306

Ohm’s
Law with Impedances


314

Average
Power in AC Circuit


315

Displacement Current


328

Maxwell’s
Equations


330

Maxwell’s
Equations in Empty Space


331

Power
Density of Electromagnetic Wave


340

Wave
Transformation Invariant


343

Dipole
Moment


356

Polar
Components of the E Field from a Dipole

^{
}

357

Torque
on a Dipole


359

Force
on a Dipole


361

Spatial
Average of E Field


370

E
field and Capacitance of Dielectric


~370

Maxwell’s
Eqs. for an Electromagnetic Wave in a Dielectric


390

Vector
Potential of a Magnetic Field


408

Force
on a Magnetic Dipole


413

Torque
on a Magnetic Dipole


419

Magnetic
Susceptibility


422

Surface
Current


424

Curl
M


427

H
Field


432

Magnetic
Permeability


437
