|
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
|
|
Biot-Savart
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
|
