MindMap Gallery Engineering electromagnetic fields
Mainly covers the physical concepts and calculation methods of electric charge, constant magnetic field, vector analysis. This mind map helps you become familiar with the key points of knowledge and enhance your memory. Students in need can save it.
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This is a mind map about the interpretation and summary of the relationship field e-book, Main content: Overview of the essence interpretation and overview of the relationship field e-book. "Relationship field" refers to the complex interpersonal network in which an individual influences others through specific behaviors and attitudes.
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Knowledge framework of engineering electromagnetic fields
electrostatic field
properties of charge
There are two types of charges: positive and negative
There is an interaction between charges: same-sex repels and opposite-sex attracts
charge quantization effect
charge invariance
Electric field strength calculation
field strength of point charge
electric field of point charge system
A charged body with a continuously distributed charge
body density
Areal density
Line density
Electric field strength calculation for electric dipole
E = k * q / r^2
Coulomb's law
force formula
F = k * q1 * q2 / r^2
k is Coulomb’s constant
q1 and q2 are point charges
r is the distance between point charges
Gauss's law
Electric flux formula
Φ = ∫E * dA
Φ is the electric flux
E is the electric field strength
dA is the tiny surface element vector of the closed surface
electrical potential energy and electric potential
Electric potential energy formula
U = k * q1 * q2 / r
U is the electric potential energy
q1 and q2 are point charges
r is the distance between point charges
Electric potential formula
V = k * q / r
V is the electric potential
q is the point charge
r is the distance from the point charge to the field point
constant magnetic field
Magnetic induction intensity
magnetic field
Magnetic induction intensity
H=B/μ0-M
magnetic flux
∮=BS
Ampere's circuit law
Loop integral formula
∮B*ds=0
∮H*dl=I
Bio-Savart's Law
Magnetic field strength formula
dB = (μ0 / 4π) * (I * dL * sinθ) / r^2
Media magnetization and basic equations
Magnetization in the medium
magnetic dipole
magnetic field equation
∇xB=0
∇xH=J
Media interface conditions
magnetic energy
Self-induction coil
Wm=1/2(μ0 ^ 2V)I^2, where μ0 is the vacuum magnetic Conductivity, n is the turns density of the coil, V is the volume of the coil, 1 is the current
Magnetic field energy density
Wm=1/2B·H, where B represents the magnetic induction intensity and H represents the magnetic field intensity.
magnetic field energy
E-1/2/B-HdV, where day represents the magnetic induction intensity, H represents the magnetic field strength, dV represents the volume element
vector analysis
Vector differential operations
gradient
definition
grad f = ∇f
∇ is the gradient operator
f is a scalar field function
physical meaning
Represents the direction of the maximum rate of change of the scalar field function at each point in space
divergence
definition
div A = ∇·A
∇· is the divergence operator
A is the vector field function
physical meaning
Density representing the source or sink of a vector field
curl
definition
curl A = ∇×A
∇× is the curl operator
A is the vector field function
physical meaning
Represents the degree and direction of rotation of the vector field
vector integral operation
line integral
definition
∫C F·dl
F is the vector field function
dl is the tiny line element vector on path C
physical meaning
represents the cumulative effect of the vector field along path C
Surface integral
definition
∫S F·dA
F is the vector field function
dA is the tiny surface element vector on the surface S
physical meaning
Represents the cumulative flow of the vector field through the surface S
volume fraction
definition
∫V F·dV
F is the vector field function
dV is a tiny volume element within the volume V
physical meaning
Represents the cumulative total amount of vector field in the volume V