E&M Flashcards
Gauss’s Law (differential and integral forms)
*in linear dielectric media, use permittivity of medium, not of free space
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Potential and field relationship
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Definition of potential difference
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Potential and charge density relationship
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Potential and charge relationship in empty space
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Electric potential of an extended body relative to V = 0 at infinity
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Gauss’s law in integral form
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Electric field of a point charge
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Potential of a point charge
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Electric field of an infinite sheet
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Parallel field boundary condition
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Perpendicular field boundary condition
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Work to assemble a collection of point charges
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Work to assemble a continuous distribution of point charges, given charge density and potential
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Work to assemble a continuous distribution of point charges, given field
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Definition of capacitance and differential relationship
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Parallel Plate Capacitance
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Energy of a capacitor given charge and capacitance
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Capacitor energy given capacitance and voltage
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Gauss’s Law for Magnetism
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Integral form of Gauss’s law for magnetism
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Vector potential
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Magnetic force on a moving charge
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Magnetic force on a wire
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Biot-Savart Law
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Magnetic field of a wire
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Magnetic field of a solenoid
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Magnetic field of a toroid
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Perpendicular B field boundary condition
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Parallel B field boundary condition
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Energy stored in a magnetic field
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Cyclotron radius
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Cyclotron frequency
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Faraday’s law
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Maxwell-Ampere Law
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Faraday’s law (circuit form)
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Mutual inductance
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Definition of (self) inductance
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EMF of an inductor
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(Self) inductance of a solenoid
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Energy stored in an inductor
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Electric dipole moment
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Electric dipole moment of a continuous charge density
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Electric dipole potential
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Torque on an electric dipole
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Energy of an electric dipole
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Magnetic dipole moment of a current carrying loop
m = I A
Torque on a magnetic dipole
N = m x B
Energy of a magnetic dipole
U = - m • B
Potential of a surface charge
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Potential of a volume charge
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Electrical permittivity
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Speed of light in vacuum (variable expression)
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Radiating electric field
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Radiating magnetic field
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Poynting Vector
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Poynting vector given complex E and B
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Definition of intensity of electromagnetic radiation
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Total power radiated by an accelerating point charge
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Intensity of electric dipole radiation
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Total power radiated from an electric dipole
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Total power radiated from a magnetic dipole
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Resistor voltage
V=IR
Capacitor voltage
V=Q/C
Inductor voltage
V = L dI/dt
Serial resistance
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Serial capacitance
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Serial inductance
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Parallel resistance
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Parallel capacitance
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Parallel inductance
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Resistance given resistivity
R = ρℓ / A
Power given current and voltage
P = IV
Power given voltage and resistance
P = V2 / R
Power given current and resistance
P = I2R
Characteristic time constant of an RL circuit
τ = L/R
Characteristic time constant of a RC circuit
T = RC
Resonant frequency of an RLC circuit
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Hooke equivalent of velocity
v –> I
Hooke equivalent of charge
x –> q
Hooke equivalent of mass
m –> L
Hooke equivalent of damping resistance
b –> R
Hooke equivalent of spring stiffness
1/k –> C
Hooke equivalent of driving force amplitude
F –> V
Index of refraction
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