E&M Flashcards by Patrick Staudt

Q

Gauss’s Law (differential and integral forms)

A

*in linear dielectric media, use permittivity of medium, not of free space

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Q

Potential and field relationship

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Q

Definition of potential difference

A

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Q

Potential and charge density relationship

A

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Q

Potential and charge relationship in empty space

A

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Q

Electric potential of an extended body relative to V = 0 at infinity

A

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Q

Gauss’s law in integral form

A

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Q

Electric field of a point charge

A

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Q

Potential of a point charge

A

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Q

Electric field of an infinite sheet

A

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Q

Parallel field boundary condition

A

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Q

Perpendicular field boundary condition

A

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Q

Work to assemble a collection of point charges

A

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Q

Work to assemble a continuous distribution of point charges, given charge density and potential

A

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Q

Work to assemble a continuous distribution of point charges, given field

A

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Q

Definition of capacitance and differential relationship

A

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Q

Parallel Plate Capacitance

A

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Q

Energy of a capacitor given charge and capacitance

A

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Q

Capacitor energy given capacitance and voltage

A

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Q

Gauss’s Law for Magnetism

A

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Q

Integral form of Gauss’s law for magnetism

A

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Q

Vector potential

A

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Q

Magnetic force on a moving charge

A

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Q

Magnetic force on a wire

A

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Biot-Savart Law

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Magnetic field of a wire

Magnetic field of a solenoid

Magnetic field of a toroid

Perpendicular B field boundary condition

Parallel B field boundary condition

Energy stored in a magnetic field

Cyclotron radius

Cyclotron frequency

Faraday's law

Maxwell-Ampere Law

Faraday's law (circuit form)

Mutual inductance

Definition of (self) inductance

EMF of an inductor

(Self) inductance of a solenoid

Energy stored in an inductor

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Electric dipole moment

Electric dipole moment of a continuous charge density

Electric dipole potential

Torque on an electric dipole

Energy of an electric dipole

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

Potential of a volume charge

Electrical permittivity

Speed of light in vacuum (variable expression)

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Radiating electric field

Radiating magnetic field

Poynting Vector

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Poynting vector given complex E and B

Definition of intensity of electromagnetic radiation

Total power radiated by an accelerating point charge

Intensity of electric dipole radiation

Total power radiated from an electric dipole

Total power radiated from a magnetic dipole

Resistor voltage

V=IR

Capacitor voltage

V=Q/C

Inductor voltage

V = L dI/dt

Serial resistance

Serial capacitance

Serial inductance

Parallel resistance

Parallel capacitance

Parallel inductance

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

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