Each link below leads two different variations of equation sheets used in the electromagnetism unit OpenStax University Physics (Volume 2 Unit 2).
8.85×10−12 F/m = vacuum permittivity.
e = 1.602×10−19C: negative (positive) charge for electrons (protons)
= 8.99×109 m/F
where
where
= field above an infinite plane of charge.
= electric flux
where
= electric potential
= change in potential energy (or simply
)
Electron (proton) mass = 9.11×10−31kg (1.67× 10−27kg). Elementary charge = e = 1.602×10−19C.
=kinetic energy. 1 eV = 1.602×10−19J
near isolated point charge
Many charges:
.
defines capacitance.
where A is area and d<<A1/2 is gap length of parallel plate capacitor
= stored energy
= energy density
Electric current: 1 Amp (A) = 1 Coulomb (C) per second (s)
Current=
, where
= (density, charge, speed, Area)
where
=current density.
= electric field where
= resistivity
, and
,
where
is resistance
and Power=
AC voltage and current
if ![{\displaystyle i=I_{0}\sin \omega t.}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e11e43922346c3075e2eacb6ceb1482dbc0bbd99)
RMS values
and
Impedance ![{\displaystyle V_{0}=I_{0}X}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8994cf31e557832309cb4f8034cf8208621c71a8)
Resistor
where ![{\displaystyle X_{R}=R}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ce042139fff5362d89daf9063cd0a51a45257d86)
Capacitor
where ![{\displaystyle X_{C}={\tfrac {1}{\omega C}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2044d1fe2d05374f136310d6c4f1d6d022b6a3dd)
Inductor
where ![{\displaystyle X_{L}=\omega L}](https://wikimedia.org/api/rest_v1/media/math/render/svg/09cb8abad32c8d108f1ed4ac6bacddc49b38f5eb)
RLC series circuit
where
and ![{\displaystyle \phi =\tan ^{-1}{\frac {X_{L}-X_{C}}{R}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6980c7e56bb2a05cd46a98c75913221f98c2613b)
Resonant angular frequency ![{\displaystyle \omega _{0}={\sqrt {\tfrac {1}{LC}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6b756cf9ce523e4b7efd8b611b6143811051614f)
Quality factor ![{\displaystyle Q={\tfrac {\omega _{0}}{\Delta \omega }}={\tfrac {\omega _{0}L}{R}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7333599381df3977a4bb4b9c1e42463019d29d53)
Average power ![{\displaystyle P_{ave}={\frac {1}{2}}I_{0}V_{0}\cos \phi =I_{rms}V_{rms}\cos \phi }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d45ef1373c474bd43bbc540f1eadf4bbd9fc9bef)
Transformer voltages and currents ![{\displaystyle {\tfrac {V_{S}}{V_{P}}}={\tfrac {N_{S}}{N_{P}}}={\tfrac {I_{P}}{I_{S}}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ff688e41bf93bd0956ca7cbf4e568875a5503c1f)
(Vol. 2):
5:Electric Charges and Fields
6:Gauss's Law
7:Electric Potential
8:Capacitance
9:Current and Resistance
10:Direct-Current Circuits
11:Magnetic Forces and Fields
12:Sources of Magnetic Fields
13:Electromagnetic Induction
14:Inductance
15:Alternating-Current Circuits
16:Electromagnetic Waves
Subpages
- ↑ transclusions between OpenStax_University_Physics/E&M#Index and Quizbank/Electricity and Magnetism (calculus based)/Equations