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# Physics Equations: E&M

Part 2 of the equation posts: E&M. Again, if you see any mistakes or have a few equations to add, make sure to utilize the comment section! I'll add it in right away.

Electrostatics

E= Fe/q = kq/r

λ = Q/L

ρ = Q/V

σ = Q/A

Electric potential

Ue = kq1q2/r

F = -dU/dl

V = k ∑ qi/ri = W/q

∆V= Vb - Va = ab E dl = ∆U/q

Gauss's Law:

Conductors

Esurface=

Vinside =

Einside =

Capacitor

C=Q/V =

Uc =

Ue = field energy density =

Energy = V/d

C= w/ = Dielectric constant

Circuits

I =

I = V/R

I = NqVdA = NeVdA

Current density (J) = NqVd = I/A

charging up: w = I2V

charging down: U = CV2

= RC

5 = 99% charged/discharged

Resistance

R=

E=

P=IV

E= J

W= qv

Series Circuit

Ceq =

I= constant

V=IR

Req= R1+R2+...

Q=CV

Parallel Circuit

Ceq = C1 + C2 + ...

I = V/R

V= constant

Q=CV

Batteries:

Videal = V = mf = VT

V with resistance = Iri = VT

Pbattery = W/t = = I

Pexternal resistor = I2R

Pinternal resistor = I2ri

Magnetism

Gauss's Law: dA = O

Amphere's Law: Ipen

...for a wire of radius R, B =

Biot-Savart law: dB = (dl X r)

...for a loop of wire, B =

=

=

solenoid: B =

toroid: B =

Mag. moment () =NIA =NIR2

Mag. torque=

...sorry that took so long to post up, jeez that code takes a while to type up ^-^ Feel free to add/correct in the comments section!

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