Faraday's law of induction
(43) f E . dl =- dφB
dt
Ampere's law
(44) 4 B. dl = μ i + -12 ɪ 4 E . dl
c 2 ∂t
II. Differential form in the absence of magnetic or polarizable media
Gauss' law for electricity
(45) V . E = ρ = 4πkρ
ε0
where ρ is the charge density and k = —1— is the Coulomb’s constant.
4πε0
Gauss' law for magnetism
(46) V.B = 0
Faraday's law of induction
(47)
V×E=
Ampere's law
(48)
V× B = —7
ε0c2
28