State Gauss's law for electric fields in integral form.

State Gauss's law for magnetism in integral form.

State Faraday's law in integral form.

State the Ampere-Maxwell law in integral form.

What does \(\nabla\cdot\vec E=\rho/\epsilon_0\) mean physically?

What does \(\nabla\cdot\vec B=0\) mean physically?

What does \(\nabla\times\vec E=-\partial\vec B/\partial t\) describe?

What does \(\nabla\times\vec B=\mu_0\vec J+\mu_0\epsilon_0\partial\vec E/\partial t\) describe?

Which Maxwell equation explains why there are no isolated north or south magnetic poles in the classical theory?

Which Maxwell equation must be used to find the emf around a loop when the magnetic flux changes?

In electrostatics, which Maxwell equations simplify and why?

In magnetostatics, what does the Ampere-Maxwell law reduce to?

Use Maxwell's equations to identify the speed of electromagnetic waves in vacuum.

Calculate \(1/\sqrt{\mu_0\epsilon_0}\) using \(\mu_0=4\pi\times10^{-7}\,\mathrm{N\,A^{-2}}\) and \(\epsilon_0=8.85\times10^{-12}\,\mathrm{F\,m^{-1}}\).

What happens to Maxwell's equations in a charge-free, current-free vacuum region?

How does Maxwell's displacement-current term support charge conservation?

A closed surface encloses \(+3.0\,\mu\mathrm{C}\). What is the electric flux through the surface?

A closed surface has \(0.020\,\mathrm{Wb}\) of magnetic flux entering it. How much magnetic flux must leave it?

Which pair of Maxwell equations shows how time-varying fields can sustain an electromagnetic wave?

Why are Maxwell's equations often described as a unified theory of electricity, magnetism, and light?