1. State Faraday's law in differential form for the general case of an arbitrary electric field. How is it derived from its integral form?
2. What is meant by the net right-lateral differential of the x- and y-components of a vector normal to the z-direction?
3. Give an example in which the net right-lateral differential of Ey and Ez normal to the x-direction is zero, although the individual derivatives are nonzero.
4. If at a point in space By varies with time but Bx and Bz do not, what can we say about the components of E at that point?