The Helmholtz theorem at last!
Recall in class the Helmholtz theorem that says that if
if r E =0
if r B =0
then E can be written as
then B can be written as
(a) Let n be a unit vector. Show that any vector C can be decomposed
This problem will study defects in parallel plate capacitors. A parallel plate capacitor has
area, A, and separation, D, and is maintained at the potential dierence, V = Eo D. There
are n defects per unit area on the lower plate and non
(a) Show that electric eld and magnetic eld have units
(force)/area or energy/volume.
(b) A rule of thumb that you may need in the lab is that coaxial cable has a capcitance
of 12 pF/foot. That is why cable length must be kept to a mi