In Figure A1 in the attachment, the boundary between two ideal dielectrics is shown. Near the boundary, on Er1 side, the electric field is measured and found to be perpendicular to the boundary and equal to 100 V/m.

a) What is the direction of the electric field E, near that boundary and on Er2 side?

b) What is the magnitude of E2, given that Er2 = 5 Er1?

Please see the attachment for the complete question.

a. A piece of plexiglass (k = 3.2) is placed above an infinite plane of charge with charge density sigma = 0.1 uC/m^2. Compute the bound charge on the bottom surface of the dielectric. Be careful of the sign.
b. A material is charged such that the electric field just inside it is 10N/C and is pointed into the boundary. The e

Show that the field inside a spherical cavity cut in a uniform dielectric medium is uniform and of magnitude
Ecav = 3erEm/(2Er+1),
where er is the relative permittivity of the medium and Em is the uniform field in the dielectric at a point distant from the cavity.

dP/dT = L/T deltaV,
is a differential equation that can, in principle, be solved to find the shape of the entire phase-boundary curve. To solve it, however, you have to know how both L and deltaV depend on temperature and pressure. Often, over a reasonably small section of the curve, you can take L to be constant. Moreover, i

A boundary-less organizational design is one where are permeable. The implication is that the vertical, horizontal, external, and geographic boundaries are more favorable to helping one another; thus sharing information and knowledge between business units is more predominant than traditional organizational structures. True or f

1. The space between the spaces of a parallel plate capacitor is filled with two slabs of linear dielectric material. The slabs have different dielectric constants but the same length L, width W and thickness d. (note the area of the top (or bottom) of the capacitor is 2*L*W). Slab 1 has a dielectric constant of e1=2 and slab 2

3. Solve the boundary-value problem, if possible.
a. y''-6y'+9y =0, y(0) =1 and y(1) = 0
b. 9y''-18y'+10y = 0 , y(0) =0 and y(pie) = 1
4. If a, b and c are all positive constants and y(x) is a solution of the differential equation ay''+by'+cy = 0, show that lim x->infinity y(x) = 0

Uxx means second derivative with respect to x
Uyy means second derivative with respect to y
Uxx + Uyy = 0, 0 < x < pi, 0 < y < pi
U(x,0) = 0, U(x,pi) = 1, 0 < x < pi
U(0,y) = 0, U(pi,y) = 1 0 < y < pi
I know the problem has to be broken into 2 separate problems using U = V + W with zero conditions on 3 sides fo

Consider the following subsets of (FUNCTION1) and (FUNCTION2). The subspaces X and Y of (SYMBOL) inherit the subspace topology. In the following cases determine the interior, the closure, the boundary and the limit points of the subsets:
1, 2 and 3
*(For complete problem, including properly cited functions and symbols, pleas

How do you show that the Green's function is always symmetric under Dirichlet boundary condition but symmetric under Neumann boundary condition only with certain modification? The specific problem is attached below.