Question

Use the boundary conditions to derive electric fields due to an infinitely large

surface source with uniform charge density ρs that resides in the xoy plane in free space

Answer #1

Using the boundary conditions for the electric fields on the
interface of two media with refractive indices n_1 and n_2, derive
the Law of Refraction (Snell’s Law).

An infinitely large positively charged nonconducting sheet 1 has
uniform surface charge density σ1 = +130 nC/m2 and is located in
the xz plane of a Cartesian coordinate system. An infinitely large
positively charged nonconducting sheet 2 has uniform surface charge
density σ2 = +90.0 nC/m2 and intersects the xz plane at the z axis,
making an angle θ = 30∘ with sheet 1.
Part A
Determine the expression for the electric field in the region
between the sheets for...

a) Use Gauss’s Law to derive radial dependence of the electric
field inside a very long cylindrical shell of radius R and surface
charge density σ?
b) Same as a) except outside the shell?
explain it clear plz

[Draw the electric field around Earth. Draw a Gaussian
surface and use Gauss’ law, explaining your steps.]
If the Earth were a large conducting sphere, what would the
(negative) surface charge density have to be to maintain an
electric field of 150.0 N/C at the surface? Use ε0 =
8.85 x 10-12 C2/N m2 and give your
answer to 2 s.f.

Suppose that an electromagnetic wave which is linearly polarized
along the x−axis is propagating in vacuum along the z−axis. The
wave is incident on a conductor which is placed at z > 0 region
of the space. The conductor has conductivity σ, magnetic
permeability µ and electric permittivity ε.
(a) Find the characteristic time for the free charge density
which dissipates at the conductor.
(b) Write the Maxwell equations and derive the wave equation for
a plane wave propagating in...

1) 2 point charges are separated by a distance of 8 cm. The left
charge is 48 mC and the right charge is -16mC. Using a full sheet
of paper: draw the 2 charges separated by 8cm, centered in the
sheet. (if you are missing a ruler estimate 8cm as ⅓ a paper sheet
length). [6] a) Draw field lines to indicate the electric fields
for this distribution. [4] b) Draw 3 equipotential surfaces, 1
each, that pass: -Through the...

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