E field of a uniform and planar distribution of charge
A uniform surface charge density of 5nC/m2 is present in the
region x=0, -2<y<2 and all z. if ε=ε0, find E at:
a) PA(3,0,0)
b) PB(0,3,0).
E field of a uniform and planar distribution of charge
A uniform surface charge density of 5nC/m2 is present in the
region x=0, -2<y<2 and all z. if ε=ε0, find E at:
a) PA(3,0,0)
b) PB(0,3,0)
For a 3D free electron gas, derive expressions for the Fermi
momentum, Fermi energy, and density of levels. Then plot the
density of levels and contrast its behavior as a function of
energy. Your answers should be expressed in terms of the electron
concentration n = N / V and some combination of fundamental
constants.
1)If, for a given conductor, the local surface charge density is
sigma, what is the direction and magnitude of the electric field in
that region? 2)What’s the value of the electric field inside a
conductor and why? 3)Where is the excess stationary electric charge
located for a conductor and why? 4)What is a Gaussian surface? 5)If
you increase/decrease the area of a Gaussian surface, how does the
net flux through it changes?
A
spherical shell of radius a has a uniform surface charge density σ
and rotates with a constant angular velocity ω in relation to an
axis that passes through its center. In this situation, determine
the magnetic dipole moment μ of the spherical shell.
The ?? plane carries the surface free current density ?⃗⃗⃗
=?0?̂. The free current is centered within an infinite slab of
linear material of permeability ?. The slab has a thickness 2 ? and
is surrounded by free space. Find ?⃗⃗ , ?⃗⃗⃗ , ?⃗⃗⃗ , and the bound
current densities everywhere. [Hint: For planar currents try always
to draw a cross sectional view of the situation such that the
current is out of the page]