Using the electrostatic approximation, derive the expression for
field enhancement for a spherical particle composed of...
Using the electrostatic approximation, derive the expression for
field enhancement for a spherical particle composed of a material
with dielectric function and radius a
The question is: How to calculate
the energy of electrostatic field of a newly created
particle.
The usual formula involves integration 'all over space'.
According to GR I believe that 'all over space' means the interior
volume with radius c*t_now, where t_now is the lifetime of the
particle at the time of calculation and c is the light speed.
Thus the energy stored in the field is a quantity dependent on
time evolution.
this is a clarification of the question...
B. Derive an expression for the mass of a particle that makes it
through the mass spectrometer as a function of: charge, q, the path
radius in the mass separator, Rpath, the magnetic field in the
velocity selector, B1, the electric field in the velocity selector,
E, and the magnetic field in the mass separator, B2.
1.Derive the Klein-Gordan equation and apply it to a particle in
the coulombian field. Show that the Klein-Gordan equation will be
valid only for the spinless particles.
2. Obtain Klein-Gordan equation for a charged particle moving in
an electromagnetic field. Show that this equation reduces to the
Schroedinger equation of motion for
the particle in an electromagnetic field in the non-relativistic
limit.
a. Derive the expression for the capacitance of a
parallel plate having two dielectric
field.
b. Write a short note on the magnetization of the
following magnetic material?
i. Diamagnetic
ii. Paramagnetic
iii. Ferromagnetic
c. Derive the
expression for torque developed in a rectangular closed circuit
current (I) in a
uniform field?
Using the Born approximation, obtain an integral expression for
the total cross section for scattering of particles of mass m from
the attractive Yukawa potential V(r) = - V0 exp [ -(r/a)²]
Using the
Michaelis-Menten equation, derive an expression that will
determine Km
as a function or in
terms of Vmax,
V0
and [S]. With this
derived equation then calculate:
a)
Km
B) Indicate at
each substrate concnetration whether this Km changes with the
changing S
C)
Using the double
reciprocal plot, determine Km.
Using Antoine’s equation, derive an expression to calculate
heats of vaporization as a function of the A, B and C constants in
Antoine’s equation and temperature. Use the derived expression to
calculate heats of vaporization of water and benzene at their
boiling points and 1 atm pressure. Compare the results with
tabulated values of water and benzene.