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NNSE 508
EM
Home assignment # 1
Due:
January 27, 2011
1. Electric field is 2 V/cm everywhere on surface of a 10 cm diameter sphere and is
centered on origin of the sphere. What is the net charge (sign and value) inside the
sphere?
2. Calculate electric field in dielectric with
= 3.9 over a charged surface with surface
electron density 10
12
cm
2
. [Typical MOSFET]
3. (RF plasma generator) Consider a single electron in an electric field between two
parallel plates located 10 cm apart. The whole system is in vacuum. Assume the potential
varies sinusoidally between 100 V and –100 V at a frequency of 13.5 MHz. The electron
oscillates between these two plates without collision with the plates.
(a) Calculate the maximum kinetic energy of the electron.
(b) What is the minimum distance between the plates ?
4. Consider the electric field is measured much further that the distance between the
charges in the dipole. Find the field (as a function of
and
pr
) of dipole:
a) in the plane normal to the dipole's axis as shown in the figure. Indicate the direction of
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This note was uploaded on 11/08/2011 for the course NNSE 508 taught by Professor Sergeoktyabrsky during the Spring '11 term at SUNY Albany.
 Spring '11
 SergeOktyabrsky

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