Question

The Van de Graaff generator has a spherical thin conducting shell with a radius of 15. cm and a surface charge density 2.1 x 10-3 μC/cm2 . a. Determine the total charge on the surface of the Van de Graaff [6.02 μC] b. Use Gauss's Law to determine the magnitude and direction of the electric field inside the dome at a distance 6. cm from the center. Sketch and label the electric field, Gaussian surface, etc. You must use Gauss's Law for full credit. [E = 0 for all points inside] c. Use Gauss's Law to determine the magnitude and direction of the electric field outside the dome at a distance 35. cm from the surface. Sketch and label the electric field, Gaussian surface, etc. You must use Gauss's Law for full credit. [2.17 x 105 N/C]

Answer #1

The dome of a Van de Graaff generator re- ceives a charge of 1.9
× 10−4 C. The radius of the dome is 5.0 m. Find the magnitude of
the elec- tric field strength inside the dome. The value of the
Coulomb constant is 8.98755×10 N·m /C . Answer in units of N/C.
Find the magnitude of the electric field strength at the surface of
the dome. Answer in units of N/C. Find the magnitude of the
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The dome of a Van de Graaff generator receives a charge of 9.2 ✕
10−4 C. Find the strength of the electric field in the
following situations. (Hint: Review properties of
conductors in electrostatic equilibrium. Also, use the points on
the surface are outside a spherically symmetric charge
distribution; the total charge may be considered to be located at
the center of the sphere.)
(a) inside the dome
N/C
(b) at the surface of the dome, assuming it has a...

Today Van de Graaff accelerators sometimes serve as “injectors”
for other types of accelerators that then further increase the
energy of the particles. Consider a Van de Graaff accelerator that
is being used to accelerate protons. The high voltage terminal
(metal sphere) of the Van de Graff is charged using a rubberized
belt that is 30 cm wide and travels at a velocity of 20 m/s. Charge
is sprayed onto the belt near the roller at the low voltage end...

A research-level Van de Graaff generator has a 1.9 m diameter
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a. What is the potential near its surface in MV? (Assume the
potential is equal to zero far away from the surface.
b. At what distance in meters from its center is the potential
1.00 MV?
c. An oxygen atom with two missing electrons is released from
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A research Van de Graaff generator has a 1.00-m-diameter metal
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center is the potential dropped to 1V? (c) What is the energy of
the electron in eV at this distance?

A research-level Van de Graaff generator has a 1.85 m diameter
metal sphere with a charge of 5.2 mC on it. (part c) An oxygen atom
with 2 missing electrons is released from rest near the van de
graff generator. what is the kinetic energy in MeV at the distance
from part b? K= ___
([part a] the potential is 50.5 V near its surface in MV)
([part b] at 46.8 meters from its center the potential is 1
MV)

A physics student is doing experiments with a Van de Graff
generator that has a positively charged dome. A small balloon is
held near the generator and it is deflected toward the generator
and reaches equilibrium at a point 40° from the vertical when the
separation is 15 cm. The mass of the balloon is 50 grams.
a) Is the balloon positively or negatively charged? Justify your
answer.
b) Draw a free-body force diagram of the forces acting on the...

A thin, uniformly charged spherical shell has a potential of 727
V on its surface. Outside the sphere, at a radial distance of 20.0
cm from this surface, the potential is 403 V.
(1) Calculate the radius of the sphere.
(2) Determine the total charge on the sphere
(3) What is the electric potential inside the sphere at a radius
of 3.0 cm
(4) Calculate the magnitude of the electric field at the surface
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(5) If an...

A cylindrical charge that is infinitely long has a charge
distribution of radius R = 12.0cm and has a uniform volume charge
density of p = 325 uC/m3.
A) Use Gauss's Law to determine the expression for the electric
field for 0 ≤ r ≤ R. INCLUDE A SKETCH
B) Using the expression from part A, calculate the magnitude of
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C) Use Gauss's Law to determine the expression for the electric
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An amount of charge Q is distributed uniformly inside a
spherical shell of inner radius a and outer radius b. Use Gauss's
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