Question
In: Physics
A long, solid, insulating cylinder of radius R = 6 cm has a uniform charge density...
A long, solid, insulating cylinder of radius R = 6 cm has a uniform charge density of λ = −3 C/m. Find the electric field magnitude everywhere.
Solutions
genius_generous answered 2 years agoRelated Solutions
An infinitely long solid insulating cylinder of radius a = 2.2 cm
An infinitely long solid insulating cylinder of radius a = 2.2 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 48 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 18.3 cm, and outer radius C =20.3 cm. The conducting shell has a linear charge density λ = 0.56 μC/m3.
An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 5.6
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density ρ = 25
μC/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 14.5 cm, and outer radius c =
17.5 cm. The conducting shell has a linear charge density λ =
-0.41μC/m.
1. What is V(P) – V(R), the potential difference between...
An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 4.4
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density p = 29
uC/m^3. Concentric with the cylinder is cylindrical conduction
shell of inner radius b = 10.2cm and outer radius c= 12.2 cm. The
conducting shell has a linear charge density = -0.33 uC/m.
1. What is Ey (R), the y-component of the electric field at
point...
An infinitely long solid insulating cylinder of radius a = 5.6 cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 5.6
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density ρ = 45
μC/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 17.9 cm, and outer radius c =
19.9 cm. The conducting shell has a linear charge density λ =
-0.31μC/m.
1)
What is Ey(R), the y-component of the electric field...
An infinitely long hollow cylinder of radius R is carrying a uniform surface charge density σ...
An infinitely long hollow cylinder of radius R is carrying a
uniform surface charge density σ (φ).
(a) Determine the general form of the solution of Laplace’s
equation for this geometry.
(b) Use the boundary condition σ(φ) = σ0cos(φ) to determine
the potential inside and outside of the cylinder.
(c) Using your answer to part (b), determine the electric
field inside and outside of the cylinder.
1) An insulating sphere with radius R has a uniform positive volume charge density of ρ....
1) An insulating sphere with radius R has a uniform positive
volume charge density of ρ. A solid metallic shell with inner
radius R and outer radius 2R has zero total charge. [Express your
answers for parts (a-d) using ρ, R, and constants]
(a) What is the magnitude of the electric field at a distance ?
= 3? away from the center?
(b) Assuming the potential at infinity is 0. What is the
potential at the outer surface (? =...
An infinitely long solid cylindrical insulator of radius 13.0 cm has a non-uniform volume charge density...
An infinitely long solid cylindrical insulator of radius 13.0 cm
has a non-uniform volume charge density of =4r3 where is in Cm3
when r is in meters. Calculate the magnitude of the electric field
at a distance of 17.00 cm from the axis of the cylinder.
A solid dielectric cylinder of length L and radius R has a uniform charge per unit...
A solid dielectric cylinder of length L and radius R has a
uniform charge per unit volume ρ. Derive a mathematical expression
for the electric field E ! at a point on the axis of the cylinder,
a distance z above the center of the cylinder, and outside the
cylinder, i.e., for z > L/2. {Simplify and express your answer
in terms of the given parameters and fundamental constants.
A solid cylinder of radius 1.5 m has a uniform volume charge density of 15 C/m3....
A solid cylinder of radius 1.5 m has a uniform volume charge
density of 15 C/m3. Find the magnitude of the electric
field at 1.25 m from the axis of the cylinder.
a) what will your gaussian surface be? Make a sketch of the
solid cylinder and the gaussian surface with their radii
b) Write an expression for the total electric flux through the
gaussian surface, that is the LHS (Left hand side) of the Gauss'
law (this expression may...
An infinitely long, uniformly charged, insulating, solid cylinder, with radius R has spher- ical holes cut...
An infinitely long, uniformly charged, insulating, solid
cylinder, with radius R has spher-
ical holes cut into it of radius a < R along its axis. The
cylinder is placed with its axis along
the z − axis. These holes have centers at z = 0, ±d, ±2d, . .
. ± nd with d > 2a and n run-
ning to ∞. Calculate the electric field from the cylinder at a
distance r > R on the x, y...
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