Question
In: Physics
An infinitely long solid insulating cylinder of radius a = 2.1cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 27μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density λ = -0.36μC/m.
1 What is Ey(R), the y-component of the electric field at point R, located a distance d = 46 cm from the origin along the y-axis as shown?
2 What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (46 cm, 46 cm).
3 What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?
4 Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator?
5 The charge density of the insulating cylinder is now changed to a new value,ρ’ and it is found that the electric field at point P is now zero. What is the value of ρ’?
Solutions
genius_generous answered 2 years agoRelated Solutions
An infinitely long solid insulating cylinder of radius a = 2.1cm is positioned with its...
An infinitely long solid insulating cylinder of radius a = 2.1
cm is positioned with its symmetry axis along the z-axis as shown.
The cylinder is uniformly charged with a charge density ρ = 27μC/m3. Concentric with the cylinder is a cylindrical
conducting shell of inner radius b = 14.9 cm, and outer radius c =
17.9 cm. The conducting shell has a linear charge density λ =
-0.36μC/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 = 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 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, 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...
An infinitely long, solid non-conducting rod (cylinder) with circular cross section of radius a has its...
An infinitely long, solid non-conducting rod (cylinder) with
circular cross section of radius a has its axis along the z-axis.
It has a non-uniform volume charge density given in cylindrical
coordinates by ρ(s) = C (s/a)^2 ,where C is a positive constant. In
addition, there is a uniform volume charge density −σ on the outer
cylindrical shell of radius b, where σ is a positive constant.
Region 2 is a vacuum.
For parts (a) through (c), use Gauss’ Law and...
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
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A solid sphere of radius R, a solid cylinder of radius R, and a hollow cylinder...
A solid sphere of radius R, a solid cylinder of radius R, and a
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around its symmetry axis. Which one has the greatest rotational
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both cylinders have the same rotational kinetic energy
the solid cylinder
the solid sphere
they all have the same...
An infinitely long right circular cylinder has radius ?. There is a non-constant cylindrically symmetric volume...
An infinitely long right circular cylinder has radius ?. There
is a non-constant cylindrically symmetric volume charge density
?(?), where ? is the (radial) distance from the axis of the
cylinder, given by ?(?) = ((?0*?)/?)sin((2??)/?), where ?0 is a
constant.
1. Consider a concentric cylinder with radius ? and length ?.
Compute the total charge ?(?) inside the cylinder for 0 < ? <
? and for ? > ?.
2. Go back to the infinite cylinder setup and...
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