Question
In: Physics
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 points P and R? Point P is located at (x,y) = (42 cm, 42 cm).
2. What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?
3. 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? V(a) < 0 V(a) = 0 V(a) > 0
4. 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’?
(0,d) Pod,d)
Solutions
genius_generous answered 2 years agoRelated Solutions
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 = 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 = 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 = 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 = 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
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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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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 4.00-m-long cylinder of solid aluminum has a radius of 2.00 cm. 1) If the cylinder...
A 4.00-m-long cylinder of solid aluminum has a radius of 2.00
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1)
If the cylinder is initially at a temperature of 4.00∘∘C, how
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2)Due to the temperature increase, by how much (in %) would the
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3)By what percentage does the volume of the cylinder
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An infiinitely long solid conducting cylindrical shell of radius a 4.6 cm and negligible thickness is positioned with...
An infiinitely long solid conducting cylindrical shell of radius a = \(4.6 \mathrm{~cm}\) and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density \(\lambda_{\text {inner }}=-0.37 \mu \mathrm{C} / \mathrm{m}\). Concentric with the shell is another cylindrical conducting shell of inner radius \(\mathrm{b}=\) \(12.6 \mathrm{~cm}\), and outer radius \(\mathrm{c}=14.6 \mathrm{~cm}\). This conducting shell has a linear charge density \(\lambda_{\text {outer }}=0.37 \mu \mathrm{C} / \mathrm{m}\).
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