potential inside a hollow cylinder
What is the electric potential V at the any point inside the cylinder?
Homework Answers
potential will be uniform inside the cylinder.
actually the elctric field inside the hollow cylinder
=0
now ,as E=-dV/dr
dV=-∫Edr +c
V=c(a constant)
A hollow cylinder of radius R and length l has a total charge Q uniformly distributed...
A hollow cylinder of radius R and length l has a total charge Q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin. Obtain an expression for the electric potential as a function of z. Sketch a graph of the electric potential as a function of distance z, for -2l < z < 2l.
Potential of a Charged Cylinder
A hollow cylinder of radius and height has a total charge uniformly distributed over its surface. The axis of the cylindercoincides with the z axis, and the cylinder is centered atthe origin.What is the potential in the limit as goes to zero?Express your answer in terms of,,and .
Need help in PART B. kindly write the solution as well. Thanks Potential of a Charged...
Need help in PART B. kindly write the solution as well. Thanks
Potential of a Charged Cylinder Part A A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure. (Figure 1) What is the electric potential V at the origin? View Available Hint(s) Figure 1 of 1 >...
ery long dielectric cylinder of radius a and dielectric constant er is placed in a field Eo perpendicular to its A v axis. The electric potential inside the cylinder is r in and the electric potentia...
ery long dielectric cylinder of radius a and dielectric constant er is placed in a field Eo perpendicular to its A v axis. The electric potential inside the cylinder is r in and the electric potential outside the cylinder is The electric field inside of the cylinder is and the electric field outside the cylinder is n11 out-_E Find the surface charge density and take the cylinder axis to be the z-axis and take Eo - Eo
ery long dielectric...
Question from Mastering Physics
A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z-axis, and the cylinder is centered at the origin, as shown in the figure.What is the electric potential V at the origin?$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{2 r}{h}-\sqrt{1+\frac{4 r^{2}}{h^{2}}}\right) $$$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{h}{2 r}-\sqrt{1+\frac{h^{2}}{4 r^{2}}}\right) $$$$ V=\frac{q}{2 \pi \epsilon_{0} h} \ln \left(\frac{2 r}{h}+\sqrt{1+\frac{4 r^{2}}{h^{2}}}\right) $$$$ V=\frac{q}{2 \pi \epsilon_{0} h}...
2) Consider a long, hollow cylinder with a potential V-0 cosø around its surface. (Use cylindrical...
2) Consider a long, hollow cylinder with a potential V-0 cosø around its surface. (Use cylindrical coordinates where z is along the axis of the cylinder,) a) Determine the potential inside and outside the cylinder b) Determine the electric field everywhere.
An infinite insulating hollow cylinder of radius ri and uniform charge per unit length, λ is...
An infinite insulating hollow cylinder of radius ri and uniform charge per unit length, λ is oriented so that its long central axis is along the z-axis. A fixed point charge,-Q, is located at the position (x, y, z) = (2n, 0,0). Answer the following in terms of the constants given: (a) what is the magnitude of the total electric field at the location (x, y, z) = (3r1, 0,0)? (b) Assuming that the reference potential is set to be...
Using the method of images, discuss the problem of a point charge q inside a hollow,...
Using the method of images, discuss the problem of a point
charge q inside a hollow, grounded, conducting sphere of inner
radius a. Find,
a) the potential inside the sphere;
b) the induced surface-charge density;
c) the magnitude and direction of the force acting on q.
d) Is there any change in the solution if the sphere is kept at
a fixed potential V? If the sphere has a total charge Q on its
inner and outer surfaces?
Using the...
Given: Charge is uniformly distributed with charge density ρ inside a very long cylinder of radius...
Given: Charge is uniformly distributed with charge density ρ inside a very long cylinder of radius R. Part A: Find the potential difference between the surface and the axis of the cylinder. V(surface)-V(axis)= ???
Find the electric potential due to a finite (hollow) cylinder of charge with uni- form (surface)...
Find the electric potential due to a finite (hollow) cylinder of charge with uni- form (surface) charge density , everywhere along the axis of symmetry.
Need help in PART B. kindly write the solution as well. Thanks
Potential of a Charged Cylinder Part A A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure. (Figure 1) What is the electric potential V at the origin? View Available Hint(s) Figure 1 of 1 >...
ery long dielectric cylinder of radius a and dielectric constant er is placed in a field Eo perpendicular to its A v axis. The electric potential inside the cylinder is r in and the electric potential outside the cylinder is The electric field inside of the cylinder is and the electric field outside the cylinder is n11 out-_E Find the surface charge density and take the cylinder axis to be the z-axis and take Eo - Eo
ery long dielectric...
2) Consider a long, hollow cylinder with a potential V-0 cosø around its surface. (Use cylindrical coordinates where z is along the axis of the cylinder,) a) Determine the potential inside and outside the cylinder b) Determine the electric field everywhere.
An infinite insulating hollow cylinder of radius ri and uniform charge per unit length, λ is oriented so that its long central axis is along the z-axis. A fixed point charge,-Q, is located at the position (x, y, z) = (2n, 0,0). Answer the following in terms of the constants given: (a) what is the magnitude of the total electric field at the location (x, y, z) = (3r1, 0,0)? (b) Assuming that the reference potential is set to be...
Using the method of images, discuss the problem of a point
charge q inside a hollow, grounded, conducting sphere of inner
radius a. Find,
a) the potential inside the sphere;
b) the induced surface-charge density;
c) the magnitude and direction of the force acting on q.
d) Is there any change in the solution if the sphere is kept at
a fixed potential V? If the sphere has a total charge Q on its
inner and outer surfaces?
Using the...
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