A thin hoop of radius R has a constant (linear) charge density. a.)What is the electric...
A thin hoop of radius R has a constant (linear) charge density.
a.)What is the electric potential along the axis of the hoop at a distance h from the center of the hoop?
b). Using the answer from part (a), find the potential at the center of the hoop (when h=0).
c). Using the answer from part (b), find the potential very far from the hoop (when h>>R).
Homework Answers
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A thin hoop of radius R has a constant (linear) charge
density.
a.)What is the electric...
Show steps! A thin hoop of radius R has a constant (linear) charge density. a. What...
Show steps! A thin hoop of radius R has a constant (linear) charge density. a. What is the electric potential along the axis of the hoop at a distance h from the center of hoop? b. Using answer from part a, find potential at the center of the hoop (when h=0) c. Using answer from part a, find potential very far from the hoop. (when h>>R)
Consider a thin flat insulating disk of radius R with a hole in the center of...
Consider a thin flat insulating
disk of radius R with a hole in the center of radius R/2. If this
thin annular disk has uniform surface charge density σ, what is the
electric potential at a distance x from the center of the hole
along the central axis?
a). Find the electric field along the axis of a thin disk placed in the xy...
a). Find the electric field along the axis of a thin disk placed in the xy plane, at a distance z from the disk center (the field at distance z from center). It has a uniform charge of density σ and an outer radius R. b). Now consider a similar disk with annular shape, it is the disk in part (a) but with a concentric hole of radius R/2. Calculate the electric field along the z axis. c). Find electric...
Consider a charged sphere of radius R. The charge density is not constant. Rather, it blows...
Consider a charged sphere of radius R. The charge density is not constant. Rather, it blows up at the center of the sphere, but falls away exponentially fast away from the center, p(r)=(C/r2)e-kr where C is an unkown constant, and k determines how fast the charge density falls off. The total charge on the sphere is Q. a) Write down the Electric Field outside the sphere, where r ≥ R, in term of the total Q. b) Show that C=...
Consider a charged ring with radius R and uniform line charge density +λ.
Consider a charged ring with radius R and uniform line charge density +λ.(a) Find the electric field at the center O of the ring. (b) What is the electric field at a field point P which is on the central axis with a distance z above the center? (c) Show that in the limit when z » R, the electric field reduces to the form Does this result physically make sense? Explain. (d) Using binomial approximation, , find the electric field at points along the...
4. An infinite cylinder of radius R has a uniform charge density p except for a...
4. An infinite cylinder of radius R has a uniform charge density p except for a cylindrically shaped cutout of radius R/2, as shown. Find the electric field along the axis of the cylinder. Find the electric potential along the axis of the cylinder, assuming a zero point at some arbitrary distance from the axis of the cylinder. a. b.
(a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface.
1) (a) A conducting sphere of radius R has total charge Q, which is distributed uniformly on its surface. Using Gauss's law, find the electric field at a point outside the sphere at a distance r from its center, i.e. with r > R, and also at a point inside the sphere, i.e. with r < R. (b) A charged rod with length L lies along the z-axis from x= 0 to x = L and has linear charge density λ(x)...
possible. 1. A sphere of radius R consists of linear material of dielectric constant x. Embedded...
possible. 1. A sphere of radius R consists of linear material of dielectric constant x. Embedded in the sphere is a free-charge density ρ= k/r, where k is constant and r is the distance from the sphere's center. (a) Show that ker 2REo is the electrie field inside the sphere. (b) The electric field outside the sphere is 26or2 Find the scalar potential at the center of the sphere, taking the zero of potential at infinite radial distance 2. In...
Please answer An insulating disk with radius R has uniform surface charge density ơ. The total...
Please answer
An insulating disk with radius R has uniform surface charge density ơ. The total charge on the disk is Q. Please write all of the final answers to the following questions in terms org, not ơ. a) Through direct integration, find the expression for the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the b) Write the expression for Es, the electric field, at a...
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod.
A charge of uniform linear density 2.00 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius = 4.40 cm, outer radius = 10.2 cm). The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 14.6 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of...
Consider a thin flat insulating
disk of radius R with a hole in the center of radius R/2. If this
thin annular disk has uniform surface charge density σ, what is the
electric potential at a distance x from the center of the hole
along the central axis?
4. An infinite cylinder of radius R has a uniform charge density p except for a cylindrically shaped cutout of radius R/2, as shown. Find the electric field along the axis of the cylinder. Find the electric potential along the axis of the cylinder, assuming a zero point at some arbitrary distance from the axis of the cylinder. a. b.
possible. 1. A sphere of radius R consists of linear material of dielectric constant x. Embedded in the sphere is a free-charge density ρ= k/r, where k is constant and r is the distance from the sphere's center. (a) Show that ker 2REo is the electrie field inside the sphere. (b) The electric field outside the sphere is 26or2 Find the scalar potential at the center of the sphere, taking the zero of potential at infinite radial distance 2. In...
Please answer
An insulating disk with radius R has uniform surface charge density ơ. The total charge on the disk is Q. Please write all of the final answers to the following questions in terms org, not ơ. a) Through direct integration, find the expression for the electric potential V at a point on the disk's axis a distance x from the center of the disk. Assume that the b) Write the expression for Es, the electric field, at a...
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