Question

A circular ring of charge, with radius R,is placed in the xy-plane and centered on the...

A circular ring of charge, with radius R,is placed in the xy-plane and centered on the origin. The linear charge density of the ring isλ=λ_o*cos^2(φ), where φ is the cylindrical polar coordinate such that any point in space is indicated by (r, φ, z). Find the electric potential anywhere on the z-axis as a function of z . Using this electric potential find the electric field anywhere on the z-axis also as a function of z

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
2. A circular ring with a radius R of 1 cm carries a charge density of...
2. A circular ring with a radius R of 1 cm carries a charge density of ?L = R sin ? (? is an azimuthal angle) µC/cm. The ring is then placed on the xy plane with its axis the same as the z-axis. Find the electric field intensity E and the electric potential V on point A on z-axis 2 cm from the xy plane.
A thin ring of radius R in the x − y plane is centered at the...
A thin ring of radius R in the x − y plane is centered at the coordinate origin, and is charged with linear charge density λ which depends on the polar angle θ as λ(θ) = λ0 sin(θ), where λ0 > 0. (a) Sketch λ(θ) for θ ∈ [0, 2π]. (b) Before doing any calculations, sketch the E~ x and E~ y vector components of the electric field at the coordinate origin, as well as where (roughly) you expect the...
10. A circular cylinder with a radius R of 1 cm and a height H of...
10. A circular cylinder with a radius R of 1 cm and a height H of 2 cm carries a charge density of ρV = H r2 sin φ µC/cm3 (r is a point on the z-axis, φ is an azimuthal angle). The cylinder is then placed on the xy plane with its axis the same as the z-axis. Find the electric field intensity E and the electric potential V on point A on z-axis 2 cm from the top...
A ring of charge with radius R = 1.5 m is centered on the origin in...
A ring of charge with radius R = 1.5 m is centered on the origin in the x-y plane. A positive point charge is located at the following coordinates: x = -10.1 m y = 16.8 m z = 17.1 m The point charge and the total charge on the ring are the same, Q = +22 C. Find the net electric field along the z-axis at z = 1.6 m. Enet x=? Enet y=? Enet z=? Thanks!!
An infinite, non-conducting slab of thickness 2w is centered on the xy-plane and bears a uniform...
An infinite, non-conducting slab of thickness 2w is centered on the xy-plane and bears a uniform volumetric charge density rho. Find the electric potential on the z-axis at 10w with respect to the origin in terms of epsilon.
A circular cylinder with a radius R of 1 cm and a height H of 2...
A circular cylinder with a radius R of 1 cm and a height H of 2 cm carries a charge density of pv = h R^2 uC/cm^3 (h is a point on the z-axis). The cylinder is then placed on the xy plane with its axis the same as the z-axis. Find the electric field intensity E and and the electric potential V on point A on z-axis 2 cm from the top of the cylinder.
3) A thin ring made of uniformly charged insulating material has total charge Q and radius...
3) A thin ring made of uniformly charged insulating material has total charge Q and radius R. The ring is positioned along the x-y plane of a 3d coordinate system such that the center of the ring is at the origin of the coordinate system. (a) Determine an expression for the potential at an arbitrary location along the z-axis in terms of Q, R, and z. (b) Use this expression to determine an expression for the magnitude of the electric...
A thin dielectric ring, radius R has a charge distribution (lambda) = acos^2(theta), where (theta) is...
A thin dielectric ring, radius R has a charge distribution (lambda) = acos^2(theta), where (theta) is the usual polar angle and "a" is a constant with units of charge/length. The ring lies centered in the x-y plane. Find the total charge Q on the ring and the potential at the center of the ring. Now suppose the ring has a uniform charge density such that the total charge is still Q. Find the potential at the center of the ring...
Total charge q2 is uniformly placed on a ring of radius R. The magnitude of the...
Total charge q2 is uniformly placed on a ring of radius R. The magnitude of the electric field at position z on the axis of the ring is given by ((kq2z)/(R^2+z^2)^(3/2)) A uniformly charged rod of total charge q1 and length L is now placed on the z axis. The nearest end of the rod is at distance L from the center of the ring, i.e. the rod extends from z = L to z = 2L (see figure on...
a. Consider two infinite sheets parallel to the xy plane, separated by distance d, carrying charge...
a. Consider two infinite sheets parallel to the xy plane, separated by distance d, carrying charge densities +? and -?. Solve for and sketch the potential as a function of z. b. Consider two disks of radius R parallel to the xy plane, centered on the z axis and separated by distance d, carrying charge densities +? and -?. (In a real capacitor, the charge density will not be strictly uniform, but we will continue to ignore that for the...