Question

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 total E~ to point. [Hint 1: keep in mind the orientation of the electric field – it points away from positive charges.]

(c) Calculate Ex.

(d) Calculate Ey.

Answer #1

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

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!!

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uniform charge density such that the total charge is still Q. Find
the potential at the center of the ring...

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
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terms of Q, R, and z. (b) Use this expression to determine an
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Two charges are located in the x�y plane. If q1 = -2.90 nC and
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m, calculate the x and y components, Ex and Ey, of the electric
field, , in component form at the origin, (0,0). The Coulomb Force
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The electric field of a uniformly charged ring centered at the
origin and laying on the xy plane is given by
E = (Q/4πε0)[ z/(z 2 + a 2)3/2]
ˆk,
where a is the radius of the ring and Q is its total charge.
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undergo simple harmonic motion with an angular frequency
ω = [qQ/4πε0ma3 ]1/2
for |z|<< a.

Two charges are located in the x�y plane. If q1 = -2.30 nC and
is located at x = 0.00 m, y = 1 m and the second charge has
magnitude of q2 = 3.00 nC and is located at x = 1.40 m, y = 0.500
m, calculate the x and y components, Ex and Ey, of the electric
field, , in component form at the origin, (0,0). The Coulomb Force
constant is 1/(4pi E0) = 8.99 � 109...

Physics 207 Quiz 3
A)a ring-shaped thin wire of radius R carries a total charge Q
uniformly distributed around it.find the electric field E at a
point P that lies on the axis of he ring at a distance x from its
center.
B) According to your formula, how much is the field at the
center of the ring
C)How much is the field when x is much larger than R?

Charge q1 = 8.5 nC is located at coordinate system origin, while
charge q2 = -2.5 nC is located at (a, 0), where a = 1.1 m. The
point P has coordinates (a, b), where b = 2.7 m.
a. At the point P, find the x-component of the electric field Ex
in units of N/C.
b. At the point P, find the y-component of the electric field Ey
in units of N/C.

Charge q1 = -6.5 nC is located at the
coordinate system origin, while charge q2 = 3.5
nC is located at (a, 0), where a = 1.2 m. The
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= 3.4 m.
a)At the point P, find the x-component of the electric field
Ex in units of N/C.
b)At the point P, find the y-component of the electric field
Ey in units of N/C.

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