Given a circular disk of charge with surface charge density ρsand radius a in the...
Given a circular disk of charge with surface charge density ρs and radius a in the xy plane with the center located at the origin, see figure. Find the vector electric field at a point P (0,0,h) induced by the circular disk. Evaluate the vector electric field at P when a→∞
Homework Answers
small area of small ring of radius "r" and width "dr" is given as
dA = 2
r dr
small charge on the ring is given as
dq = 
dA
dq =
(2r dr )
small electric field by the ring is given as
dE = k h dq/(r2 + h2)2
dE = k h (
(2r dr
))/(r2 + h2)2
total electric field is given as
E = 
k
h (
(2r dr
))/(r2 + h2)3/2
E = (2kh)
r
dr/(r2 + h2)3/2
E = (2k) [1 -
(h/(h2 + a2)1/2)]
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Given a circular disk of charge with surface charge density ρsand radius a in the...
A circular disk of radius R=1m has a uniform surface charge density ρS=0.08 μC/m2. The disk...
A circular disk of radius R=1m has a uniform surface charge
density ρS=0.08 μC/m2. The disk lies on the x=0 plane and is
centered at point O(0,0,0).
(2 points) The electric field at the point (2, 6,4) is, in SI units of N/C 10-9 4πε0 E= Introducing a point charge of -100 nC at some point P will make E 0 at the point (2,6,4). Find P. ANSWER: P-(
A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4
1. A total charge of Q is uniformly distributed around the perimeter of a circle with radius a in the x-y plane centered at origin as shown in Figure P4. (a) Find the electric field at all points on the z axis, i.e., (0,0,z). (b) Use the result you obtain in (a) to find the electric field of an infinite plane of charge with surface charge density ps located at the x-y plane. 2. Find the electric field due to a...
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge den...
A disk of radius R = 7.52 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 3.11 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.55 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge den...
A disk of radius R = 9.54 cm, is centered at the origin and lies along the y–z plane. The disk has a surface charge density σ = 4.07 × 10-6 C/m2. Evaluate the electric field produced by this disk along the x axis at point P = (1.01 m, 0.00 m). The Coulomb force constant k = 1/(4π ε0) = 8.99 × 109 N·m2/C2.
2.25 A disk of radius a in the xy plane carries surface charge of density where f,0 s a constant....
solve the problem.. plz.. so difficult .. easily show me
2.25 A disk of radius a in the xy plane carries surface charge of density where f,0 s a constant. (a) Find the electric field intensity E everywhere on the z axis. (b) Specialize your part a result for distances z>> a.
2.25 A disk of radius a in the xy plane carries surface charge of density where f,0 s a constant. (a) Find the electric field intensity E everywhere...
A thin disk with a circular hole at its center, called an annulus, has inner radius...
A thin disk with a circular hole at its center, called an
annulus, has inner radius R1 and outer radius R2. The disk has a
uniform positive surface charge density σ on its surface. (Figure
1)
A)The annulus lies in the yz-plane, with its center at
the origin. For an arbitrary point on the x-axis (the axis
of the annulus), find the magnitude of the electric field E⃗ .
Consider points above the annulus in the figure.
Express your answer...
#1 and #3 I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer...
#1 and #3
I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
Problem 3 (25 points): Magnetic Field from Superposition. A circular disk of radius ro is uniformly...
Problem 3 (25 points): Magnetic Field from Superposition. A circular disk of radius ro is uniformly coated with charge with a surface charge density of ps the disk lies in the x-y plane and the disk axis is the z-axis. This disk is spinning about the z-axis at a rate of one revolution every T seconds. The resulting surface current density on the disk is given by 2Tps a) What is the magnetic field intensity on the z-axis at a...
In the figure a small circular hole of radius R = 2.23 cm has been cut...
In the figure a small circular hole of radius R = 2.23
cm has been cut in the middle of an infinite, flat, nonconducting
surface that has a uniform charge density σ = 4.23 pC/m2. A zaxis,
with its origin at the hole's center, is perpendicular to the
surface. What is the magnitude of the electric field at point P at
z = 2.79 cm?
MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT In the figure a small circular...
In the figure below, a small circular hole of radius R = 1.80 cm has been...
In the figure below, a small circular hole of radius R = 1.80 cm
has been cut in the middle of an infinite, flat, nonconducting
surface that has uniform charge density σ = 6.70 pC/m2.
A z-axis, with its origin at the hole's center, is perpendicular to
the surface. In unit-vector notation, what is the
electric field at point P at z = 2.68 cm? (Hint: See Eq. 22-26 and
use superposition.)
_________N/C
A circular disk of radius R=1m has a uniform surface charge
density ρS=0.08 μC/m2. The disk lies on the x=0 plane and is
centered at point O(0,0,0).
(2 points) The electric field at the point (2, 6,4) is, in SI units of N/C 10-9 4πε0 E= Introducing a point charge of -100 nC at some point P will make E 0 at the point (2,6,4). Find P. ANSWER: P-(
solve the problem.. plz.. so difficult .. easily show me
2.25 A disk of radius a in the xy plane carries surface charge of density where f,0 s a constant. (a) Find the electric field intensity E everywhere on the z axis. (b) Specialize your part a result for distances z>> a.
2.25 A disk of radius a in the xy plane carries surface charge of density where f,0 s a constant. (a) Find the electric field intensity E everywhere...
A thin disk with a circular hole at its center, called an
annulus, has inner radius R1 and outer radius R2. The disk has a
uniform positive surface charge density σ on its surface. (Figure
1)
A)The annulus lies in the yz-plane, with its center at
the origin. For an arbitrary point on the x-axis (the axis
of the annulus), find the magnitude of the electric field E⃗ .
Consider points above the annulus in the figure.
Express your answer...
#1 and #3
I) )A solid insulating sphere of radius a carries a net positive charge density 3p uniformly distributed throughout its volume. A conducting spherical shell of inner radius 2a and outer radius 3a is concentric with the solid sphere and carries a net charge density-22 Using Gauss's law, find the electric field everywhere. Sketch the electric field 2) "A) The current density in a cylindrical wire of radius R meters is uniform across a cross section of the...
Problem 3 (25 points): Magnetic Field from Superposition. A circular disk of radius ro is uniformly coated with charge with a surface charge density of ps the disk lies in the x-y plane and the disk axis is the z-axis. This disk is spinning about the z-axis at a rate of one revolution every T seconds. The resulting surface current density on the disk is given by 2Tps a) What is the magnetic field intensity on the z-axis at a...
In the figure a small circular hole of radius R = 2.23
cm has been cut in the middle of an infinite, flat, nonconducting
surface that has a uniform charge density σ = 4.23 pC/m2. A zaxis,
with its origin at the hole's center, is perpendicular to the
surface. What is the magnitude of the electric field at point P at
z = 2.79 cm?
MESSAGE MY INSTRUCTOR FULL SCREEN PRINTER VERSION BACK NEXT In the figure a small circular...
In the figure below, a small circular hole of radius R = 1.80 cm
has been cut in the middle of an infinite, flat, nonconducting
surface that has uniform charge density σ = 6.70 pC/m2.
A z-axis, with its origin at the hole's center, is perpendicular to
the surface. In unit-vector notation, what is the
electric field at point P at z = 2.68 cm? (Hint: See Eq. 22-26 and
use superposition.)
_________N/C
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