Homework Answers
dle Cring) da rdrde Electric field at dlistance z due to aina is given by 91D 2 2)12
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Problem 3: Consider a disk of radius R in the xy-plane with a...
there was another answer, but i did not quite get it. it seemed to use polar...
there was another answer, but i did not quite get
it. it seemed to use polar coordinates or something, but i don't
really understand how it set up the integral.
Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density ơ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry
The correct answer is already given. What you have to do is how to get this...
The correct answer is already given. What you have to do is how
to get this answer.
Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
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...
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...
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area...
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area σ1 sitting at the origin. There is also an infinie plane parallel to the x- y plane sitting at z-zo with charge per unit area Oz. We will take Zo > R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo,0,0) with xo> R 2.3 15 POINTS The point (X1, 0,21) with 0 <...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not uniform across the disk, but has a surface charge density ơ-q2-R). (a) Show that Og 3rK (b) Find the electric field at a point along the axis of the disk. 20
For the next six problems, consider a uniformly charged disk of radius R. The total charge...
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
A circular disk of radius 'a' is uniformly charged with ps C/m2. If the disk lies on the = 0 plane with its axis along the z-axis. Determine:
A circular disk of radius 'a' is uniformly charged with ps C/m2. If the disk lies on the = 0 plane with its axis along the z-axis. Determine: (a) The electric field at (0, 0, -h) (b) From this, derive the electric field due to an infinite şheet of charge on the z = 0 plane at (0, 0, -h) (c) What will be the electric field at(0,0,-h) if a → 0
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)),...
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)), where tER, for some constants Row >0. (i) (_marks:) Determine the distance the particle travels for t € [T, 47]. (ii) marks) Suppose the plane has a voltage given by V(x, y) = xy +3. Determine the rate of change in voltage the particle experiences at time t.
2.1 2.2 2.3 2 BALL AND PLANE Consider a spherical shell of radius R and charge...
2.1 2.2 2.3
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area ơi sitting at the origin. There is also an infinite plane parallel to the x - y plane sitting at zzo with charge per unit area σ2. We will take z02R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo.0,0) with xo>R 2.3 15 POINTS The point (x1,0, z) with 0...
there was another answer, but i did not quite get
it. it seemed to use polar coordinates or something, but i don't
really understand how it set up the integral.
Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density ơ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry
The correct answer is already given. What you have to do is how
to get this answer.
Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
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...
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area σ1 sitting at the origin. There is also an infinie plane parallel to the x- y plane sitting at z-zo with charge per unit area Oz. We will take Zo > R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo,0,0) with xo> R 2.3 15 POINTS The point (X1, 0,21) with 0 <...
P8. Suppose a disk of radius R has a total charge Q. Its charge is not uniform across the disk, but has a surface charge density ơ-q2-R). (a) Show that Og 3rK (b) Find the electric field at a point along the axis of the disk. 20
For the next six problems, consider a uniformly charged disk of radius R. The total charge on the disk is Q. To find the electric potential and field at a point P (x>0) on the x-axis which is perpendicular to the disk with the origin at the center of the disk, it is necessary to consider the contribution from an infinitesimally thin ring of radius a and width da on the disk, as shown. What is the surface charge density...
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)), where tER, for some constants Row >0. (i) (_marks:) Determine the distance the particle travels for t € [T, 47]. (ii) marks) Suppose the plane has a voltage given by V(x, y) = xy +3. Determine the rate of change in voltage the particle experiences at time t.
2.1 2.2 2.3
2 BALL AND PLANE Consider a spherical shell of radius R and charge per unit area ơi sitting at the origin. There is also an infinite plane parallel to the x - y plane sitting at zzo with charge per unit area σ2. We will take z02R. Compute the electric field at the following locations: 2.1 10 POINTS The origin. 2.2 15 POINTS The point (xo.0,0) with xo>R 2.3 15 POINTS The point (x1,0, z) with 0...
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