Question
In: Physics
Given an infinite sheet of charge occupying the x-y plane such that the charge density is...
Given an infinite sheet of charge occupying the x-y plane such that the charge density is constant and uniform, find the electric field at any point on the z-axis by:
A) Using the point charge formula for the electric field directly in cartesian coordinates.
B) Using the point charge formula for the electric field directly in cylindrical coordinates.
C) Using the point charge formula for potential in cylindrical coordinates and taking the gradient.
DO NOT USE GAUSS'S LAW
Solutions
genius_generous answered 6 months agoRelated Solutions
a)An infinite (very large) charged plate with charge density σ is parallel to the xz plane...
a)An infinite (very large) charged plate with charge density σ
is parallel to the xz plane and passes through the point (0, 5, 0).
Calculate the electric field of the plate.
For points and> 5, where is the electric field directed? How
much is E⃗
for points and <5 where is the electric field directed? how much
is E⃗
b) Thinking about the previous example, now in addition to the
loaded plate from the previous exercise, think that there is...
A proton is launched from an infinite plane of charge with surface charge density -1.90×10-6 C/m2....
A proton is launched from an infinite plane of charge with
surface charge density -1.90×10-6 C/m2. If
the proton has an initial speed of 3.70×107 m/s, how far
does it travel before reaching its turning point?
1.20×10-6 m
1.80×10-6 m
66.6 m
133 m
An infinite plane slab of thickness 2H has a uniform charge density p , where z...
An infinite plane slab of thickness 2H has a uniform charge
density p , where z is defined to be at the center of the slab. In
the z direction, the slab extends from z = -H to z = +H. Find the
electric field both inside and outside the slab. (Hint: Outside the
slab, Qenc does not depend on z anymore.)
An infinite nonconducting sheet has a surface charge density σ = 8.00 pC/m2. (a) How much...
An infinite nonconducting sheet has a surface charge density
σ = 8.00 pC/m2.
(a) How much work is done by the electric field due to the sheet
if a particle of charge q = +1.60 ✕ 10−19 C is
moved from the sheet to a point P at distance d =
3.52 cm from the sheet?
(b) If the electric potential V is defined to be zero
on the sheet, what is V at P?
A sheet of charge with ρS = 8 nC/m2 is in the plane x = 5...
A sheet of charge with ρS = 8 nC/m2
is in the plane x = 5 in free space and a line
charge ρL = 15 nC/m is located at x = 2, z = 5.
a. Find E at P(0, 0, 0)
b. E at (4, 5, 6)
c. What is the force per unit length on the line charge?
1.16 [1pt] Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric...
1.16 [1pt] Consider an infinite non-conducting plane having a
charge density of 1 C/m^2. Sketch electric field lines and indicate
the value of electric field 1 m away from the plane
1.16 ANSWER
1.17 [1pt] Let’s add a point charge of-1C, at a distance 1 m
from the plane in problem 1.18. What would be the force onto the
charge?
1.17 ANSWER
1.18 [2pt] How much work will it take to remove the point charge
in 1.17 from where it...
1.16 [1pt] Consider an infinite non-conducting plane having a charge density of 1 C/m^2. Sketch electric...
1.16 [1pt] Consider an infinite non-conducting plane having a
charge density of 1 C/m^2. Sketch electric field lines and indicate
the value of electric field 1 m away from the plane
1.16 ANSWER
1.17 [1pt] Let’s add a point charge of-1C, at a distance 1 m
from the plane in problem 1.18. What would be the force onto the
charge?
1.17 ANSWER
1.18 [2pt] How much work will it take to remove the point charge
in 1.17 from where it...
. The joint probability density function of X and Y is given by ?(?, ?) =...
. The joint probability density function of X and Y is given
by
?(?, ?) = { ??^2? ?? 0 ≤ ? ≤ 2, 0 ≤ ?, ??? ? + ? ≤ 1
0 ??ℎ??????
(a) Determine the value of c.
(b) Find the marginal probability density function of X and
Y.
(c) Compute ???(?, ?).
(d) Compute ???(?^2 + ?).
(e) Determine if X and Y are independent
Suppose that the joint probability density function of ˜ (X, Y) is given by:´ f X,Y...
Suppose that the joint probability density function of ˜ (X, Y) is given by:´
f X,Y (x,y) = 4x/y3 I(0.1)(x), I (1, ∞)(y).
Calculate
a) P(1/2 < X < 3/4, 0 < Y ≤ 1/3).
b) P(Y > 5).
c) P(Y > X).
Three point charges are placed on the x-y plane: a +40.0nC charge at the origin, a...
Three point charges are placed on the x-y plane: a +40.0nC
charge at the origin, a -40.0nC charge on the x axis at 10.0cm, and
a +100.0nC charge at the point (10.0cm, 9.00cm).
(A) Find the total electric force on the +100.0nC charge due to
the other two.
Please answer in this format: ( ? N)x + ( ? N)y
(B) What is the electric field at the location of the +100.0nC
charge due to the presence of the other...
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