hello i would like to understand to something.
here is the drew
now for my question:
i was able to find Ey and here is my correct answer:
when i try to find Ex i didnt understand something, i found the correct answer but i need to put minus before and i want to know why?
here is my solution...
I know that if we bring a positively charged rod closer to the electroscope, charges of electroscope are separated and the leaves of the electroscope get away from each other. but what happens if we touch the positively charged rod with our hands and then move the hand and rod away?
(A) incorrect, because opposite signs attract, and the sphere would've been drawn to the charged rod.
(B) correct, according to the answer key, but if the charge of the sphere and the charge of the rod are the same, then wouldn't they repel each other? I'm confused as to why this is the correct...
Homework Statement
A charged rod of charge 'q' is at a distance 'd' from a perfect conductor as shown below.
What's the total surface charge on the conductor?
2. Homework Equations
I tried to solve this without equations.
The Attempt at a Solution
[/B]
Basically, as long as there is E field...
Homework Statement
The figure below shows a thin, vertical rod of length L with total charge Q. The indicated point P is a horizontal distance x from the one end of the rod. What is the electric field at point P. Express your answer in component notation in the two blanks below.
L = 5.0 cm, Q...
Homework Statement
Calculate the electric field at point ##P## if the distance from the center of an infinitely long, charged rod to point ##P## is ##a = 0.6m##; the charge density equals ##\lambda = -CX^2##, ##C=10^{-3}C/m^3##. Show all steps in finding the equation of the field, then find the...
Homework Statement
A charged, straight line/rod of infinite length has a Discrete uniform distribution of charge, has a linear density of λ and is at a distance d from a sphere with a radius of R.
Find the entirety of the Electrical Flux that is caused by this charged rod, which passes...
Homework Statement
A line of charge with a uniform density of 34.2 nC/m lies along the line y = -14.9 cm, between the points with coordinates x = 0 and x = 42.8 cm. Calculate the electric field it creates at the origin, entering first the x component then the y component
Homework EquationsThe...
Homework Statement
(Taken from Serway and Jewett Chapter 23, Q44, 9th Edition)
A thin rod of length ## l ## and uniform charge per unit length ##λ## lies along the x-axis as shown in the image attached.
(a) Show that the electric field at P, a distance d from the rod along its perpendicular...
Homework Statement
https://gyazo.com/d502fb408d6224ffa70700cf047bad20 (link to problem: #4).
[moderator edit: Image inserted for clarity]
A total charge Q is distributed uniformly over rod length L. The rod is aligned on the x-axis, with one end at the origin and the other at point x=L.
a)...
Homework Statement
An uncharged metal sphere hangs from a nylon thread. When a positively charged, nonconducting glass rod is brought close to the metal sphere, the sphere is drawn toward the rod. But if the sphere touches the rod, the sphere suddenly flies away from the rod. Explain why the...
Homework Statement
A thin rod carries a charge Q distributed uniformly over its length L , and is situated on the x-axis between x=±L/2. Find the electric field at an arbitrary point (x, y). (You will have to do separate integrals for the x and y components.)
Homework Equations
∫dE=∫kdq/r2...
Homework Statement
Find potential of a uniformly charged rod of length 2a
Homework Equations
-Superposition
The Attempt at a Solution
dV=\frac{kλdx}{r}, r=x
V=λk\int\limits_{-a}^a \frac{1}{x}\mathrm dx=0
Potential at point B is zero. Is this correct?
Homework Statement
A student designs an experiment to measure how electrically charged a plastic rod is. She knows a charged rod will deflect a stream of water from a tap.
The student plans to measure the angle of defection of the water stream when she brings the rod towards it.
She expects...
Homework Statement
a) 21.4-nC of charge is placed on a 4.8-m long steel tube with a d = 5.9-cm diameter. What is the magnitude of the electric field as a radial distance of r = d / 3?
b) What is the magnitude of the electric field as a radial distance of r = 20 d?
I was able to determine the...
Homework Statement
Find electric potential at a center of charged rod with charge 'Q' and length '2a' if referent point is at infinity.
Homework Equations
Electric potential of a point charge: V=kQ/r
Electric potential via electric field: integral (Edl)
The Attempt at a Solution
I used...
In the charged rod experiment, why didn't my hand neutralize the charge formed in the rod, since my body is a conductor and it is connected to the Earth?
I just wanted to post a solution for anyone interested. Any notes on how to solve would be nice for others.
1. Homework Statement
Mastering Physics (3rd edition) Problem 26.40
The figure (Figure 1) shows a thin rod of length L with total charge Q.
Part A) Find an expression for the...
1. Problem Statement
A uniformly charged rod of length L and total charge Q lies along the x-axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.)
(a) Find the components of the electric field at the point P on the y-axis a distance d from the origin...
Homework Statement
Homework Equations
See above
The Attempt at a Solution
I messed with this for hours. I also searched all over the web and can't find anything that is similar. None of the problems I could find gave a value, they just gave lambda. Anyway, I have no idea what...
1. Problem statement.
2. Known equations.
E = k § dq/r^2
Lamda = Q/L
3. Attempt.
I am having trouble figuring out the dq in this situation. I know that lamda = Q/L, and since those 2 are the variables that are changing I take the derivative of them so it looks like
Lamda = dq/dL
I...
Homework Statement
See image
Homework Equations
KQ/r^2
The Attempt at a Solution
I have seen several different ways of working this problem, but they have all failed on me.
I tried this using the equation above from my book
E = (8.99x10^9)(1036 C)/(4x10^-6m)
E= 2.328x10^18 N/C
I also...
Homework Statement
This is regarding setting up an integral to calculate the electric field on a point charge that is at a distance "a" from a uniformly charged rod of length "L". I have attached a picture of my work, which includes a diagram of the problem, and wanted to know if my thought...
Homework Statement
A rod 14.0 cm long is uniformly charged and has a total charge of -22.0μC. Determing (a) the magnitude and (b) the direction of the electric field along the axis of the rod at a point 36.0 cm from its center.
d (the distance between the center of the rod and the point)...
Homework Statement
A thin charged rod of length L lies along the x-axis as shown in the diagram below.
The charge on the rod is distributed with a density of λ= c x (C /m) where c is a constant.
What is the potential at a point (0,y)? (Your answer should be in terms k, c, L, and y).
See...
Homework Statement
A uniformly charged rod of length L and total charge Q lies along the x-axis as shown.
Find the components of the electric field at the point P on the y-axis a distance d from the origin.
There's also a part b but I should be able to figure it out easily enough...
Homework Statement
There is a non-conducting charged rod with length L=.0815(m) and linear charge density λ=-5.9x10-14(C/m). The rod is placed parallel to and on the x-axis, and at a distance a=.12(m) from the right-most end of the rod is point P. Calculate the magnitude and direction of E...
An initially neutral conductor contains a hollow cavity in which there is a + 65.0 nC point charge. A charged rod transfers - 75.0 nC to the conductor.
Afterwards, what are the charges along the inner surface and the exterior surface?
I understand that the charges from the rod are equally...
Homework Statement
Determine the electric force exerted on a negative point charge –Q located a distance d away from a line segment of charge, extending from –L/2 to +L/2 along the x-axis. The line segment has a non-uniform charge distribution, lambda(x)=lambda_0*x .
Homework Equations...
Homework Statement
Here is the question:
Thin rod AB has length l=100 cm and total charge q=37 nC that is distributed in such a way that its line density ? is proportional to the square of the distance from the end A, i.e. ?(x) =kx^2. Determine electric field E at the end A of the rod.
...
Homework Statement
Thin rod AB has length L=100 cm and total charge q0=37 nC that is distributed in such a way that its line density \lambda is proportional to the square of the distance from the end A, i.e. \lambda(x) =kx^2. Determine electric field E at the end A of the rod.
Homework...
Homework Statement
a) Calculate the electrostatic force on an uniformly charged rod of length 2L and charge q, which lies along the axis of an uniformly charged ring of radius R and charge q'. The centers of the charged rod and the rings are displaced at a distance z= z0.
b)Show that if z0 >>...
Homework Statement
Hello, the problem i have with finding the potential is the integration limits. Assuming both the rod and point lies on the x axis. When i integrate the sum of many slices of rod, ill get 2 answers(negative and positive) depending on the limits i use.
Example i ended up...
Homework Statement
http://www.phys.uri.edu/~gerhard/PHY204/tsl330.pdf
full solution here
Homework Equations
The Attempt at a Solution
Here is solution of problem for positively charged rod. What will be the difference if I take negatively charged rod? Why I start integration from d...
moving charged particles created a magnetic field perpendicular to their motion I believe. Anyways If you where to give a metal rod a positive or negative charge and spun it really fast would you created a noticeable magnetic field as a result of the moving rod as a whole?
Its just a thought...
Homework Statement
"A rod of 13.1 cm long is uniformly charged and has a total charge of -23.2 micro coulombs. Determine the magnitude of the electric field along the axis of the rod at a point 52.1575 cm from the center of the rod. The Coulomb constant is 8.98755e9 N M^2/C^2. Answer in units...
Homework Statement
When you rub a rubber rod with fur it becomes negatively charged. How does it keep it's charge if it's in your hand?
Homework Equations
The Attempt at a Solution
We did this in the lab and it definitely stays charged (at least long enough to observe some...
This question has been giving my brain some trouble. I think i have the Electric Field integral calculated correctly (but I'll post that up here too just in case I'm wrong which is likely) but when I get down to finding the charge on the rod I literally am making a wild guess at the solution...
hi, here's the question:
a rod in the xy plane has it's ends at (0,0) and (L,0). It has a uniform charge per unit length (lambda). Find the electric field on the x-axis for 0 < x < L.
solution attempt:
dEx = dE
= kdQ/r^2
dQ = lambda*ds = (Q/L)*dx
now i took my r = (L - a -...
Homework Statement
A uniformly charged rod is places along the x-axis from x=0 to x= L. carefully set up, but do not solve the proper integral to determine the x component of the electric field at the point (L,a)
Homework Equations
E=u
\int \frac{dq}{(r^2)}
for a line dq=λdl
The Attempt at...
Homework Statement
I tried to derive the electric field of an infinite (non conductor and conductor, I believe it is the same) charged rod.
Homework Equations
\oint \vec E d \vec A = \frac{Q_{\text {enclosed}}}{\varepsilon _0}.The Attempt at a Solution
I could do all, except at the end...
Homework Statement
The figure below is a section of a conducting rod of radius R1 = 1.30 mm and length L = 11.00 m inside a thick-walled coaxial conducting cylindrical shell of radius R2 = 10.0R1 and the (same) length L. The net charge on the rod is Q1 = +1.50 10-12C that on the shell is Q2...
Homework Statement
A charge Q = 4.35 ×10−4 C is distributed uniformly along a rod of length 2L, extending from y = -21.1 cm to y = +21.1 cm, as shown in the diagram 'on your assignment above. A charge q = 6.05 ×10−6 C, and the same sign as Q, is placed at (D,0), where D = 74.5 cm.
Use...
Homework Statement
A long rod of length L = 7.8 m carries a uniform charge Q = -6.5e-08 coulombs.
Calculate the potential difference VC - VA. The distance c is 4 cm, the distance b is 11 cm, and the distance a is 4 cm. Only part of the rod is shown in the diagram (it is longer than shown)...
If a rod with charge density lambda is bent into a 3/4 circle what is the E field at the center?
Well if the rod is 3/4 of a circle then neither the x or y components can cancel out, thus
E= k*lambda/ R (i) + k*lambda/R (j)
right?
If a uniformly charged rod is bisected in the middle the limits of integration would be (-L/2) to (L/2)? Thus the formula would be the integral from (-L/2) to (L/2) of k*dq/r^2. Now of course there might be an angle so cos(theta) and sin(theta) would need to be added.
If the point at which we...
Hey ... I'm trying to study for my PhD qualifying exam, and I have a bunch of questions from previous years, but no answer keys.
Homework Statement
A think uniformly charged rod of length L is positioned vertically above a large uncharged horizontal thick metal plate. The distance between...
I'm having a hard time about a negatively charged rod and the objects it will attract.
It's true that the rod will only attract positively charged objects, correct?
here's what I have to answer in my exam.
To explain the attraction which a rubbed rod of amber exerted on small...
A long, thin rod (length = 4.0 m) lies along the x axis, with its midpoint at the origin. In a vacuum, a +8.0 µC point charge is fixed to one end of the rod, while a -8.0 µC point charge is fixed to the other end. Everywhere in the x, y plane there is a constant external electric field...
Homework Statement
An infinite, thin, uniformly charged rod (charge density lamda) is situated parallel to a metal plate at a distance d above it. Calculate the E-field close to the surface of the plane as a function of perpendicular distance to the rod.
The Attempt at a Solution
I...