Homework Statement
Two conducting spheres of radii rA and rB are connected by a very long conductive wire. The charge on sphere A is Qa and rA < rB.
What is the charge on sphere B?
Which sphere has the greater electric field strength immediately above its surface.
Homework Equations...
Homework Statement
We are given two concentric conducting shells centered around a common origin. Within the inner shell there is a positive point charge q and somewhere outside the two shells is another positive point charge q. The question wants the field lines for this system and then again...
Homework Statement
Two hollow conducting spheres are connected electrically, and are charged to a potential V. The connection is then removed and the outside sphere is grounded, find the charge and potential of the inner sphere after the grounding.
2. The attempt at a solution
I'm not...
The electric potential immediately outside a charged conducting sphere is 200 V, and 10.0 cm farther from the center of the sphere the potential is 150 V. Determine (a) the radius of the sphere and (b) the charge on it. The electric potential immediately outside another charged conducting sphere...
Homework Statement
A conducting metal ball of radius 2m with a charge of 3μC is surrounded by a concentric spherical shell of inner radius 4m and outer radius of 5m with a total charge of 4μC. Determine the electric potential in volts between the ball and shell at a radius of 3m...
Homework Statement
A large, thin plastic disk with radius R = 1.1 meter carries a uniformly distributed charge of Q = -7e–5 C. A circular piece of aluminum foil is placed d = 3 mm from the disk, parallel to the disk. The foil has a radius of r = 6 cm and a thickness t = 1 millimeter.
a. Find...
Homework Statement
Consider a solid conducting sphere with a radius a and charge Q1 on it. There is a conducting spherical shell concentric to the sphere. The shell has an inner radius b > a, outer radius c and a net charge Q2 on the shell. Denote the charge on the inner surface of the shell...
Homework Statement
A conducting spherical shell is divided into upper and lower halves with a narrow insulating ring between them. The top half is at 10V and the bottom half is at -10V. Write down the appropriate expansion for Φ and use symmetry and the expected behavior at the origin to...
Consider a conducting loop with resistance R and area A suspended by a non-conducting wire in a magnetic field \vec{B}=B\hat{y} . The wire is a torsion spring with constant k.The equilibrium state of the loop is when it resides in the yz plane and its suspension is somehow that it can rotate...
Homework Statement
Hi! Bear in mind, before shooting me down, that I'm very new to electrostatics and extremely (i.e. today) new to the method of image charges, and all my learning is dodgy book-learning and not learning from asking the learned questions.
This said, I just want my...
Homework Statement
Two tiny conducting spheres are identical and carry charges of -19.4 μC and +49.3 μC. They are separated by a distance of 2.55 cm. What is the magnitude of the force that each sphere experiences?
Homework Equations
Coulombs Law: F=kelq1q2l/r2
Ke = 8.99E9
The Attempt...
Disclaimer: this question is really just for my own edification in preparation for a test.
In the figure above, we have a conducting bar that is placed onto two sloped conducting rails. The box labeled V is a voltage source. Lastly there is a magnetic field starting from the "base", rising up...
I'm studying for the MCAT and this problem came up. The correct answer is D. However the explanation was very confusing.
The explanation is verbatim:
" Let's start by considering A. Using the right-hand rule on a current running through the wire in figure 2 shows you that the rod is pushed...
I understand that taking the boundary condition that the electric field changes \frac{\sigma}{\epsilon_{0}} when you cross a charged surface and the fact that the electric field is zero inside a conductor that the electric field outside the conductor should be \mathbf{E} =...
Suppose I have a charge inside a conductor as shown in the image I've attached. For any charge distribution: \oint \mathbf{E} \cdot d \mathbf{a} = 0
I can see that if I took some path from the charge, through the conductor, and back to the charge, the integral would be zero still.
Now, that...
Homework Statement
Consider three concentric conducting shells, with potentials 0, ø_0, 0 and radius a, b ,c where a < b < c.
(a)State conditions for Laplace to work and boundary conditions for E
(b)Show ø is of the form:
(c) Find ø and E everywhere.
(d) Find the charge density and...
Homework Statement
A point charge of 10 coulombs is placed at a distance d= 20cm from the centre of an earthed conducting sphere of radius a= 5cm.Find ① The maximum surface density of charge induced on the sphere. ② The force of attraction on the point charge ③ The Sphere is now Insulated...
Consider a magnetic field perpendicular to a conducting ring moving with a velocity, v.When the ring is moving on the ground in translational motion alone, will emf be induced? I am slightly confused because if you consider the two halves of the ring as two rods, emf will be induced in both of...
Homework Statement
A conducting loop with area 0.13m2 and resistance 6.0Ω lies in the x-y plane. A spatially uniform magnetic field points in the z direction. The field varies with time according to Bz=at2−b, where a = 2.8T/s2 and b = 8.0T .
(a) Find the (magnitude of the) loop current...
Homework Statement
A hollow conducting spherical shell has radii of .80m and 1.20m. The sphere carries a net charge of -500 nC. A stationary point charge of +300 nC is present at the center origin. Calculate the electric field at points:
a) 0.30m
b) 1.00m
c) 1.50m
I have attached the image...
Homework Statement
A point charge q is at the center of a spherical conducting shell of inner radius a and outer radius b. How much work would it take to remove the charge out to infinity?
Homework Equations
Potential, W = 1/2qV
The Attempt at a Solution
I am going at this in...
Homework Statement
A cylindrical capacitor of length L consists of a solid conducting core with a radius R and an outer outer hollow conducting tube with an inner radius 3R. A voltage V_{ab} is applied between the two cylinders. Assume L >> R which means we can neglect edge effects.
Given [L...
what is difference between uniformly charged non conducting cylinder and conducting cylinder with respect to their charge distribution and conductivity?
Homework Statement
Homework Equations
-
The Attempt at a Solution
The relative velocity of magnet with respect to ring is 5−4=1m/s
How can I find the Direction of induced current in conducting ring due to motion of bar magnet?
I searched online and found this ...
So here we are talking about solving this problem by method of images.
The approach taken by most of electrodynamics textbooks is as follows:
"If we wish to consider the problem of an insulated conducting sphere with total charge Q in the presence of a point charge q, we can build up the...
Homework Statement
The cross section of a long coaxial cable is shown in the figure, with radii as given. The linear charge density on the inner conductor is -80 nC/m and the linear charge density on the outer conductor is -10 nC/m. The inner and outer cylindrical surfaces are respectively...
Homework Statement
At a distance of 0.206cm from the center of a charged conducting sphere with radius 0.100cm, the electric field is 485N/C . What is the electric field 0.612cm from the center of the sphere?
Homework Equations
E(r)=1/4∏ε_0 * qr/R^3
where r is radius of the Gaussian...
When charged spheres are connected using a conducting wire, the charge will redistribute so as to make the potential constant because the connection makes them a single conductor and conductors are equipotential surfaces.
My doubt was that if the spheres are of different size and have different...
Homework Statement
Two long, hollow, and coaxial conducting cylinders, with radii a and b>a , are lowered into a tub of fluid with dielectric constant \kappa . A voltage V is applied between the two cylinders. The fluid is observed to rise up some height h into the volume between the...
Can somebody explain to me, when equations 2.48 and 2.50 are applicable and what ##\Phi_s## and ##\Phi## actually are? The thing is, I want to find a general equations that determines the field produced by conducting spherical sphere in an external field and was wondering whether these are the...
Homework Statement
The space between the plates of a parallel plate capacitor is completely filled with a conducting slab.What is the capacitance of the system ?
Homework Equations
The Attempt at a Solution
The capacitance of a capacitor when a dielectric medium is placed...
[b]1. Two semi infinite conducting plates at right angles to each other, we bring in a charge q from infinity to point (a,b) what is the energy involved in doing so?
Homework Equations
coulomb's law and method of images in griffith.
The Attempt at a Solution
force can be easily...
Hi physicists here. :)
I've just joined the forums and here's my very first question :P :
Aakash PHYSICS JEE (Main & Advanced) Study Package - 5 & 6 (Class XII)
Chapter - Electric Charges and Field
Assignment (page 12)
SECTION - A; Q.no - 1
What I expected the answer to be was...
Homework Statement
Homework Equations
The Attempt at a Solution
The ground is at zero potential. Hence, the sphere should be also at zero potential. The net charge should be zero, so a charge of -Q should flow from the ground to sphere. But this is wrong. :confused:
A spherical conducting shell with charge total q surrounds a charge –2q at the center of the shell. The
charges on the inner and outer surfaces of the shell are respectively
I know that if the conducting sphere has no charge the inner and outer charges would be +2q, and -2q respectively but...
I am in general physics III (E&M) at Cal Poly and I have a midterm tomorrow... my professor didn't go over Gauss' Law too much, so I'm having issues with this problem that is on his review. I will write the question exactly as it appears on the sheet.
Homework Statement
"You have a hollow...
Hey. If a wire is conducting electricity and all the current is concentrated at the edge of the wire, as in the skin effect, the magnetic field everywhere inside should be zero due to symmetry when applying biot-savarts law.
However, according to ampere's law, it shouldn't. I take a...
Say we have a +Q charge located inside an isolated spherical conducting body and I want to know the E field at some point P outside the conducting body.
I reliase that since this is a conducting body, the E field inside is zero. So by Gauss's Law, ##Q_{enclosed} = 0##. The only way for this...
Homework Statement
Consider that the electric field is proportional to q r-2-d\hat{r}, where q is magnitude of a point charge and d<<1.
Two concentric conducting esferical shells for radii a and b (a>b) connected by thin wire. The external shell has a total charge qa. Prove that the charge...
Homework Statement
We have two conducting plates. One is moveable, the other is not moveable. The moveable has the charge of +1V. While the other plate has the charge 0V and is part of a enclosing envelopment. See fig:
http://tinypic.com/view.php?pic=wb2onm&s=6
But when we move the...
Homework Statement
I am very confused about the differences between a conducting and nonconducting spherical shell. The biggest problem that I am having is the way that electric fields act both inside,outside, and within these shells. Any explanation would be much appreciated.
I've just worked out using the method of images that the total induced charge on a grounded hollow conducting sphere in the presence of a dipole outside the sphere pointing in the radial direction is non-zero. I can't think of an intuitive explanation as to why a dipole outside would induce a...
Homework Statement
Two conduction spheres with radius R1 og R2 are connected with a conducting wire. The length difference between the spheres is large enough to neglect any effect their respective electric fields have on each other. The total charge of the system is Q.
Find the charges...
Homework Statement
A solid conducting sphere with radius of R1 and charge of 3Q, is placed in the center of a thin conducting spherical shell with inner radius of R2 and outer radius of R3, charged with -Q
what is the field for r<R1, R2>r>R1, R3>r>R2, r>R3 and what is the charge...
Homework Statement
A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is -3Q, and it is insulated form it surroundings. What is the surface charge density on the inner surface of the...
Homework Statement
Based on the picture, the inner cylinder has a radius R1 and the outer R2, σa=-σ ; σb=3σ
each cylinders are of lengths greater than R1, ignore the end effects and neglect thickness of cylinder.
a). What is the electric potential difference between the outer cylinder...
I'm not taking this course for credit...
Hi! Is this a good text after Halliday?
I'm trying problem 7.7-
a metal bar of mass m slides frictionlessly on 2 conducting rails...
perhaps the current is I=integral J dot da, generated by the moving metal bar, velocity v (results in changing reference...
Homework Statement
Suppose we have three identical conducting spheres and one of them carries a charge of Q. if they are lined up in a row and then separated one at a time without grounding them...
a. only one will be charged with Q
b. they will all be discharged
c. one of them will have a...