Homework Statement
An infinitely long solid conducting cylindrical shell of radius a = 3.1 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density λinner = -0.49 μC/m. Concentric with the shell is another...
Homework Statement
I have attached the problem with a diagram.
Homework Equations
flux = EA = Qencl/εo
The Attempt at a Solution
I am confused about how I can find the charge densities on each surface. What I think is that the 5C will spread to both surfaces of plate one so...
Homework Statement
An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity σ1 = 0.34 μC/m2. Another infinite sheet of charge with uniform charge density σ2 = -0.14 μC/m2 is located at x = c = 26 cm.. An uncharged infinite conducting slab is placed...
Homework Statement
What is the difference between a uniform conducting sphere and a uniform non-conducting sphere? I'm studying the Gauss's Law right now.
Homework Statement
A solid conducting sphere carrying charge q has radius a. What is the electric field when r<a. Homework Equations
EA=Qenclosed/εo
The Attempt at a Solution
I found it using gauss law where Q=density*V. I ended up with qr/(4pi*a3*εo)HOWEVER, my friend told me it should be...
Homework Statement
A conducting sphere of radius A has a charge +Q on it and is surrounded by an insulating material whose dielectric constant varies with radius according to εr = 2exp[-(r/a-1)]2. The dielectric has a spherical outer boundary B. Find the values of D, E, P, ρ as a function of...
Homework Statement
A conducting wire has a resistivity, ρ as a function of its length, L, given by ρ=(ρ0)(L) where (ρ0) is constant. A is the cross-sectional area of the wire. the resistance of the wire would be
A) [(ρ0)(L)]/A
B) (ρ0)/(2A)
C) [(ρ0)(L)]/(2A)
D) [2(ρ0)(L^2)]/A
E)...
Simple question,finding the charge on conducting sphere??
A conducting sphere of radius 1cm has a charge of 5microC is placed far away from another sphere with radius 2cm,,the two spheres are connected to each other by a thin wire ,the charge on the larger sphere is ?
Answer : 3.33microC...
Suppose there are two conducting balls of the same radius and the balls are separated by some distance. If both balls are at the same nonzero potential and the potential at infinity is zero, does a closed form formula for the potential exist? Since I can't find the problem solved anywhere I...
Homework Statement
Two square parallel sheets with area>>distance between them have total charges of Q1 and Q2 on them. What is the force between them?
Homework Equations
Q1in+Q2in=0
Q1in+Q1out=Q1
Q2in+Q2out=Q2
Q1out=Q2out
The Attempt at a Solution
I set up 4 equations for the...
frankly i don't know much about anti-matter or super conductors...i just read an into-level topic on anti-matter and had a thought.
the main concern while developing an energy source is that its feasibility should be considered...right? and the problem with anti-matter is that it takes too much...
I think understand the concept of the "method of images" to describe a conductor. The conductor has to be an equipotential or else electrons would be moving around inside it. This equipotential can be described by replacing the conductor with an image charge.
For example imagine the field...
Hi,
I tried to make some simulations of two conducting spheres in a constant electric field. The simulations seem to indicate that the electric field in the gap increases with increasing diameter of the spheres at a constant gap distance. Does this make sense? I expected just the reverse. What...
Homework Statement
Two spherical conductors of radii r1 and r2 are separated by a distance much greater than the radius of either sphere. The spheres are connected by a conducting wire. The charges on the sphere are in equilibrium are q1 and q2 respectively, they are uniformly charged. Find...
Why is the Qenclosed zero if there's a charge inside the shell?
Homework Statement
A solid conducting sphere of radius a is placed inside a conducting shell which has an inner radius b and an outer radius c. There is a charge q1 on the sphere and a charge q2 on the shell.
Find the...
Hi. I have this problem, which I must solve. It says: two concentric conducting spherical shells, of radius a and b (a<b), are charged at Q and -Q respectively. The space between the spheres is filled at its half by an hemisphere of dielectric with dielectric constante ε.
a)Find the field for...
Homework Statement
A uniformly polarized dielectric disk surrounded by air is lying at a conducting plane, as shown in the figure. The polarization vector in the is,
\vec{P} = P \hat{k},
the disk radius is a, and the thickness d. Calculate the electric field intensity vector along the...
So this should probably go into math's section, but I feel you guys can give me the answer too, since this comes from an EE course(Theory of electromagnetic fields)
http://pokit.org/get/2f3e7eef6b38bc75f0023b94976a2997.jpg(1)
http://pokit.org/get/fc8658090d67ae0fafe79970021d1518.jpg(2)...
My professor said to in order to solve this, integrate the electric field to find the electric potential...
\Delta V = -\int\stackrel{\rightarrow}{E}dl
My question is, using Gauss's Law, (\oint E_{n}dA = \frac{Q}{\epsilon}), how do I go about finding Q?
Isn't Q just the charge of the shell?
Homework Statement
Two uncharged conductors A and B are of different sizes. They are charged as follows:
1. A is charged via an electrostatic generator to charge q
2. A is briefly touched to B.
3. Steps 1 and 2 are repeated until the charge on B reaches a maximum value.
If the...
Let's say there is a conducting plane of conductivity \sigma. Boundary conditions for above and below such plane are:
E_1^t = E_2^t
(D_2 - D_1 ) \cdot n = \rho
i.e. tangential components of E field are continuous and perpendicular components of D are discontinuous because of surface charge...
An infinitely long solid insulating cylinder of radius a = 5.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 45 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.2 cm, and...
Homework Statement
A conducting spherical shell that has zero net charge has an inner radius R1 and an outer radius R2. A postive point charge q is placed at the center of the cell. The 1st part was to find the electric fields at the 3 diff places. The part I need help on is where we have to...
Question:
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.141 N when their center-to-center separation is 67.0 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an...
Homework Statement
We have a metal conducting torus and a point charge that is located on the torus' axis (location on the axis is arbitrary). Calculate the (influenced) charge distribution on the torus and the electrostatic force on the point charge.
Homework Equations
Equation for...
Homework Statement
At time t = 0 a charge distribution \rho(r) exists within an idealized homogeneous conductor whose permitivity \epsilon and conductivity \sigma are constant. Obtain \rho(r,t) for subsequent times.
Homework Equations
Maxwell's equations = Gauss' Equation + Ohm's...
Assume a infinite depth good conductor block with width in y and length in x direction. Boundary is at z=0 and air is at z=-ve and conductor at z=+ve. Let a voltage apply across the length of the block in x direction so a current density established in +ve x direction. We want to look at the EM...
what is the difference between the electric field intensity of
1)infinite plane charged sheet whose formula is
E=\sigma/2\epsilono
and 2)infinite conducting charged sheet whose formula is
E = \sigma/\epsilono
Homework Statement
Inside a metal conducting shell of radius R there is a negative charge q at a distance a from the center M. The shell is brought up to a potential V. What is the surface charge on the inside and outside of the conductor?
The Attempt at a Solution
I'm not sure if this...
In Griffiths Electrodynamics (page 397) electromagnetic wave reflection at a conducting surface is introduced. He says "for ohmic conductors, Jfree = sigma * E, there can be no free surface current since this would require an infinite electric field at the boundary."
I don't understand why...
Homework Statement
A 5.5 cm radius conducting sphere is charged until the electric field just outside its surface is 1667 V/m. What is the electric potential of this sphere, relative to infinity?
Homework Equations
V = - integral ( E (dot) dl )
The Attempt at a Solution
They only...
Homework Statement
Two very long, straight, parallel wires carry currents that are directed perpendicular to the page as shown in Figure P30.9. Wire 1 carries a current I1 into the page (in the -z direction) and passes through the x-axis at x = +a. Wire 2 passes through the x-axis at x = -2a...
Homework Statement
A rod rotates clockwise about a point as pivot with the constant frequency 5 rev/s. Find the potential difference between its two ends, which are 80 cm apart, due to the magnetic field B = 0.3T directed into the page.
Homework Equations
There are two methods to find...
Hello fellow physics-people,
I was just thinking about the following setup:
We have a conducting surface (with smoothly varying resistivity) hooked up to some battery with the wires contacting the surface at two arbitrary points, A and B. How would we go about figuring out the current...
Hey,
Completing AP Problems, I ran into a puzzling answer.
Basically, there was a conducting sphere with charge Q on it and radius R1, and then around it two hollow hemispheres were placed (forming a spherical capacitor) which had no charge, with Radius R2 at the inner edge and R3 at the...
In a recent homework problem for my physics class, there was a question regarding a non conducting disk with a charge, and this rotating disk (axis or rotation perpendicular to the surface, through the center) will produce a B field because of the movement of charges.
Now suppose I have a...
Homework Statement
A copper rod 90cm long is used to poke a fire. The hot end of the rod is maintained at 103 degrees Celsius and the cool end has a constant temperature of 25C. What is the temperature of the rod 24cm from the cool end?
specific heat of copper: c = 387 J/kg*K
thermal...
Suppose I put an (uncharged) hollow conducting sphere with inner radius a and outer radius b in an external electric field in the positive z direction.
Apparently, the potential INSIDE the sphere -- that is, for 0 < r < a -- is zero. Can someone explain why this is? I understand that the...
Homework Statement
http://i.imgur.com/j3uzQ.png" to screenshot of question
Homework Equations
The "Integral Form" the question refers to is the http://upload.wikimedia.org/math/0/3/1/0311484f33c932135c09ab12ca8d1a29.png"
The Attempt at a Solution
The hint hasn't really helped me...
Firstly, I'm a bit confused about EM wave propagation. Take the picture you see everywhere illustrating the perpendicularity of E and B in a traveling EM wave (like this http://web.onetel.net.uk/~gdsexyboy/em_wave.jpg) -- does that actually illustrate the magnitudes of E and B at a particular...
Homework Statement
There are two conducting spheres, one hollow outer sphere which originally had +60nC of charge on it, and a smaller inner sphere enclosed by the hollow outer sphere which contains +20nC of charge.
Homework Equations
INT(E.DA) = Qenclosed/epsilon0
The Attempt at a...
Homework Statement
A conducting rod slides down between two frictionless vertical copper tracks at a constant speed of 4.5 m/s perpendicular to a 0.56-T magnetic field. The resistance of the rod and tracks is negligible. The rod maintains electrical contact with the tracks at all times and...
Homework Statement
A long circular solenoid of radius a and N turns per unit length has its axis in the z direction. A small highly conducting ring, or area A, resistance zero but self inductance L, is place with its plane horizontal and its centre on the axis and near the top of the...
Homework Statement
What is the electric field if r=a and r=b?
Reference:http://www.youtube.com/watch?v=BcuQ2c_WrMc"
2:11
And what if the net charge is just -Q on the conductor instead of -3Q? Will the electric field at r>b be 0?
Reference: Same video, 3:00-3:10
Homework Equations...
Given the equation for the potential "on" a non conducting sphere how can the potential and electric field inside the sphere be calculated?
If there is a potential on the sphere am I to assume that there must therefore be a charge build up in the sphere? Is this just calculated by the Laplace...
Homework Statement
A 0.100m long solenoid has a radius of 0.05m and 15000 turns. The current in the solenoid changes at a rate of 6.0 A/s. A conducting loop of radius 0.0200m is placed at the center of the solenoid with its axis the same as that of the solenoid. Determine the mutual...
Homework Statement
Consider two coaxial conducting cylinders with radii a and 3a and length L. The region a<r<2a is filled with a material of conductivity σ1, and the region 2a<r<3a has conductivity σ2. (Assume ε1=ε2=εo.) The inner cylinder is held at potential V0 and the outer cylinder at...
Homework Statement
Two charges +Q and -Q are a horizontal distance a apart and a vertical distance b above a large conducting sheet. Find the components of the forces acting on each charge.
Homework Equations
The Attempt at a Solution
Ok well I've tried to solve this using image...
Homework Statement
This isn't about a specific problem, but it is based off of a homework problem. There is an insulating sphere (from radius 0 to a), and it is concentric with a spherical conducting shell (from radius b to c). If I know the charge of the insulating sphere and the net charge...