Homework Statement
Two 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 negative z direction) and passesthrough the x-axis at x a. Wire 2 passes through the x-axis at x 5 22a and...
Homework Statement
Problem and solution attached
Homework Equations
B = [4uI/(4pi)]sin(theta1-theta2]
The Attempt at a Solution
I understand fully how to do it except determining the value of theta1 and theta2. The solution says theta1 is 45(deg) and theta2 is -45(deg). How did they get those...
Problem statement, equations, and work done:
A perfectly conducting cube is placed in a uniform electric field in the x direction (see attached).
Step1 : Use Gauss's law to determine the electric field inside the cube.##\phi_E = 2E(r)A = \frac{q}{\epsilon_0} →...
just above the surface it's (kq/r^2) where r is the radius of the sphere and just below the surface it's zero, so is the electric field zero also exactly on the surface ? (as the q enclosed then will be zero since the flux is coming from the surface and not actually penetrating it)
and...
i know it s zero because of the electrostatic equilibrium, but in terms of point charges : from the charge distribution on the sphere surface if we consider 2 point charges opposite to each other in direction : it s logical that at the point in the mid distance between them the electric field...
Homework Statement
A conducting sphere with radius R is charged to voltage V0 (relative to a point an infinite distance from the sphere where the potential is zero). What is the surface charge density σ? Express your answer in terms of the given quantities and ϵ0.
Homework Equations
Electric...
Homework Statement
A positive point charge q is located inside a neutral hollow spherical conducting shell. The shell has inner radius a and outer radius b; b − a is not negligible. The shell is centered on the origin. Assume that the point charge q is located at the origin in the very center...
Homework Statement [/B]
There are two spherical conducting shells one inside the other. If the total charge on the inside shell is -3q and the total charge on the outside shell is +5q what's is the charge on the inner and outer surface of each shell?
Attempt at solution
My teacher said i...
Homework Statement
A charge conducting hollow sphere and a point charge with radius of sphere and distancestors between their centers
Homework Equations
[/B]
3. The atempt at a solution
I am unable to find the potential of Shere in presence of external point charge
I don't know if this is the right way of describing it, but I need to activate an area of capacitance on a touchscreen by applying some current to a piece of conducting material like tinfoil. I am needing to remotely turn pages on a touchscreen ereading device with a microcontroller, and this...
Homework Statement
Ok, so I've read many of the threads on here and they all say the same thing. I think I understand the Gauss Law and the theory behind the spherical shell.
The question is this:
Find the WORK done bringing a test charge q from infinity to the center of a spherical shell of...
Homework Statement
Three fixed point charges of +2 nC, −3 nC and +4 nC are located inside a thin uncharged metal spherical shell of radius R = 2 cm, as shown in the picture attached. Calculate the strength and direction of the electric field at position P, being 10 cm from the centre of the...
Homework Statement
In the figure, two conducting balls of identical mass m = 20 g and identical charge q hang from nonconducting threads of length L = 100 cm. If x = 5.9 cm, what is q? Since x is much smaller than L approximate sin(θ) by θ.
Homework Equations
Tcos theta = mg
Tsin theta =...
Homework Statement
Locate two charges q each and two charges –q each on the corners of a square, with like charges diagonally opposite on another. Show that there are two equipotential surfaces that are planes. In this way obtain, and sketch qualitatively, the field of a single point charge...
< Mentor Note -- thread moved to HH from the technical physics forums, so no HH Template is shown >
This problem is bugging me since a week so I decided to post this here
Suppose we have a wire with some current 'I' and which at a point 'o' spreads radially in all direction along conducting...
I am making an inductor coil out of wire that I removed from a piece of insulated copper wire. The inductor didn't conduct and I checked the conductivity of the coil alone via a multimeter and it didn't conduct any electricity and it is a copper wire so I need to know what is going on here...
1.my problem
The Attempt at a Solution
its an infinite cylinder ,because of symmetry i thing we can think at this as 2D problem of scattering
and using 10.19 10.20 i can do the discritisation of the problem.and finding the field.
but the problem is that those formulas depend of J which i am...
Homework Statement
A spherical nonconductor of radius a carries charge +Q uniformly spread through its volume. 2 hemispherical conducting shells of inner radius b and outer radius c are placed concentrically with the nonconducting sphere to form a single conducting sphere.
The conducting shell...
Homework Statement
Two long conducting cylindrical shells are coaxial and have radii of 20 mm and 80 mm. The
electric potential of the inner conductor, with respect to the outer conductor, is +600 V. An
electron is released from rest at the surface of the outer conductor.
What is the speed of...
Homework Statement
A spherical conducting shell of radius R is held at a potential V0. Outside the shell,
the charge density is ρ(r) = ρ0sinθcosφ for R < r < 2R. Find the electrostatic potential
everywhere outside the shell.
Homework Equations
Green's function in spherical coordinates between...
Homework Statement
There is an infinite conducting cylinder positioned at the axis with radius R. An infinite line charge (+λ) is placed distance d from the axis and d>R. I was supposed to 1. Find the potential and then 2. find the surface charge on the cylinder.
Homework Equations
V = -∫...
Homework Statement
Suppose a grounded spherical conducting shell of radius R surrounds a pointlike dipole at the center with \vec{p}=p\vec{k} Find the potential V(r,\theta) for r <= R. Hint: Use spherical harmonics regular at r=0 to satisfy the boundary condition.
Homework Equations
General...
This question seems to come up often, but I cannot find a satisfying explanation.
There is a point charge +Q some distance above an infinite conducting plane. Supposedly, the electric field below the plane must be zero. I have trouble understanding why this is true.
The total charge on the...
Homework Statement
A uniform plane wave propagates in a non-dissipative medium in the positive z direction. The frequency of the wave is 20 MHz. A probe located at z = 0 measures the phase of the wave to be 98 degrees. An identical probe located at z = 2 m measures the phase to be -15 degrees...
An infinitely long solid insulating cylinder of radius a = 5.2 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 23 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.2 cm, and...
Hello PF, I am having a bit of difficulty understanding this question.
Homework Statement
"A thin wire with linear charge density λ is surrounded by a conducting cylindrical shell."
(There is a hollow cylinder with a wire though it)
"If the electric field must be zero inside a conductor, is...
Homework Statement
In a physics lab we were instructed to give a positive charge to a metal cup by induction. Once we acquired the charged cup we were told to touch the inside of a cup with a proof plane (small metal washer on a glass rod used to transfer charge). Next, we used an...
When I connect filament(light bulb) in the electric circuit I can see the light.
but when I connect only conducting wire(copper line) in the electric circuit I couldn't see the light from the conducting wire even though conducting wire less resistant than filament.
How can I explain that...
Hello,
I have a conducting copper ring of inner radius a and outer radius b.
point charges Q pass through the centre of this ring for time dt.
so I guess I'm suppose to get a step function of induced current or something similar.
1)what is the equation relating the charge Q to the...
Homework Statement
An infinitely long solid insulating cylinder of radius a = 2.5 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ρ = 30 μC/m3. Concentric with the cylinder is a cylindrical conducting shell of...
Hi there I am just really confused as to how they arrived at the answer to this problem. I attached a picture of the entire question and the solution.
Homework Statement
Please see attached file. Homework Equations
Biot Savart Law for Magnetism of a Wire where the length of wire is much...
An uncharged spherical conducting shell surrounds charge -q at the center of the shell. Then a charge+ +3q is placed on the outside of the shell. When static equilibrium is reached, the charges on the inner and outer surfaces of the she are respecteively... +q,-q is the answer.
Does the +3q...
I want to calculate the field distortion caused by placing a conducting spheroid in a uniform electric field. The field direction is taken to be the z axis.
I'm using oblate spheroidal coordinates and the convention below:
x=a \cosh\eta \sin\theta \cos\psi \\
y=a \cosh\eta \sin\theta...
Homework Statement
A solid conducting sphere having a charge Q is surrounded by an uncharged concentric conducting hollow spherical shell. Let the potential difference between the surface of the solid sphere and that of the outer surface of the hollow shell be V. If the shell is now given a...
Homework Statement #
Two long, concentric, conducting cylinders of radii and b (a<b) each carry a current I in opposite directions and maintain a potential difference V.
An electron with velocity u (parallel to the cylinders) travels undeviated through the space between the two cylinders...
Homework Statement
There is a Uniformly charged Non conducting Spherical shell along with a point charge external to the shell . they make up an isolated system . Find the electric field inside the shell .
Homework Equations
The Attempt at a Solution Actually using superposition...
Homework Statement
A dipole is placed next to a sphere (see image), at a large distance what is E proportional to?
3. The Attempt at a Solution or lack thereof
I'm having trouble figuring out what's happening in any variations of these. How does the dipole affect the sphere's charge...
Homework Statement
An electron is projected from a distance d and with initial velocity u parallel to a uniformly charged flat conducting plate as shown. It strikes the plate after traveling a distance l along the direction of projection. The surface charge density of the conducting plate is...
If a spherical conducting shell is kept in an electric field (say, from a point charge kept at some distance outside the shell), will any charge be induced in the internal surface of the shell? Also what will the field be like inside the shell? Thanks.
Homework Statement
The conducting rod ab shown in the figure (Figure 1) makes contact with metal rails ca and db. The apparatus is in a uniform magnetic field 0.800 T, perpendicular to the plane of the figure.
If the resistance of the circuit abdc is 1.50 Ω (assumed to be constant), find...
Homework Statement
A uniformly conducting wire is bent to form a ring of mass m and radius r, and the ring is placed on a rough horizontal surface with its plane horizontal. There exists a uniform and constant horizontal magnetic field of induction B. Now a charge q is passed through the ring...
Homework Statement
A pair of parallel conducting rails a distance l apart in a uniform magnetic field B⃗ . A resistance R is connected across the rails. The bar has mass m and is initially at rest. A constant force F⃗ e to the right is applied to the bar. Find its velocity as a function of...
Hello,
i'm really struggling with this problem and don't understand some of the terminology.
Homework Statement
A bar of length 20cm and negligible mass can slide over two conducting rails connected to a dc generator producing an emf V0 = 6V, connected so as to produce a current as in...
Homework Statement
Q . Is the electric field zero inside a uniformly charged non conducting shell in the presence of an external charge ?
Homework Equations
The Attempt at a Solution
If the external charge had not been there ,then I am sure that the electric field inside at any point within...
Homework Statement
Q a) A charge is placed at a distance x from the center of a conducting sphere of radius R.Find the charge flown through the switch(from ground) when it is closed .
b) In the above question replace the switch with an ammeter .What is the reading of ammeter if charge is...
Homework Statement
A conducting spherical shell of outer radius a and inner radius 3a/4 is cut in two pieces via a horizontal plane a distance a/2 above the center of the spherical shell, as shown in Figure 1. Let us label "A" the upper part of the shell and "B" the lower part of the shell...
Homework Statement
Q1. A non-uniform electric field is given by the expression E=3yi+2zj-k.
Determine the electric field flux through a rectangle in the xy plane, extending from x=0 to x=20 cm and y=0 to y=15cm
Q2. A point charge q1 = +5nc is placed at the center of a non-conducting sphere...