Homework Statement
A force of 2.4N [L] is exerted on a -1.8x10-6C charge 0.2m away. What are the possible charges and locations of the second charge?
Homework Equations
FE= kq1q2 / d2
The Attempt at a Solution
Rearranging the equation above for q2 is
q2 = FE x d2 / kq1
and substituting...
Hey,
Theory: The voltage of a thundercloud is too low to ionize air particles and to produce a thunder.
Particles of cosmic radiation are the trigger.
I calculated whether the voltage of a thundercloud is enough to ionize air particles but the voltage was always to low. So I wanted to know...
Hi,
Can someone please explain as to why light beams attract or repel each other even when they don't have charge. Seems like it behaves like two current carrying parallel wires. There is very little material about this which goes completely above the head.
Thanks
For a lab I just finished this past week, we were working with the hall effect and finding hall voltages. The metals used were p-germanium and n-germanium semi-conductors. I understand why in n-germanium the hall voltage is positive and p-germanium is negative assuming negative charge carriers...
Homework Statement
An infinitely long cylindrical capacitor with inner radius a and outer radius b carries a free charge per unit length of ##\lambda_{free}##. The region between the plates is filled with a nonmagnetic dielectric of conductivity ##\sigma##. Show that at every point inside the...
The Bohr magneton is (see e.g. Wikipedia) in SI units:
$$\mu_B=\frac{e\hbar}{2m_e}$$
and in CGS units:
$$\mu_B=\frac{e\hbar}{2m_ec}$$
So the dimension of the electric charge in SI, ##[q_{SI}]##, is related to the dimension of the electric charge in CGS, ##[q_{CGS}]##, by...
Homework Statement
An atom or ion with only one electron is excited from the ground state to the first excited state (n = 2) with a photon of 1.47E-17 J of energy. What is the charge on the one-electron species?
A. 0
B. +1
C. +2
D. +3
E. +4
Homework Equations
E=-(2.18E-18)(Z2)/(N2)
The...
Homework Statement
Find the total electric charge in a spherical shell between radii a and 3a when the charge density is:
ρ(r)=D(4a-r)
Where D is a constant and r is the modulus of the position vector r measured from the centre of the sphere
Homework Equations
Q=ρV
Volume of a sphere =...
Homework Statement
Consider a coaxial cable which consists of an inner cylindrical conductor of radius R1, and a shell cylindrical conductor of radii R2 and R3. The 2 conductors are separated with a dielectric material of permittivity ε. Consider the length of the cable, ℓ, much larger than R3...
Good Afternoon
Is it correct to calculate the force of a point charge by relating the force to the kinetic energy and this with its derivative? I have the graphic V/r (Velocity Vs Space), want to calculate force, relate work with force in this way: W=ΔEk, in my case the kinetic energy initial is...
Homework Statement
part b of below
[/B]
Homework Equations
##(1+x)^{1/2}=1+\frac{1}{2}x-\frac{x^{2}}{8}+...##
The Attempt at a Solution
[/B]
##\int\limits^{\Lambda}_{-\Lambda} \frac{dy}{\sqrt{r^2+y^2}}=log(\lambda+\sqrt{\lambda^2+r^2}) - log(-\lambda+\sqrt{\lambda^2+r^2}) ##
##=...
Homework Statement
Consider an infinite environment with electrical permittivity non-homogeneous $$\epsilon=\epsilon_0(1+a/r)$$ a being a positive constant. A conducting sphere of radius R and charge Q is put on that environment, centered at r=0. Determine the electric field $$E$$, the...
Homework Statement
Using the method of images discuss the problem of a point charge q inside a hollow grounded conducting sphere of inner radius a.Find
(a) the potential inside the sphere
(b) induced surface-charge density
(c) the magnitude and the direction of force acting on q
is there any...
Homework Statement
Consider an infinitely long one dimensional conducting wire with a homeogenous charge density ##\lambda##, running along the central axis of an infinitely long cyclindrical glass casing of radius b (glass is a dielectric material). Calculate:
a) The displacement vector...
Homework Statement
With regards to a one dimensional conducting wire with a homogeneous charge density λ surrounded by a cylindrical glass dielectric of radius R, find:
(a). The displacement vector inside the dielectric
(b). The surface bound charges on the surface of the dielectric
Sorry...
Hi people!
First of all, sorry for my poor english.
I read in many places and I did the calculus and I agree that the field of a moving charge have this aspect:
(Taked from Feynman´s Lectures on Physics chapter 26th.)
But my problem is in that my intuition says me that it must be something...
Homework Statement
Hi! So I stumbled upon this simple "plug n' play" exercise in my Physics textbook. Basically it gives you certain molecules/atoms, and tells you to measure the Electric Charge, and its Mass. Pretty simple, but I hit upon some hickups. Anyway, let's get to it:
Find the...
So I am studying Gauss's law and I am a bit confused about something. If I am asked to compute the volume or surface charge density of a solid perfectly conducing sphere with a charge Q and radius r, what is being asked of me? Am I just being asked to compute the volume of a sphere and multiply...
Homework Statement
Homework Equations
\overrightarrow{F} = \frac{1}{4\pi\epsilon_0}\frac{qQ}{r^2}\hat{r}
The Attempt at a Solution
I found to hard summarizing all forces directly adding each to other.
The solution of this problem is only matter of drawing the 13-sided polygon and forces...
Homework Statement
Two particles A and B each carry a charge Q and are separated by a fixed distance D. A particle c with charge q and mass m is kept at the midpoint of A and B. If C is displaced perpendicular to AB by a distance x where x<<<D,
find the time period of the oscillation of the...
Imagine that I have a straight, statically-charged, cylinder-shaped tube with arbitrary (ideally infinite) extent. The charge is distributed evenly over the tube such that the field inside the tube is zero. For convenience, let's line up the tube centered along the x-axis such that the...
Sorry if this has been answered already, i searched for a while. I know how to solve the problem of the potential of a point charge near a grounded infinite conducting plane, and a line charge near an infinite conducting plane. If the plane isn't necessarily grounded, say its at some potential...
In a diode, we have N side, P side, and a depletion region, made of positive and negative charged sides. N side and P side of the diodes are neutral charge.
In N side there are free electrons. In the positive charged side of the depletion region, there are positively ionized atoms that "lack"...
Homework Statement
Given 2 positively charged parallel plates with equal surface charge densities, calculate the electric field at a point outside the the parallel plates.
Homework Equations
E= (surface charge density) / 2(relative permittivity) for a single sheet.
The Attempt at a Solution...
Homework Statement
[/B]
Consider an electron beam traveling with velocity v. The total current of the beam is I.The beam is of uniform charge density and has radius R.
(a) Find E and B at r<R and r>R using Gauss' and Ampere's laws. ( This part is fine.)
(b) Consider an electron in the beam at...
Homework Statement
The Lorentz Force can be used to sort ions (atomic or molecular) based on their charge to mass ratio. This configuration has been used to separate isotopes and as a mass spectrometer. A beam of Strontium ions Sr+ is accelerated through a potential of 500 V and injected into...
Even with the charge screening effect it is exact. Is there an explanation in the standard model? Can the fact there are 3 families of particles be involved?
Homework Statement
A charged parallel plate capacitor is connected to a battery. The plates of the capacitor are pulled apart so that their separation doubles. What happens to the charge and the amount of energy stored by the capacitor?
Homework Equations
Q = cV
Ue = (1/2)(Q)^2 / c
\Delta V...
Homework Statement
Homework Equations
F= (k*q*Q)/r^2
The Attempt at a Solution
The answer key gives the answer as D. I thought it was C. If the net electric force acting on P is zero, doesn't that mean that the force between Q1 and P and the force between Q2 and P need to cancel each other...
Hi.
I know how to use Gauss' Law to find the electric field in- and outside a homogeneously charged sphere. But say I wanted to compute this directly via integration, how would I evaluate the integral...
I am trying to formulate the Current Density for a Loop of wire with a diameter,d, current,I, and an cross-sectional Area of the wire ##\pi(d/2)^2##. With spherical coordinates (radial, azimuthal, polar)
##\bar j## = ##\frac{I}{\pi(d/2)^2}*cos \theta *sin \phi \hat x##...
1. 2. I'm totally lost on this problem. Tried guessing in several ways but couldn't come up with the right answer.3. Since I was totally mesmerized by this problem, I need someone to solve it and provide explanation of critical steps of the process. Can someone help me?
Homework Statement
There is a finite line charge with length L = 1 meter and linear charge density λ = 1*10^-16 C/m. Point P is h = 70cm above the line charge and distance x from the right end of the line charge. The magnitude and direction of the electric field at point P must be found. The...
Homework Statement
Consider the parallel plate capacitor(no figure). The capacitor plates have a separation distance d in the z-direction. The volume charge density is given by ρ_v. Find v(z).Homework Equations
ρ_v = ρ_o*sin(pi*z/2*d)
The Attempt at a Solution
[/B]
∫(ρ_vdz) =...
Homework Statement
A disc of radius R lying in the xy-plane is composed of an inner disc of radius R/2 carrying a uniform surface charge density +σ and an anulus (inner and outer radii of R/2 and R) carrying a uniform surface charge density -σ. Assume that the inner disc and the annulus are...
Ok, this might be a really dumb question, but I still am asking it: I was reading about gauss' Law when it comes to a hollow conductor with a (say) point charge inside it, and it seems intuitive to me that, in electrostatic equilibrium, the charges rearrange themselves to cancel the electric...
I get a gist of how electric charge comes about in string theory here,
https://physics.stackexchange.com/questions/5665/electric-charge-in-string-theory
How much needs to be amended to the above answer to understand how color charge comes about in string theory? I assume there are interesting...
Homework Statement
I've seen many books writing the cosine rule like this:
a^2 = b^2 + c^2 - 2bc cos A
My electricity textbook for an electric field in a point between two charges says this:
E resultant = root[E1^2 + E2^2 + 2*E1*E2*cos(angle between E1 and E2)]
In the first equation it is -2...
Hi all,
This question has been bothering me for some time, so here it is.
I know that moving a charged particle, like an electron, generates a magnetic field. I know that moving electric charges in a circle (a loop of wire) generates a magnetic field. The question is, will a charge moving in a...
Cosmic rays are overwhelmingly positively charged. Hence, whatever is emitting them must be building up an enormous negative charge. So should we expect to see highly charged Reissner-Nordstrom black holes out there? Perhaps even near extremality?
Homework Statement
"Two very long uniform lines of charge are parallel and are separated by ##x=\frac{3}{10}m##. Each line of charge has charge per unit length ##\lambda = 5.2_{10^{-6}}\frac{C}{m}##. What magnitude of force does one line of charge exert on a ##y=\frac{1}{20} m## section of the...
Hello,
I have just bought the static charge meter, Keyence SK-1000.
Analog output is sent through two small cables denoted as:
1. Analog output (surface potential).
2. Analog output GND.
The analog output can be set to one of the following values: NONE (OFF), -5 to +5V, 0V to 5V, 1V to 5V, 4mA...
Is the potential energy of a symmetric planar (x,y) charge distribution lower than any non symmetric distribution ? from the discussion on Gauss's law and symmetric charge distributions I would think so because the electric field could only be normal to the (x,y) plane in the symmetry case but...
Homework Statement
Positive charge Q is distributed uniformly along the x-axis from x = 0 to x = a. Determine
a. The electric field produced by the charge distribution Q at points on the positive x-axis where x > a.
b. A point charge q is then placed at x = a + r. Determine force on q due to Q...
Why are these batteries stated as 12V batteries if often they have a reading of greater than 12V e.g 13 or 14 and when you rev the engine hard while in neutral and do a voltage test on some components in the car circuit you get a reading of much much greater like 40V! How is this working? Could...
Homework Statement
Consider a ring of radius R placed on the xy-plane with its center at the origin. A total charge of Q is uniformly distributed on the ring.
a) Express the volume charge density of this configuration ρ(s,Φ,z) in cylindrical coordinates.
b) Express the volume charge density of...
Homework Statement
A point charge ##q = −5.0\times 10^{−12} C## is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is...
Homework Statement
I just have a general question about Guass's Law and the cylinders above. I don't really understand what the difference is between the 2 cylinders? They are both charged, but one of them does not have an electric field inside the cylinder because it a conducting...
Hi
For a 1200 watt tool, there are 20, 40 and 60 volt batteries, and in the case of a 2 amp hour (7200 Coulomb) battery, using energy = charge x voltage gives different values of stored energy for each of the three batteries, which are 144000, 288000 and 432000 Joules.
Is this correct?
Thanks