I'm interested in the following general question: Assume x,y,z is an axes system, and that the y-z plane is occupied by a conductive plate at a known potential V with respect to the earth. Now, a conductive material M of neutral global electrical charge is placed at some distance of the plate...
Homework Statement
An electrostatic field ## \mathbf{E}## in a particular region is expressed in cylindrical coordinates ## ( r, \theta, z)## as
$$ \mathbf{E} = \frac{\sin{\theta}}{r^{2}} \mathbf{e}_{r} - \frac{\cos{\theta}}{r^{2}} \mathbf{e}_{\theta} $$
Where ##\mathbf{e}_{r}##...
Please refer to the image attached. So, my doubt is:
While calculating dW in the derivation, we know this work is being done by external force, because only then the unit positive charge can be made to move towards the charge +Q. So dW should be equal to Fext.dx but here in the book it is shown...
I understand that if electric field at any point is 0, it implies that potential is constant not necessarily 0. But what if the potential at a point is 0? Does it imply that electric field is 0? Me and my friend had an argument and I am in the favour of electric field not being 0. Do I win guys...
Homework Statement
To derive Potential Energy for dipole p in Electric Field E.
2. Homework Equations
Potential Energy is the work done by the external agent in turning the angle of the dipole from the U=0 position to another position against the influence of the electric field applied...
Hello all, I'm going to investigate the properties water when frozen in a strong electric field for a product I'm designing.
A strong field will align the polar water molecules, and then they will freeze. I'm planning to create this strong field with a car battery attached to two parallel...
Homework Statement
Q: Two conducting balls of radius 0.1 m are situated 3m apart in free space. Electrons are transferred from one ball to another at a rate of 10^13 per second. How long does it take for a p.d of 100 kv to develop?
Homework Equations
where ε0 is the electric constant...
if we have a solid conducting sphere with charges around it, then the elctric field inside the sphere is zero otherwise the electrons of the sphere would not be in equilibrium as there would be a net force acting on it. however if its a hollow sphere then why does the electric field inside the...
Suppose the hydrogen atom consists of a positive point charge (+e), located in the center of the atom, which is surrounded by a negative charge (-e), distributed in the space around it.
The space distribution of the negative charge changes according to the law p=Ce^(−2r/R), where C is a...
Homework Statement
Consider potential field V(ρ, φ, z) = V_0/ρ in free space and cylindrical coordinates.
Calculate electrostatic potential energy stored in half cylindrical shell defined by a≤ρ≤b, 0≤φ≤π and 0≤z≤h.
Homework Equations
W_E=½∫∫∫ρ_vVdV
The Attempt at a Solution
I have no idea...
After solving this problem I ended up with--(2a is the length of the wire)(integral limit is from -a to +a)
(x is the ⊥ distance from centre of the wire to a point P where we have to find the net field )
E[SUBx]= (1/4Πε)*(Q/2a)∫x.dy/(x^2+y^2)^3/2
P.S- sorry, I'm not able to upload the image of...
Homework Statement
Three very long (theoretically infinite long) hollow cylindrical conductors, with radius a,b,c (c>b>a) are in vacuum. Inner and central conductor are charged, and outer conductor is grounded. Potentials of inner and central conductors with reference point relative to outer...