Why does a Faraday Cage work? (or more generally, why does the inside of a conducting shell have no electric field if there are charges placed outside it?)
I understand that this is the result of polarisation, but why does the polarisation happen to exactly cancel out the field? Could there be...
Homework Statement
An uncharged, unconductive, hollow sphere with a radius R of 10.0 cm, surrounds an electric charge of 10.0 μC, which is found at the beginning of the axises, in a standard cartesian system.
Parallel to the z axis, a small drill with a radius r = 1.00 mm opens a hole in the...
I'm confused as to how this expression E= (δ/εo) can't be used to calculate the electric field of a perfectly flat part of a surface even farther from just above the surface.If you just extend the same cylindrical Gaussian surface used for this proof, wouldn't the field stay the same no matter...
I've got confused over a topic in my physics textbook (Fundamentals of Physics).
The textbook says if a charged particle is enclosed by a shell of uniform charge, there is no electrostatic force on the particle from the shell. I don't firmly get this, as the book uses a confusing reasoning for...
Knowing that Gauss' law states that the closed integral of e * dA = q(enclosed)/e naut, how would you find exactly what A is in any given problem?
I know it varies from situation to situation depending on the geometry of the charge. For instance, I know that for an infinite wire/line of...
I'm confused with the electric field inside a sphere.
The book said that E=keQr/a^3
While one of the properities of electrostatic equilibrium mentioned that the E-field is zero everywhere inside the conductor.
Are there any exceptional cases?
Thanks in advance.
Firstly I appologize, that I am not native english speaker and I dont study physics(but cybernetics we are getting just some general knowledge about physics), but hopeffuly I will write this right.
Homework Statement
We know that inside of a conductive object is protected from influence of...
Homework Statement
Lets say, there is a non-uniform charge distribution, given as in a spherical shell that has a cavity with radius a and the radius b to the outer surface. I am wondering if the field is discontinuous just on the surface of this sphere.
Homework Equations...
Homework Statement
In the figure a nonconducting spherical shell of inner radius a = 2.07 cm and outer radius b = 2.51 cm has (within its thickness) a positive volume charge density ρ = A/r, where A is a constant and r is the distance from the center of the shell. In addition, a small ball of...
Homework Statement
Hello,
A 3.60cm x 4.50cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E=(80.0i + 50k) N/C ?
Homework Equations
Φ = E * A =EAcos(θ)
The Attempt at a Solution
My attempt:
First convert the rectangle units from cm to m.
4.50cm =...
Hello,
The problem:
A 3.60cm x 4.50cm rectangle lies in the xy-plane. What is the electric flux through the rectangle if E=(80.0i + 50k) N/C ?
My attempt:
First convert the rectangle units from cm to m.
4.50cm = 0.045m
3.60cm = 0.036m
Find the area of the rectangle.
A = 0.036m x 0.045m =...
Homework Statement
I have attached the problem
Homework Equations
E*A = Qenc/ E0
The Attempt at a Solution
At the moment I am looking at the problem more conceptually and seeing what is happening at each point and I wanted to know If I was on the right track.
r<a
As all charge would...
Why doesn't the flux through a Gaussian surface change, when the shape is changed? (while keeping the net charge inside it the same)
Flux is the dot product of electric field and surface area, so wouldn't it change if surface area is changed?
I'm studing Gauss law for gravitational field flux for a mass that has spherical symmetry.
Maybe it is an obvious question but what are exactly the propreties of a spherical simmetric body?
Firstly does this imply that the body in question must be a sphere?
Secondly is it correct to...
Homework Statement
The figure shows cross-sections through two large, parallel, nonconducting sheets with identical distributions of positive charge with surface charge density σ = 1.06 × 10-22 C/m2. What is the y component of the electric field at points (a) above the sheets, (b) between them...
Homework Statement
Consider two balls of equal radii and masses but opposite charges, distributed uniformly over their volumes. Initially, the balls are at rest and far away from one another. Due to the Coulomb attraction, the balls start moving towards each other. The balls can be treated as...
In my physics textbook, I see Gauss' Law as https://upload.wikimedia.org/math/0/3/5/035b153014908c0431f00b5ddb60c999.png\ointE [Broken] dA but in other places I see it as...
I've been given a copy of my friend's midterm exam from this same class from last term, and decided to take a crack at it to help study. One question type in particular really messes me up and it looks like the following. How would I go about solving these in the future?
A solid insulating...
Homework Statement
A slab of insulating material has thickness 2d and is oriented so that its faces are parallel to the yz-plane and given by the planes x=d and x=−d. The y- and z-dimensions of the slab are very large compared to d and may be treated as essentially infinite. Let the charge...
If F(x,y,z) is continuous and for all (x,y,z), show that R3 dot F dV = 0
I have been working on this problem all day, and I'm honestly not sure how to proceed. The hint given on this problem is, "Take Br to be a ball of radius r centered at the origin, apply divergence theorem, and let the...
I recently studied Gauss' theorum according to which there is no electric field inside a closed conductor. But an isolated chage emits field lines in all possible directions. So why is it that there are no electric lines from the surface of the closed conductor inside it?
This is my first time using a website like this, so I sincerely apologize if I'm posting in the wrong spot, I'm just in a bind/frustrated with this seemingly easy problem.
Homework Statement
What is the electric potential at a point 0.80 m away from a point charge of 3.5m C?
Homework...
When I learned Integrals in Calc III, the formula looked like this
∫∫ F(r(s,t))⋅(rs x rt)*dA
but in physics for Gauss's law it is
∫∫E⋅nhat dA
How are these the same basic formula? I know that nhat is a unit vector, so it is n/|n|, but in the actual equation, it is a dot between the cross...