Homework Statement
If the distance between a neutral atom and a point charge is doubled, by what factor does the force on the atom by the point charge change? (new force / old force)
2. The attempt at a solution
Wouldn't the answer just be (new force / old force) = 0 since there is no...
Homework Statement
I am learning Christoffel symbols and I want to know how to compute a surface parameterized by ##g(u,v) = (u\cos v, u \sin v, u)## by using the definition.
Homework Equations
Christoffel symbols
The Attempt at a Solution
Is this website...
Homework Statement
A closed cylinder consists of two circular end caps and a curved side. A negatively charged particle is placed outside the left end of the cylinder, on its axis. Compare the flux through the left end of the cylinder with that through the right.
2. The attempt at a...
My mistake, its suppose to be 633/0.0665 = 9.5keV and it is the correct answer.
And I made a stupid mistake. I thought they said half way between the plates which is why I divided it by 2. Thank you very much! I know what to do now.
Homework Statement
Two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts.
a. What is the electric field strength between them, if the potential 6.65 cm from the zero volt plate (and 3.35 cm from the other) is 633 V?
b. What is the voltage...
Thanks for the clarification. I am still having trouble with this problem.
I know I must determine a radius r such that \{(x_1, y_2)\in \mathbb{R}^2: \sqrt{|x-y|^2 +|x_1-y_1|^2}<r\}
but how can I find such an r?
What I did was:
I located the region of the plane where x\gt y then I place a...
Homework Statement
Show that the set of \mathbb{R}^2 given by S = \{(x, y) \in \mathbb{R}^2 : x > y\} is open.
Homework Equations
The Attempt at a Solution
Why is S the half plane that has boundary given by the line y = -x?
Homework Statement
The charged balloon expands as it is blown up, increasing in size.
Here is a link. It is question 15.
http://cf.linnbenton.edu/mathsci/physci/rajabza/upload/wkbk_solutions_27.pdf
Homework Equations
The Attempt at a Solution
Is that answer correct...
Homework Statement
Show that any group of order 4 or less is abelian
2. The attempt at a solution
I came across this hint.
Since its of order 4 we have {e,a,b,c}, where e = identity.
The elements a, b, c must have order 2 or 4. There are two possibilities.
1. a, b, c all have order 2.
2...