Homework Statement
I want to solve the following two interlinked (simultaneous) Partial Differential Equations using FEMLAB. The equations are:
\[\frac{\partial^2 \psi}{\partial^2 x} = - \frac{q}{\epsilon} p \]
\[p \frac{\partial^2 \psi}{\partial^2 x} + \frac{\partial \psi}{\partial x} ...
Puzzle:
A man leaves for his office and takes the lift from the 60th floor to the ground floor. When he returns back he takes the same lift to the 45th floor and then walks up to the 60th floor. Why?
Points to remember:
1. He is not a health freak
2. He does not have any relatives or...
We know that energy stored in capacitor=
\int \frac{q}{C} dq = \frac{q^2}{2C} = qV/2
But work done by battery = qV
Where does the other qV/2 go ?
Assume NO resistance in circuit
The potential of the battery does not change with time
another method
You may also use the differential form of Gauss law for cylindrically radial field. It goes something like this:
\frac{d(E.r)}{dr} = \frac{\rho r}{\epsilon_0}
Make \rho as a function or r and integrate over proper limits.
gauss law problem
:frown: \mbox{i m sorry i forgot to divide by } \epsilon_0\mbox{. Divide the solutions by} \epsilon_0 \mbox{. I feel, that is the correct solution.}
There is a 64 square chessboard. A pawn is at some position on the checkboard. There are only two players on the checkboard: the pawn and king of opposing team. Imagine diagonals drawn from the pawn to the last rank on the chess board. Imagine a square formed by the ends of the diagonals. Prove...
Solution to the Gauss law problem:
Volume charge density= Ar
a -> radius of cylinder
For r > a
Let the radius of cylindrical Gaussian surface be r
E . 2. pi. r. l = integral {( 2*pi.A.l.r. dr / e0 ), 0 , a}
[integral { (), ,} denotes-- () - integral funciton then the limits]...
hello to all
here is a problem i designed myself. i don't know whether it can be solved.
Question:
Consider NaCl lattice of edge length 'x' m. Let Na+ carry +1 C and each Cl- carry -1 charge. Calculate Poisson's ratio of NaCl crystal. Assume no heat loss when deformation takes place...
1) First solution submitted by gokul43201 is correct and is a direct consequence of prime factorization theorem.
2) I m sorry I forgot to mention that the number is not divisible by primes greater than certain prime say 5.
According to factorization theorem
every number can be...
Questions:
1) How many zeros are there at the end of 1994!
[where n ! stands for n factorial]
2) Prove that if x1, x2, ..., x100 are distinct natural odd numbers
1/x1 + 1/x2 + ... + 1/x100 < 2
3) Prove that if 'p' is a prime number then coefficients of the terms...
My name is Unmesh Kamle. I have just passed high school and began reading about Potential wells and about electrons trapped inside them (from Resnick Halliday Krane). I m also reading about Supersymmetry. I m new member on this discussion forum. Could somebody reply to this message so that I can...