Homework Statement
There are four uniformly charged rods of linear charge density \lambda and length a, arranged as a square. What is the electric potential a distance z from the center of the square and along the symmetrical axis?
The Attempt at a Solution...
Homework Statement
Evaluate (1/2ipi)* contour integral of [z^(n-1)] / [(3z^n) - 1 ] dz
Homework Equations
I would assume you would have to use the Argument Theorem since this problem comes after the proof of the argument theorem in my book.
The Attempt at a Solution
z^(n-1)...
Homework Statement
Evaluate the following integral for 0<r<1 by writing \cos\theta = \frac{1}{2}(e^{i\theta} + e^{-i\theta}) reducing the given integral to a complex integral over the unit circle.
Evaluate: \displaystyle{\frac{1}{2\pi}\int_0^{2\pi}\frac{1}{1-2r\cos\theta +...
Homework Statement
Hello everyone!
How would you solve a quadratic or nth degree congruence? For example how would I solve:
(x^2) + 2x -3 = 0 (mod 8 )
The Attempt at a Solution
I know this can be written like:
(x^2) + 2x = 3 (mod 8 ) but where would I go from here? and...
Hello. I'm having some trouble with this problem. Any help would be greatly appreciated.
Homework Statement
Consider B= (2x+3, 3x^2 +1, -5x^2 + x-1}
a) Prove that B is a basis for P_2
b) Express -x^2 - 2 as a linear combination of the elements of B
c) If t: P_2 -> P_2 is a linear...
Hello. I am currently a High School student wanting to peruse a career in astronomy. I was wondering if there are better job opportunities for astronomers and astrophysicists in countries other than the United States? and if so then which countries?
Thanks
Hello everyone! I need some help with the following problems.
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2. Use spherical coordinates to find the center of mass of the sphere of radius 7 and centered at the origin in which the density at any point is proportional to the distance of the point...