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...
Hello. I need some help with the following problem.
There is a cart on an incline and a pulley with a suspended block.
Assuming that (the force of friction)= (mu)(N) symbolically show that the coefficient of rolling friction for the car moving down the incline plane with a constant...
I wrote those two equations so you could see where I got the bottom two equations with just the u and v. I wanted to be able to solve the equations:
u/sin49 = (u*sin145 + v*sin41) / sin76
v/sin55 = (u*sin145 + v*sin41) / sin76
so i could solve these problens if they did not give wou...
Hello. I was trying to find a way to solve the tension problems without using Newton’s laws. The problem says: A weight of 200 kg is supported by two wires. Find the magnitude of the tension in each wire. The angle in the top left is 35 and the angle in the top right is 41.
I used the law of...
If I measured something to be 43.49 centimeters with a meter stick and I wanted to convert that into meters, would it become 0.4349 cm or 0.43 cm??
Thanks
Ohhh. I see where you were going. Thanks. I see it not. I did not realize that the vector I found was perpendicular to the plane because of the definition of a plane. I assumed that the vector was on the plane.
Thanks:smile:
yes I know the definition of a plane. Yes I have seen the equation of a plane before in the form a(x-x1) + b(y-y1) + c(z-z1) = 0.
Yes I know that the sqrt(26) in the answer is the magnitude of v (v = 1i – 3j + 4k ). And i think I know how to change the magnitude of a vector (if you mean...
Hello. I need some help with the following problem:
Find the component of u if u is perpendicular to the plane x- 3y + 4z =0 and the magnitude of u is 3.
My work:
Some vector v is on the plane
v = 1i – 3j + 4k
so then the dot product of u and v = 0
Now I’m stuck and don’t...
electrostatics, Gauss’s Law, and Potential
Hello. I need some help with the following problems.
4. A solid spherical container has a radius of 15 cm. The electric field 30 cm from the center of this sphere has a magnitude of 800 N/C. What is the surface charge density (sigma) on the sphere...
Hello. Can someone please check my work and help me with these problems. I'm sorry it is so long.
Predict and balance the following organic equation.
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1. Ethanol (ethyl alcohol) is burned completely in air
C2H5OH + 3O2 >...