I read interesting article regarding Halbach arrays and magnetic levitation (see [PLAIN]www.lmco.cn/data/assets/9197.pdf[/URL]). In the article (see equation 1) the author states that the voltage generated by moving magnet over rectangular coil is
V= L*dI/dt + RI = \omega \Phi cos(\omega t)...
Homework Statement
What is the equivalent capacitance of the arrangement shown in figure. (Answer is C1)
Homework Equations
Cparallel = C1+C2+...Cn
Cseries = 1/(1/C1+1/C2+...+1/Cn)
The Attempt at a Solution
Ok, now I think I got it. I should use Stokes' theorem with F=1 (scalar). What bothered me was that I was all the time looking at the cross product in curl which is not defined for scalars. Of course the cross product is only a notation, not actual vector cross product.
Yes, sorry about the notation, it is direct copy from the book that I'm studying. t is a unit vector with components (dx/ds, dy/ds, dz/ds) so after the multiplication the integral is taken from vector (dx, dy, dz)
Homework Statement
Use Stokes' theorem to show that
\oint\ \hat{t}*ds = 0
Integration is done closed curve C and \hat{t} is a unit tangent vector to the curve C
Homework Equations
Stokes' theorem
\oint F* \hat{t}*ds = \int\int \hat{n}*curl(F)*ds
The Attempt at a Solution
Ok...
Here is the problem statement from word to word. The problem is in Div, Grad, Curl and all that, p. 55, problem II-11
a) Use Gauss' law and symmetry to find the electrostatic field as a function of position for an infinite uniform plane of charge. Let the charge lie in the yz-plane and denote...
Homework Statement
Use Gauss' law and symmetry to find electrostatic as a function of position for an infinite plane of charge. Let the charge lie in the yz-plane and denote the charge per unit area by \rho=\alpha*e^{-abs(x/b)}
Homework Equations
Q=triple integral of density
The Attempt at...
Homework Statement
The distribution of mass on the hemispherical shell z=(R2 - x2 -y2)1/2 is given by
\sigma= (\sigma0/R2)*(x2+y2)
where \sigma0 is constant. Find an expression in terms of \sigma0 and R for the total mass of the shell
Homework Equations
The mass is given by double...
Hi
Natural frequency of spring is fn = 1/(2*pi) * sqrt(k/m), where k = spring constant and m is the mass.
Ok, so I have a spiral spring which means that spring is coiled couple of times. Its spring constant is (according to Hartog's Mech. Vibrations), k = E*I/l, E=Elastic Modulus, I = Inertia...