Homework Statement
The problem just states to find the Laplace Transform of cos(kt) from its power series expansion, instead of using the formula for the transform of a periodic function.Homework Equations
Equation for Laplace transform of a function f(t) ->\int(e^{-st}f(t))dt
Power Series...
(sorry for all the greek letters in superscript, I don't know why it's doing that...)
I am doing this same question except the sphere only carries a uniform surface charge \sigma. I then obtain the final answer
4/3\piR\omega\sigma
Which is equivalent to
Volume of Sphere x...
Homework Statement
Show that the magnetic field of a dipole can be written in coordinate-free form: B_dip (r)=(μ_o/(4πr^3 ))[3(m*r ̂ ) r ̂-m]
Homework Equations
Adip(r)= (μ_o/(4πr^2))(m*sin(theta))...