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Homework Statement We have a conducting and grounded wall for z<0, so \Phi=0 for z<0. In front of this wall, we place a homogeneous charged sphere with radius R and total charge Q. The center of the sphere has a distance of a to the front of the wall...

Hi! It's possible to construct a electromagnetic field, such that \vec{F}:=\vec{E} + i\cdot \vec{B}. Now the real part is the electric and the imaginary part is the magnetic field. Then, for example, the maxwell equations take the form \nabla \cdot \vec{F} = \rho, \qquad \rho \in...

In classical mechanics you can use an euclidean space \mathbb{E}^3 for modelling the world. You choose an origin for your coordinates, let's say P_0, and an euclidean basis, that is, three linear independent vectors \left(e_1,e_2,e_3\right). Then you can reach every point (assigned with a...