My textbooks says in a region where there is no charge or current Maxwell's equations read
divergence of E=0
Curl of E=-dB/dt all d are partial
Divergence of B=0
Curl of B=ue(dE/dt)
I get the math of showing that there are waves, but I don't get some of these conditions. 1st don't you...
I think that's very nice. So your saying that we make the E(h)/h->0 as h->0 rule because it actually helps us see what the derivative has to be. My proff said that its just make approximation even better then if its just E(h)->0 as h->0. I think this is what he meant and extra condition that...
Ok the explanation is good and I do realize that this linear approx. works really well with the original definition of derivative. But I am asking if we were formulating the derivative for the first time. If we were just discovering the derivative using line approximation, We have our...
When I started learning Multivariable calc first we went back and developed a new notion of derivative as a linear approximation. And what we came up with was
F(a+h)=F(a)+mh+E(h) *
where m is the derivative. Basically the function minus the line tangent to point a. However there is a...
When my textbook talks about energy it starts with kinetic and potential. The derivation goes like this. F=ma=m(dv/dt)=-mg then they split the derivative using chain rule
(dv/dt)=(dv/dy)(dy/dt) therefore since (dy/dt)=v we get F=mv(dv/dy)=-mg then they write mv dv= -mg dy...
When a car drives on a banked curve it pushes into the ground and the ground pushes back making its normal force bigger then it would be just form the perpendicular component (to the road) of gravity. And at a perfect speed, the normal force’s up component balances the gravity. My first question...