- #1
alle.fabbri
- 32
- 0
Hi, I have this problem:
In empty space there is an infinite cylinder, with its axis parallel to z axis and radius a, filled with an eletric field of equation
[tex]\vec{E}(t) = E_0 e^{\beta t} \hat{z}[/tex]
Now I put a rectangular wire on the plane yz out of the cylinder of side l and b (l lies on the y axis) and the question is: which is the current on the wire?
I try to attack the problem in the straightforward way. So I try to solve Maxwell's fourth equation
[tex]\vec{\nabla} \times \vec{B} = \frac{1}{c} \partial_t \vec{E}[/tex]
and initially I thought that I had to compute the flux through the wire of the varying magnetic field I get...but I realize that this is impossible because this equation is only valid inside the cylinder, where I have a varying electric field, and not outside where there is only empty space!
Could anyone help...please?!?
In empty space there is an infinite cylinder, with its axis parallel to z axis and radius a, filled with an eletric field of equation
[tex]\vec{E}(t) = E_0 e^{\beta t} \hat{z}[/tex]
Now I put a rectangular wire on the plane yz out of the cylinder of side l and b (l lies on the y axis) and the question is: which is the current on the wire?
I try to attack the problem in the straightforward way. So I try to solve Maxwell's fourth equation
[tex]\vec{\nabla} \times \vec{B} = \frac{1}{c} \partial_t \vec{E}[/tex]
and initially I thought that I had to compute the flux through the wire of the varying magnetic field I get...but I realize that this is impossible because this equation is only valid inside the cylinder, where I have a varying electric field, and not outside where there is only empty space!
Could anyone help...please?!?