Recent content by Silver2007

But the question wants to find the potential difference between 1 and 2, I just wonder if there can be a conserved electric field here? Here is the solution, personally I think it is impossible to define electric potential in this case, because the electric field is not conservative.

Because the electric field is not conservative, the question is to find the potential difference between 1 and 2. So I wonder how to find the potential difference when there is no conservative electric field here

TL;DR Summary: There is a loop of wire placed in a changing magnetic field, there will be an induced electric field here. I am wondering if there can be a potential difference here? Here is the problem: A conducting square loop symmetrically encloses a solenoid of radius ##R##. The magnetic...

In Landau's mechanics book, I saw them argue that due to the homogeneity of time and space, the isotropy of space leads to the Lagrangian function depending only on v^2. But i want a mathematical proof for the Lagrangian function independent of position q, time t and velocity vector. Homogeneity...

Why don't they cancel each other out? Can you explain in more detail? Thanks.

I used the right hand rule and found that each wire's magnetic field points out of the paper. Thus, the superposition of magnetic fields at point P will have to cancel each other.

In my opinion, the magnetic field at point P should cancel each other, because the magnetic field caused by the two wires has the same direction, like this. but the solution does not assume that the magnetic fields cancel each other out. I don't know where I'm wrong, please help me, thanks.