Vector potential Definition and 164 Threads

Homework Statement What current density would produce the vector potential, A = k \hat{\phi} where k is a constant, in cylindrical coordinates? Homework Equations \nabla^2 A = -\mu_{0} J In cylindrical coordinates for radial and z symmetry \nabla^2 t = \frac{1}{s^2}...

Is it at all ethical to prove divA=0 here A is the magnetic vector potential? That is, curlA=B? Griffiths goes through a systematic development to show that we may make sure that div A=0 to make life easy.But in our exam the question appeared assuming the vector potential's form:[1/4 pi]int{J...

We know in all ordinary cases the direction of vector potential will be mimic to the direction of current.As it is evident from the expression of A=(mu/4*pi) int{J /(r-r')}dV which is valid only for finite current distributions. But in example 5.12 and in exercise 5.25 Griffiths has given...

Homework Statement I have to find the magnetic vector potential in a round coaxial cable. The internal conductor has a finite (known) conductivity. The external conductor is a perfect electrical conductor. Both the radius of the internal and the external conductors are known. I have to assume...

I don't know if this thread belongs in Introductory Physics or here, so please feel free to move it if you wish. The question is Find the vector potential a distance r from an infinite straight wire carrying a current I I know that the vector potential can be given by \frac{\mu_0}{4 \pi}...

How would one measure magnetic vector potential? I know there is a formula, but is there an experiment that proves it?

Vector V=x^2i+3xz^2j-2xzk The divergence of this vector is zero. So it can be expressed as the curl of a vector. I have to find that vector, which is also called the vector potential. But I don't know how to find it. When I have to find the scalar potential, then it is easier to equate...

\mathbf{F}(x,y,z)=(x^2+yz,y^2+zx,-2z(x+y)) Find the vector potential. A vector potential \mathbf{V} would have to satisfy \mathbf{V}_x=x^2+yz \mathbf{V}_y=y^2+zx \mathbf{V}_z=-2z(x+y) So, \mathbf{V}=\frac{x^3}{3}+xyz+M(y)+N(z) \Rightarrow \mathbf{V}_y=zx+M_y(y) \Rightarrow M_y(y)=y^2...

How to find the Vector Potential of an infinite solenoid with n turns per unit length,radius R and current I. since here current extends to infinty.. How will it be done Pls Help

The vector potential (A) in a certain region is given by A = xj-yi where i and j are unit vectors. How will the lines of force look like? What is the direction of magnetic induction B in the given region of space?

vector potential of magnetic field Hi everyone. I have a question about the vector potential of magnetic field, A: we just set the divergance(A)=0 inorder to define the potential. I just wanted to know why we are allowed to do this. Thanks a lot. Somy :smile:

How do you get the B field from the magnetic potential? I tried converting the curl into matrix format, but the corresponding matrix can't be inverted.

How do you get the B field from the magnetic potential? I tried converting the curl into matrix format, but the corresponding matrix can't be inverted.

Hi All, I've just looked at an example for calculating the vector potential for a point in the vicinity of a long straight wire. I've now got to calculate the vector potential for a point between 2 parallel straight wires carrying currents in opposite directions. How does the vector...