2) In free space, where A represents the magnetic potential vector and B represents the magnetic field vector. Prove that AA=-curl (B), with A is the Laplacian operator.
2) In free space, where A represents the magnetic potential vector and B represents the magnetic field vector. Prove that AA=-curl (B), with A is the Laplacian operator.
Related questions
Question
I need solution question 2
Transcribed Image Text:Exercise 3:
1) A magnetic potential vector A is given in the cylindrical coordinates system (up,uo,k) by the
relation A=5 psin (g)k. Prove that its associated magnetic field is given in cartesian coordinates
system (i, j,k) by the relation B =5i.
2) In free space, where
represents the magnetic potential vector and B represents the magnetic field
vector. Prove that AA=-curl (B), with A is the Laplacian operator.
3) Consider that the magnetic field vector is given by the relation B =-HoV Vm (Vm represents the
scalar magnetic potential), deduce that Vm verify Laplace equation.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
