Recent content by jajay504

Homework Statement Consider a circular ring of wire of radius a that resides in the x-y plane through the origin. The center of the ring coincides with the origin and you can regard the thickness of the wire to be infinitesimal. a. Given that a current I flows in the ring, find an...

Homework Statement Given the magnetic field B= α*x*y x^ + β*y^2 y^. What is the relationship between α and β. Find the current density J. Homework Equations I know that the relevant equations are Δ dot B = 0, Δ x B = μJ, Δ dot A = 0, Δ x A = B The Attempt at a Solution I know...

1. Homework Statement 1. Homework Statement I have concentric spheres with mixed dielectrics. There is an air-gap between the spheres which consist of a permittivity ε0. The radius' are a, b and c and the permittivities of the dielectric portions are ε1 and ε2. An image is attached! What...

Homework Statement I have concentric spheres with mixed dielectrics. There is an air-gap between the spheres which consist of a permittivity ε0. The radius' are a, b and c and the permittivities of the dielectric portions are ε1 and ε2. An image is attached! What are the potentials in the 4...

Homework Statement If one were to consider a parallel plate capacitor with a distance d between them connected to a battery and a vacuum space between the plates. Will the integral form of Gauss' Law to any closed surface between the plates that does not cross either plate hold? If not, what...

Sorry for that. This one. I think I may have over thought it a bit.

Flux= EA cos(theta)= E.A I got flux = q/4e0 I don't have experience using mathematica at all

Sorry for that! I put down the work I had

Hey! Sorry for that... I did some work but I got stuck. I used divergence E = p/e0 a.) div E = (-a/r^2 - 2/r^3) * exp(-a*r) = p/e0. So I know what p is. b.) Then I tried to integrate over p(rho) to get q_tot q_tot = Integral [pdV] I got --> exp(-a*r)/r^2 - 2*exp(-a*r)/r^3 = q_tot...

Homework Statement The Electric field E produced by an unknown charge distribution p (rho) is E(r)= (constant)*((exp(-ar))/r^2)*(r_hat). a.) Use Gauss' law in differential for to determine p(rho) b.) Find the total charge q_tot by directly integrating p(rho), and show that it is 0. c.)...

Homework Statement A point charge q1 is located on the y-axis at r1= a (Y_hat) and another q2 located at the mirror point r2= -a (Y_hat). The charges are not necessarily the same sign or magnitude. Now consider the circular surface S of radius a contained in the x-z plane through the origin...

Homework Statement Attached PDF. Problem # 2. Homework Equations Used parity selection rule, Assumed Russell-Saunders Coupling The Attempt at a Solution I only understand the electric dipole allowed transitions from reading. I don't actually understand how they work. For the...