Concentric spheres

A metal sphere of radius a is surrounded by a metal shell of inner radius b and outer radius R, as shown in the diagram below. The flux through a spherical Gaussian surface located between a and b is 0.85Q/εo and the flux through a spherical Gaussian surface just outside R is 1.15Q/εo. What is the total charge on the inner sphere? (Express your answer as a multiple of Q. For example, if the total charge is 0.2Q, then input 0.2). What is the surface charge density of the inner sphere? (Express your answer as a multiple of Q/a2.) What is the total charge on the inner surface of the outer sphere? (Express your answer as a multiple of Q.) What is the surface charge de... click for more

Physics - new charge distribution

A positive charge Q = 1600.00 C is uniformly distributed over the volume of a sphere of radius R = 5.00 m. Suppose a spherical cavity of radius R/2 is cut out of the solid sphere, the center of the cavity being a distance R/2 from the center of the original solid sphere (image attached). The cut-out material and its charge are discarded. What is the magnitude of the electric field produced by this new charge distribution at point P, a distance r = 22.50 m from the center of the original sphere?

Vector calculus

Given vector function V=x*y*xhat+2*y*z*yhat+3*z*x*zhat what is the divergence of this function and is the magnitude of the divergence greater at the origin or at (1,1,1)

Vector calculus

Given vector function V=x*y*xhat+2*y*z*yhat+3*z*x*zhat what is the curl of this function and is there more net rotation at the origin or at (1,1,1)

Vector Calaculus

Given the vector function V = {-y/[(x-4)^2+y^2)]^3/2 + (x+4)/[(x+4)^2+y^2)]^3/2}*xhat +{(x-4)/[(x-4)^2+y^2)]^3/2 + y/[(x+4)^2+y^2)]^3/2}*yhat a) What is the divergence at (-4,0) b) What is the curl at (4,0) Note: Y you might want to use maple or some other program your choice also the answer shows curl at (4,0) and divergence at (-4,0)(I think) C