Alocalized region of space has a charge density ρ(r). use the general solution of poisson's equation: ρ(r) 4tteo and the expansion of 1/ir -r'| in terms of legendre polynomials p (cos α), tr to calculate the first two terms in multipole expansion for the scalar potential in the region where the charge density is zero. the angle α is the angle between r and r'.you may assume the charge density is azimuthally symmetric about the z- axis. calculate the electric field produced by the first two terms in the multipole expansion. show that the monopole terms for v and e are independent of your choice of origin. follow the argument in sections 3.4.2 - 3.4.4. show that the dipole terms for v and e depend on your choice of origin, except in the case where the total charge in the localized region vanishes

State the right hand rule of the direction of magnetic field in a conductor carrying current

1point) a skydiver weighing 130 lb (including equipment) falls vertically downward from an altitude of 14,000 ft and opens the parachute after 20 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.85|v|0.85|v| when the parachute is closed and is of magnitude 17|v|17|v| when the parachute is open, where the velocity vv is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. find the speed of the skydiver when the parachute opens. speed is 150.6121788 ft/s find the skydiver's height when the parachute opens. height is 2338.98591 ft find the limiting velocity vlvl after the parachute opens. (think about whether this should be positive or negative.) vl=vl= 7.647 ft/s

Calculate the volume of this regular solid. what is the volume of the cone? round your answer to the nearest hundredth