Aspherical shell, of radius r, carrying a uniform surface charge σ, is set spinning at angular velocity ω (a) find the vector potential it produces at point r (both r r and r2 r). [20 points) (b) find the magnetic field inside this spherical shell. [10 points] (c) find the magnetic field outside this spherical shell.

Consider a u-tube whose arms are open to the atmosphere. now equal volumes of water and light oil (ρ = 49.3 lbm/ft3) are poured from different arms. a person blows from the oil side of the u-tube until the contact surface of the two fluids moves to the bottom of the u-tube, and therefore, the liquid levels in the two arms are the same. if the fluid height in each arm is 30 in, determine the gage pressure exerted by the person on the oil by blowing.