show that UX V V = 0 the cure of the gradiant of any scaley vector field Vanishes
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- Find the electric field at the top point of a right circular solid cone of charge Q, uniform density. The cone has a radius a and a height h.A positively charged disk has a uniform charge per unit area σ as described (given). Sketch the electric field lines in a plane perpendicular to the plane of the disk passing through its center.What is the net outward flux of the radial field F = ⟨x, y, z⟩across the sphere of radius 2 centered at the origin?
- Find the electric field (magnitude and direction) a distance z above the center of a square loop (side a) carrying uniform line charge lambda.(a) Use Gauss's Law to find the electric field inside a uniformly charged sphere of radius R and charge density p. (b) Two spheres, each of radius R and carrying uniform charge densities +p and −p, respectively, are placed so that they partially overlap. Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value. +Charge is distributed uniformly with a density ρ throughout an infinitely long cylindrical volume ofradius R. Show that the field of this charge distribution is directed radially with respect to the cylinder.
- Two equal charges are located at (a,0,0) with a>0. Consider that the cube length 2L, L>a with its center at (0,0,0). Will the total flux leaving all six surfaces be equal or different?consider the parallelepiped with sides: A=3i+2j+k، B=i+j+2k, c=i+3j+3k, then 1-Find the rolume of the paralldepiped 2-Find the area of the face determined by A and B. 3-Find the angle between the vactor C and the plane containing the face determined by A and BFind the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis.
- (c) A uniform electric field is applied to allow this particle to pass through this region undeflected. Calculate the required vector electric field.I need the answer as soon as possibleAssume that a ball of charged particles has a uniformly distributed negative charge density except for a narrow radial tunnel through its center, from the surface on one side to the surface on the opposite side. Also assume that we can position a proton anywhere along the tunnel or outside the ball. Let FR be the magnitude of the electrostatic force on the proton when it is located at the ball's surface, at radius R. As a multiple of R, how far from the surface is there a point where the force magnitude is 0.65FR if we move the proton (a) away from the ball and (b) into the tunnel? (a) Number Units 1.24 This answer has no units (b) Number Units .51 This answer has no units ▼ Click if you would like to Show Work for this question: Open Show Work