nc = 13 1. Find the charge in the volume defined by 1<r<2m, in the spherical...
3. a) Find the charge in the volume defined by -1 5xs1 m,-1 sys 1 m and -1 52s 1m, if volume charge density is: pv = 2.45xy + y’: uC/m3 (12 Marks) b) In part (a), what changes occur for the limits -2 sys 2m? (8 Marks)
(3) Let a > 0. In spherical coordinates, a surface is defined by r = 2a cos φ for 0 Find the volume of the solid enclosed by the surface, as a function of a. φ S (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2a cos φ for 0 Find the volume of the solid enclosed by the surface, as a function of a. φ S
In free space, consider the volume charge density ρ,-100 μCm3 present throughout the region 5 mm<r<10 mm and pv-0 for 0<r<5 mm. (a) Find the total charge inside the spherical surfacer 10 mm. in spherical coordinates (b) Find D, at r = 10 mm, Dr(10mm) = 2 (c) If there is no charge for r >10 mm, find D, at-50 mm Dr (50 mm)-- 2 47(r)2
The magnetic field intensity in all of space is given in terms of spherical coordinates: (1 point) The magnetic field intensity in all of space is given in terms of spherical coordinates: A/m. sin θ Use this knowledge in both parts below. (a) Find the current density (in spherical coordinates) at the point P, whose Cartesian coordinates are (z,ys) = (85,-15,-2). ANSWER: At P, J a+ ag+ ap A/m2 (b) Find the net current, I,flowing through the conical surface S...
Q7. A charge distribution in free space has volume charge density r(4 cos’e) nC/mº for Osrs 20 m and zero otherwise. Determine the electric filed intensity at r = 15m.
Consider a spherical shell with radius R and surface charge density: The electric field is given by: if r<R E, 0 if r > R 0 (a) Find the energy stored in the field by: (b) Find the energy stored in the field by: Jall space And compare the result with part (a)
a) Find electric field at origin (0,0) due to a negative charge q-2 nC located at position (0, 3m) and a nc charged spherical shell with diameter of 2 m, centered at (4m, 0), carrying positive charge q2 +7.1 If charged particle with mass m-2 mg and carrying charge Q=-4.47 μС ¡s placed at the origin and released, what will be the magnitude and direction of its initial instantaneous acceleration? b) y(m) 42 x(m) -2 1 -1 -2 a) Find...
find the total electric flux leaving the spherical surface r = 2.5 m given the charge configuration a line charge rho_l = 1/(z² + 1) nC/m on the z axis and A finite line charge of length L carrying uniform line charge density rho_l is coincident with the z axis.Determine V in the plane bisecting the line charge.
Three concentric spherical shells r=1, r=2, and r=3 m, respectively, have charge distributions 1, -2, and 4 uC/m^2. Find E at r=1.5 and 2.5 m. Detailed explanation please
The figure shows a spherical shell with uniform volume charge density rho = 1.99 nC/m^3, inner radius a = 9.50 cm, and outer radius b = 2.9a. what is the magnitude of the electric field at radial distances (a) r = 0: (b) r = a/2.00, (c) r = a, (d) r = 1.50a, (e) r = b, and (f) r = 3.00b? (a) Number Units (b) Number units (c) Number units (d) Number Units (e) Number units (f) Number...