(b)(i) The center of a dielectric spherical shell is located at (0,2,0) with inner radius a = 1 cm and outer radius b = 3 cm. The volume charge density of the shell is pv = 2n C/m3. In addition, an infinite long wire with line charge density pl = 5n C/m is on the x-y plane at y = -3. With an aid of diagram, find the electric field intensity, E due to the infinitely long wire at point (0, 0, 0). (b)(ii) Find the electric field intensity, E at (0, 0, 0) due to the spherical shell for radius a < R < b. (b)(iii)Determine the total electric field intensity, E at (0, 0, 0) caused by the spherical shell and the infinite long wire.
(b)(i) The center of a dielectric spherical shell is located at (0,2,0) with inner radius a = 1 cm and outer radius b = 3 cm. The volume charge density of the shell is pv = 2n C/m3. In addition, an infinite long wire with line charge density pl = 5n C/m is on the x-y plane at y = -3. With an aid of diagram, find the electric field intensity, E due to the infinitely long wire at point (0, 0, 0). (b)(ii) Find the electric field intensity, E at (0, 0, 0) due to the spherical shell for radius a < R < b. (b)(iii)Determine the total electric field intensity, E at (0, 0, 0) caused by the spherical shell and the infinite long wire.
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