Volume charge density is given by p, = 10e-1000pe-100% C/m³. (a) Find the maximur value of p, in the region 0 ≤p ≤ 0.01 m, 0≤ <2, 0≤z ≤ 0.01 m. (b) Find the tota charge contained in the first octant, where x, y, and z are positive. (c) Find b if the tota charge found in the volume 0 ≤p ≤ b, 0≤ ≤ π/2, z ≥ 0, is half the value found in par (b) above.

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15. Volume charge density is given by Pu= 10e-1000pe-1 C/m³. (a) Find the maximum
value of p, in the region 0 ≤p ≤ 0.01 m, 0≤ <2, 0≤z ≤ 0.01 m. (b) Find the total
charge contained in the first octant, where x, y, and z are positive. (c) Find b if the total
charge found in the volume 0 ≤p ≤ b, 0≤ ≤ 1/2, z ≥ 0, is half the value found in part
(b) above.
Transcribed Image Text:- 100z 15. Volume charge density is given by Pu= 10e-1000pe-1 C/m³. (a) Find the maximum value of p, in the region 0 ≤p ≤ 0.01 m, 0≤ <2, 0≤z ≤ 0.01 m. (b) Find the total charge contained in the first octant, where x, y, and z are positive. (c) Find b if the total charge found in the volume 0 ≤p ≤ b, 0≤ ≤ 1/2, z ≥ 0, is half the value found in part (b) above.
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