4.20 In a certain region, the electric field is given by D = 2p(z + 1)cos o a, – p(z + 1)sin o as + p² cos o a, µC/m? (a) Find the charge density. (b) Calculate the total charge enclosed by the volume 0 < p < 2, 0 < ¢ < a/2, 0 < z< 4. (c) Confirm Gauss's law by finding the net flux through the surface of the volume in (b).

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4.20 In a certain region, the electric field is given by
D = 2p(z + 1)cos o a, – p(z + 1)sin o as + p² cos o a̟ µC/m?
(a) Find the charge density.
(b) Calculate the total charge enclosed by the volume 0 <p < 2, 0 < ¢ < a/2,
0 < z< 4.
(c) Confirm Gauss's law by finding the net flux through the surface of the volume in (b).
Transcribed Image Text:4.20 In a certain region, the electric field is given by D = 2p(z + 1)cos o a, – p(z + 1)sin o as + p² cos o a̟ µC/m? (a) Find the charge density. (b) Calculate the total charge enclosed by the volume 0 <p < 2, 0 < ¢ < a/2, 0 < z< 4. (c) Confirm Gauss's law by finding the net flux through the surface of the volume in (b).
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