A vector field A=p³ exists in the region between two concentric cylindrical surfaces defined by p= 1 and p = 3, with both cylinders extending from z = 0 to z = 5. Verify that the divergence theorem is satisfied for this region by evaluating the following: a) 4.nds S b) SV. Adv. Assuming an electric field E that is the same as the vector function A in the above problem, use the point form (differential form) of Gauss's law to find the charge density at p= 2 [m].

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A vector field
A=p³
exists in the region between two concentric cylindrical surfaces defined by p= 1 and p = 3,
with both cylinders extending from z = 0 to z = 5. Verify that the divergence theorem is
satisfied for this region by evaluating the following:
a) 4.nds
S
b) SV. Adv.
Assuming an electric field E that is the same as the vector function A in the above problem,
use the point form (differential form) of Gauss's law to find the charge density at p= 2 [m].
Transcribed Image Text:A vector field A=p³ exists in the region between two concentric cylindrical surfaces defined by p= 1 and p = 3, with both cylinders extending from z = 0 to z = 5. Verify that the divergence theorem is satisfied for this region by evaluating the following: a) 4.nds S b) SV. Adv. Assuming an electric field E that is the same as the vector function A in the above problem, use the point form (differential form) of Gauss's law to find the charge density at p= 2 [m].
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