An electric flux density is given by D = DO ap, where DO is a given constant. (a) What charge density generates this field? (b) For the specified field, what total charge is contained within a cylinder of radius a and height b, where the cylinder axis is the z axis?

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An electric flux density is given by D = DO ap,
where DO is a given constant. (a) What charge
density generates this field? (b) For the
specified field, what total charge is contained
within a cylinder of radius a and height b,
where the cylinder axis is the z axis?
Step-by-step solution:
Step 1 of 3
(a)
Write the formula for the volume charge
density.
P, = V.D
Write the equation for the divergence of D in
cylindrical coordinate system.
1 ôD, ƏD,
pD
p ôp
The electric flux density is,
D= D,a,
V.D
p d0
D, = D,
???
D, = 0
D¸ = 0
Transcribed Image Text:An electric flux density is given by D = DO ap, where DO is a given constant. (a) What charge density generates this field? (b) For the specified field, what total charge is contained within a cylinder of radius a and height b, where the cylinder axis is the z axis? Step-by-step solution: Step 1 of 3 (a) Write the formula for the volume charge density. P, = V.D Write the equation for the divergence of D in cylindrical coordinate system. 1 ôD, ƏD, pD p ôp The electric flux density is, D= D,a, V.D p d0 D, = D, ??? D, = 0 D¸ = 0
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