Chapter 3: Problem 23
(a) A point charge \(Q\) lies at the origin. Show that div \(\mathbf{D}\) is zero
everywhere except at the origin. (b) Replace the point charge with a uniform
volume charge density \(\rho_{v 0}\) for \(0
Chapter 3: Problem 23
(a) A point charge \(Q\) lies at the origin. Show that div \(\mathbf{D}\) is zero
everywhere except at the origin. (b) Replace the point charge with a uniform
volume charge density \(\rho_{v 0}\) for \(0
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An infinitely long cylindrical dielectric of radius \(b\) contains charge within its volume of density \(\rho_{v}=a \rho^{2}\), where \(a\) is a constant. Find the electric field strength, \(\mathbf{E}\), both inside and outside the cylinder.
Volume charge density is located in free space as \(\rho_{v}=2 e^{-1000 r}
\mathrm{nC} / \mathrm{m}^{3}\) for \(0
Let \(\mathbf{D}=5.00 r^{2} \mathbf{a}_{r} \mathrm{mC} / \mathrm{m}^{2}\) for \(r \leq 0.08 \mathrm{~m}\) and \(\mathbf{D}=0.205 \mathrm{a}_{r} / r^{2} \mu \mathrm{C} / \mathrm{m}^{2}\) for \(r \geq 0.08 \mathrm{~m} .(a)\) Find \(\rho_{v}\) for \(r=0.06 \mathrm{~m} .(b)\) Find \(\rho_{v}\) for \(r=0.1 \mathrm{~m} .(c)\) What surface charge density could be located at \(r=0.08 \mathrm{~m}\) to cause \(\mathbf{D}=0\) for \(r>0.08 \mathrm{~m} ?\)
A uniform volume charge density of \(80 \mu \mathrm{C} / \mathrm{m}^{3}\) is
present throughout the region \(8 \mathrm{~mm}
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