Chapter 2: Problem 2
Point charges of \(1 \mathrm{nC}\) and \(-2 \mathrm{nC}\) are located at \((0,0,0)\) and \((1,1,1)\), respectively, in free space. Determine the vector force acting on each charge.
Chapter 2: Problem 2
Point charges of \(1 \mathrm{nC}\) and \(-2 \mathrm{nC}\) are located at \((0,0,0)\) and \((1,1,1)\), respectively, in free space. Determine the vector force acting on each charge.
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Get started for freeA uniform volume charge density of \(0.2 \mu \mathrm{C} / \mathrm{m}^{3}\) is
present throughout the spherical shell extending from \(r=3 \mathrm{~cm}\) to
\(r=5 \mathrm{~cm}\). If \(\rho_{v}=0\) elsewhere, find \((a)\) the total charge
present throughout the shell, and \((b) r_{1}\) if half the total charge is
located in the region \(3 \mathrm{~cm}
Within a region of free space, charge density is given as \(\rho_{v}=\frac{\rho_{v} r \cos \theta}{a} \mathrm{C} / \mathrm{m}^{3}\), where \(\rho_{0}\) and \(a\) are constants. Find the total charge lying within \((a)\) the sphere, \(r \leq a ;(b)\) the cone, \(r \leq a, 0 \leq \theta \leq 0.1 \pi ;(c)\) the region, \(r \leq a\) \(0 \leq \theta \leq 0.1 \pi, 0 \leq \phi \leq 0.2 \pi\)
Two identical uniform line charges, with \(\rho_{l}=75 \mathrm{nC} / \mathrm{m}\), are located in free space at \(x=0, y=\pm 0.4 \mathrm{~m}\). What force per unit length does each line charge exert on the other?
A uniform line charge of \(2 \mu \mathrm{C} / \mathrm{m}\) is located on the \(z\) axis. Find \(\mathbf{E}\) in rectangular coordinates at \(P(1,2,3)\) if the charge exists from \((a)-\infty<\) \(z<\infty ;(b)-4 \leq z \leq 4\).
A charge of \(-1 \mathrm{nC}\) is located at the origin in free space. What charge must be located at \((2,0,0)\) to cause \(E_{x}\) to be zero at \((3,1,1)\) ?
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