Chapter 2: Problem 3
Point charges of \(50 \mathrm{nC}\) each are located at \(A(1,0,0), B(-1,0,0), C(0,1,0)\), and \(D(0,-1,0)\) in free space. Find the total force on the charge at \(A\).
Chapter 2: Problem 3
Point charges of \(50 \mathrm{nC}\) each are located at \(A(1,0,0), B(-1,0,0), C(0,1,0)\), and \(D(0,-1,0)\) in free space. Find the total force on the charge at \(A\).
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Get started for freeTwo 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 line charge of uniform charge density \(\rho_{0} \mathrm{C} / \mathrm{m}\) and
of length \(\ell\) is oriented along the \(z\) axis at \(-\ell / 2
Given the surface charge density, \(\rho_{s}=2 \mu \mathrm{C} / \mathrm{m}^{2}\), existing in the region \(\rho<\) \(0.2 \mathrm{~m}, z=0\), find \(\mathbf{E}\) at \((a) P_{A}(\rho=0, z=0.5) ;(b) P_{B}(\rho=0, z=-0.5)\). Show that \((c)\) the field along the \(z\) axis reduces to that of an infinite sheet charge at small values of \(z ;(d)\) the \(z\) axis field reduces to that of a point charge at large values of \(z\).
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.
Given the electric field \(\mathbf{E}=(4 x-2 y) \mathbf{a}_{x}-(2 x+4 y) \mathbf{a}_{y}\), find \((a)\) the equation of the streamline that passes through the point \(P(2,3,-4) ;(b)\) a unit vector specifying the direction of \(\mathbf{E}\) at \(Q(3,-2,5)\).
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