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(3) Two charges with opposite sign, but the same magnitude of charge (q = 46.8nC) are located so that they have a separation of 9.29am.

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(3) Two charges with opposite sign, but the same magnitude of charge (q = 46.8nC) are located so that they have a separation of 9.29am. The positive charge is on the +x-axis and the negative charge is on the -x-axis such that their midpoint is the origin. The charges are attached to one another so that they cannot move independently. (a) If we consider a eld point that is 2cm away from the origin, can we treat this as a dipole er must we consider it as separate charges? If we consider a eld point that is 271m from the Origin, can we treat this as a dipole or must we consider it as separate charges? [4pts] (b) Two spheres are placed on the x-axis a distance of lam from the origin. A positively charged sphere is placed on the +x-axis while a neutral sphere is placed on the -x-axis. Is the net force on each of these spheres from the charges attractive, repulsive, or neither? [4pts] (c) The spheres from (b) are removed. An external electric eld E = 165 %E + 819%;; is applied to these point charges. What is the torque and the potential energy from these charges interacting with this electric eld? [8pts] (d) Maintaining the eld from part (c), a cube with side length L = 48.6mm with the faces oriented so that the axes emerge perpendicular to each of the faces is placed centered at the origin. What is the ux through the entire cube from the electric eld and the ux through the entire cube from the point charges? [4pts]

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