Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle θ with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and − q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center. What is the net force F⃗ net that the dipole experiences due to the electric field? Express F⃗ net in terms of the given variables and the unit vectors i^, j^. What is τcm(θ), the magnitude of the torque that the electric field exerts about the center of mass of the dipole? Express the magnitude of the total torque in terms of the given quantities.
(Figure 1)Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle θ with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and − q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center.
What is the net force F⃗ net that the dipole experiences due to the electric field?
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