Our text claims that a charged particle exerts a net attractive force on an electric dipole. The purpose of this exercise is to investigate this phenomenon. Suppose a permanent dipole is situated at the origin of the r-z plane and consists of charges + and − separated by a fixed distance . The dipole is situated such that + lies at − 2 on the r-axis and − lies at 2 on the r-axis. A charge + is situated at distance r from the center of the dipole on the positive raxis. We’ll assume, as is usually the case for electric dipoles, that ≪ for this configuration. a. (1 point) Draw a pictorial representation of this physical situation and label any quantities of interest. b. (2 points) Write an expression for the net force exerted on the dipole by charge +. c. (1 point) Is this force toward + or away from + Explain. d. (3 points) Use the binomial expansion as an approximation tool to understand the effect that ≪ has on the physical situation. The binomial approximation to first order is wr
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