3) Consider a gaseous system of N noninteracting, diatomic molecules, each having an electric dipole moment µ, placed in an external electric field of strength E. The energy of such a molecule will be given by the kinetic energy of rotation as well as translation plus the potential energy of orientation in the applied field: p? , SPe? 2 2 Po - µEcos0, 2m 21 21sin20 where I is the moment of inertia of the molecule. Study the thermodynamics of this system, including the electric polarization and the dielectric constant. Assume that (i) the system is a classical one and (ii) |µE| « kgT.

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sta ✓ • È = Ex (x, y) = 1/2 7 + E₂ (x,y) ŷ 3x What is the charge distribution p(x,y)?

In an inkjet printer, letters and images are created by squirting drops of ink horizontally at a sheet of paper from a rapidly moving nozzle. The pattern on the paper is controlled by an electrostatic valve that determines at each nozzle position whether ink is squirted onto the paper or not. Figure 9 Do 163 Ē T 1 of 1 The ink drops have a mass m = 1.00×10-11 kg each and leave the nozzle and travel horizontally toward the paper at velocity = 24.0 m/s. The drops pass through a charging unit that gives each drop a positive charge q by causing it to lose some electrons. The drops then pass between parallel deflecting plates of length Do = 1.50 cm, where there is a uniform vertical electric field with magnitude E= 8.15x104 N/C. (Figure 1) Part A If a drop is to be deflected a distance d = 0.250 mm by the time it reaches the end of the deflection plate, what magnitude of charge q must be given to the drop? Assume that the density of the ink drop is 1000 kg/m³, and ignore the effects of…