Question: 1. (50 points) An electron is launched at a = 30 angle, with a speed of 2.5106 m/s from the positive plate of a

1. (50 points) An electron is launched at a = 30 angle,with a speed of 2.5106 m/s from the positive plate of a

1. (50 points) An electron is launched at a = 30 angle, with a speed of 2.5106 m/s from the positive plate of a parallel-plate capacitor (see the figure below). The distance between the plates of the capacitor is d, and each capacitor has an area A 4 cm. The electron lands 10 cm away. = e D + 10 cm Figure 1: Diagram of the situation. a. (15 points) What is the electric field strength inside the capacitor? b. (10 points) What is the minimum possible plate separation distance? c. (10 points) Now consider placing a dipole between the plates of the same parallel plate capacitor. If the dipole moment points along the initial trajectory of the electron in part (a) what is the magnitude of the torque on the dipole? Next Page d. (15 points) What is the electric potential energy associated with the dipole in the orientation specified in part (c)? How much energy is required to rotate the dipole from this initial orientation to an orientation that is anti-parallel to the initial trajectory of the electron in part (a)?

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