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1. Two adjacent parallel plate capacitors are used to deflect charged particles as schematically displayed in Fig. 1. The relevant geometrical dimensions are shown in the figure. The lower capacitor plates are grounded (zero potential) while the upper plates can be maintained at arbitrary controlling potentials Vị and V2, which are to be found in this problem given the following information. A positively charged particle of charge q and mass m enters the system at point A moving horizontally with speed vị. After executing some trajectory, the particle exits the system at point B, which has the same vertical position as point A. The velocity of the particle at point B is, however, not horizontal: the particle is deflected downward as shown and its speed is found to be equal to vf. Find the potentials V1 and V2, including their signs, used for the deflection? Gravity can be neglected. V1 V2. B h

1. Two adjacent parallel plate capacitors are used to deflect charged particles as schematically displayed in Fig. 1. The relevant geometrical dimensions are shown in the figure. The lower capacitor plates are grounded (zero potential) while the upper plates can be maintained at arbitrary controlling potentials Vị and V2, which are to be found in this problem given the following information. A positively charged particle of charge q and mass m enters the system at point A moving horizontally with speed vị. After executing some trajectory, the particle exits the system at point B, which has the same vertical position as point A. The velocity of the particle at point B is, however, not horizontal: the particle is deflected downward as shown and its speed is found to be equal to vf. Find the potentials V1 and V2, including their signs, used for the deflection? Gravity can be neglected. V1 V2. B h

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1. Two adjacent parallel plate capacitors are used to deflect charged particles as schematically displayed in Fig. 1. The relevant geometrical dimensions are shown in the figure. The lower capacitor plates are grounded (zero potential) while the upper plates can be maintained at arbitrary controlling potentials Vị and V2, which are to be found in this problem given the following information. A positively charged particle of charge q and mass m enters the system at point A moving horizontally with speed vị. After executing some trajectory, the particle exits the system at point B, which has the same vertical position as point A. The velocity of the particle at point B is, however, not horizontal: the particle is deflected downward as shown and its speed is found to be equal to vf. Find the potentials V1 and V2, including their signs, used for the deflection? Gravity can be neglected. V1 V2. B h
Transcribed Image Text:1. Two adjacent parallel plate capacitors are used to deflect charged particles as schematically displayed in Fig. 1. The relevant geometrical dimensions are shown in the figure. The lower capacitor plates are grounded (zero potential) while the upper plates can be maintained at arbitrary controlling potentials Vị and V2, which are to be found in this problem given the following information. A positively charged particle of charge q and mass m enters the system at point A moving horizontally with speed vị. After executing some trajectory, the particle exits the system at point B, which has the same vertical position as point A. The velocity of the particle at point B is, however, not horizontal: the particle is deflected downward as shown and its speed is found to be equal to vf. Find the potentials V1 and V2, including their signs, used for the deflection? Gravity can be neglected. V1 V2. B h
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