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Problem 7.5 An electron is fired horisontally at vos between parallel charged electrical plates. Assume the plates are oriented horizontally and that the top plate is negatively charged and the dottom plate is positively charged, so the elec- tron feels a uniform force downwards. Denote this force by F.. Using Cartesian coordinates, calculate the angular momentum as a function of time and show that the time rate of change of angular momentum is equal to the torque ex- erted on the electron òy the electric field. Evaluate the angular momentum (and torque) relative to an origin located at the position of the electron when it first enters the electric field. See Figure 7.10. Answer: 1= -(1/2)vo.F,t²i.

Problem 7.5 An electron is fired horisontally at vos between parallel charged electrical plates. Assume the plates are oriented horizontally and that the top plate is negatively charged and the dottom plate is positively charged, so the elec- tron feels a uniform force downwards. Denote this force by F.. Using Cartesian coordinates, calculate the angular momentum as a function of time and show that the time rate of change of angular momentum is equal to the torque ex- erted on the electron òy the electric field. Evaluate the angular momentum (and torque) relative to an origin located at the position of the electron when it first enters the electric field. See Figure 7.10. Answer: 1= -(1/2)vo.F,t²i.

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Problem 7.5 An electron is fired horizontally at vos between parallel charged electrical plates. Assume the plates are oriented horizontally and that the top plate is negatively charged and the bottom plate is positively charged, so the elec- tron feels a uniform force downwards. Denote this force by F.. Using Cartesian coordinates, calculate the angular momentum as a function of time and show that the time rate of change of angular momentum is equal to the torque ex- erted on the electron by the electric field. Evaluate the angular momentum (and torque) relative to an origin located at the position of the electron when it first enters the electric field. See Figure 7.10. Answer: 1=-(1/2)vo-F.t?i. + + + + Figure 7.10: An electron between charged plates.
Transcribed Image Text:Problem 7.5 An electron is fired horizontally at vos between parallel charged electrical plates. Assume the plates are oriented horizontally and that the top plate is negatively charged and the bottom plate is positively charged, so the elec- tron feels a uniform force downwards. Denote this force by F.. Using Cartesian coordinates, calculate the angular momentum as a function of time and show that the time rate of change of angular momentum is equal to the torque ex- erted on the electron by the electric field. Evaluate the angular momentum (and torque) relative to an origin located at the position of the electron when it first enters the electric field. See Figure 7.10. Answer: 1=-(1/2)vo-F.t?i. + + + + Figure 7.10: An electron between charged plates.
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