Matter & Interactions 2nd ed. Practice Problems
Aaron Titus | High Point University
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2g30002     An electron deflected by charged plates.     2g30002
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An electron enters a region of uniform electric field between two closely spaced, oppositely charged plates as shown below with an initial speed of m/s. Upon exiting the region, it has been deflected upward. The horizontal displacement of the electron through the plates is 5 cm, and the plates are separated a distance 5 mm.


Figure: An electron deflected by oppositely charged plates.

  1. Sketch the electric field between the plates.
  2. Which plate is positively charged and which plate is negatively charged?
  3. Which plate is at a higher electric potential ?
  4. Sketch the path of the electron as it travels through the plates.
  5. If the vertical deflection of the electron is 1 mm, what is the potential difference across the plates?

 

2g30001     Acceleration of an alpha particle by charged plates     2g30001
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An alpha particle is accelerated by two closely spaced, oppositely charged plates, as shown below.


Figure: An alpha particle moving between oppositely charged plates.

The alpha particle has a speed of m/s when it enters a slit in the positively charged plate. After traveling for 1 mm, it passes through a slit in the negatively charged plate. If the magnitude of the charge of each plate is , and if each plate has an area of , what will be the speed of the alpha particle when it reaches the negatively charged plate? (Note: the plate separation is small compared to the dimensions of the plates.)

 

2g50001     Potential difference between points near a thin, very long, uniformly charged rod     2g50001
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A thin rod of length has a uniform charge . (a) Write an expression for the potential difference , if points A and B are very close to the rod in comparison to the length of the rod. (b) Find the potential difference if the rod's length is 1 m, the rod's charge is , point A is 1 mm from the rod, point B is 3 mm from the rod, and point C is 3 mm from the rod and 1 mm from point B.


Figure: Points near a thin, very long, uniformly charged rod.

 


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