6. (10 pts) In a research lab, a dust particle encounters a region where the electric...
6. (10 pts) In a research lab, a dust particle encounters a region where the electric field between two horizontal pieces of equipment can be modeled as a parallel-plate capacitor with a cross-sectional area of 1.50 cm2, a separation of 1.25 mm, and a charge of 35.0 mC (no typo here).
a) Determine the electric field for this model.
b) What is the potential across this region?
c) The dust particle is singly ionized and has an initial velocity of 942 m/s. If the particle initially travels in the +y direction (toward the top piece of equipment), determine the velocity of the particle when it leaves the region.
d) The Earth’s magnetic field at the location of the research lab is 0.489 Gauss, oriented at an angle of 27.9o above the Earth’s surface. Compare the magnetic force to the electric force experienced by the charge when it is about to exit the region.
Homework Answers
Here we apply formula for electric field of parallel plate capacitor and apply energy conservation. Also we apply magnetic force formula for moving charge in magnetic field.
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6. (10 pts) In a research lab, a dust particle
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