Your car can build up a significant static electric charge while driving at a high rate of speed due to electrons being removed from the car body by friction with the air. The potential difference developed between your car and the ground might be as large as 30kV. Model your car as a 500 pF capacitor. a) What would be the charge on your car in such a case? b) Roads are often banked in tight turns to help prevent a car from slipping as it turns at a high rate of speed in a tight turn. What if instead we chose to use "magnetic banking" on a road. What is the minimum magnetic field strength that you would need to use to cause your charged car (of mass 1000 kg) to turn in circle of radius of 100m at 25m/s? For starters, assume the tires to be frictionless (us=0).

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Your car can build up a significant static electric charge while driving at a high rate of speed due to
electrons being removed from the car body by friction with the air. The potential difference developed
between your car and the ground might be as large as 30kV. Model your car as a 500 pF capacitor.
a) What would be the charge on your car in such a case?
b) Roads are often banked in tight turns to help prevent a car from slipping as it turns at a high rate of
speed in a tight turn. What if instead we chose to use "magnetic banking" on a road. What is the
minimum magnetic field strength that you would need to use to cause your charged car (of mass 1000
kg) to turn in circle of radius of 100m at 25m/s? For starters, assume the tires to be frictionless (us=0).
Transcribed Image Text:Your car can build up a significant static electric charge while driving at a high rate of speed due to electrons being removed from the car body by friction with the air. The potential difference developed between your car and the ground might be as large as 30kV. Model your car as a 500 pF capacitor. a) What would be the charge on your car in such a case? b) Roads are often banked in tight turns to help prevent a car from slipping as it turns at a high rate of speed in a tight turn. What if instead we chose to use "magnetic banking" on a road. What is the minimum magnetic field strength that you would need to use to cause your charged car (of mass 1000 kg) to turn in circle of radius of 100m at 25m/s? For starters, assume the tires to be frictionless (us=0).
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