Newer automobiles have filters that remove fine particles from exhaust gases. Th

Question

Newer automobiles have filters that remove fine particles from exhaust gases. This is done by changing the particles and separating them with a strong electric field. Consider a productively charged particle +1.9 mu C that enters an electric held with strength 2 times 10^5 N/C. The particle is travelling at 19 m/s and has a mass of 10^-9 g. What is the acceleration of the particle? (Enter the magnitude only.) m/s^2 What is the direction of the acceleration of the particle relative to the electric field? it is in the same direction as the electric field it is 90 degree to the left of the electric field it is 90 degree to the right of the electric field. it is in the opposite direction of the electric field. The classic Milkman oil drop experiment was the first to obtain an accurate measurement of the charge on an element. In it oil drops were suspended against gravity by a vertical electric field. Assume the oil drop to be 1.90 mu m in radius and have a density of 883 kg/m^3. (a) Find the weight of the drop. 7.914e.14 (b) If the drop has a single excess electron, find the magnitude of the electric field strength needed to balance its weight. N/C

Explanation / Answer

a) Acceleration of the particle

a = E q / m

= (2 * 106 * 1.9 * 10-6) / (10-12)

a = 3.8 * 1012 m/s2

b) It is in the same direction as electric field

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