Using Coulomb\'s Law to Clean the Air Modern smokestacks use devices called scru

Question

Using Coulomb's Law to Clean the Air Modern smokestacks use devices called scrubbers to remove large amount of pollution in the form of small particles (soot). Scrubbers use a two steps process: electrons are first added to the soot particle, and an electric force then pulls the particle out of the smoke qcollector qsoot Stream. Consider a soot particle of mass msoot 1.2 picograms (1.2e-12 kg), which corresponds to a diameter of a few micrometers. Some Collector Soot number of electrons have been added to give the particle a total charge qsoot. Suppose the collector has a total charge qcollector 1.3e- particles 06 C. If the separation between the collector and the soot particle is r 0.15 m moving upward What is the magnitude of qsoot (in units of C) so that the electric force exerted on the particle is equal to its weight mg Use: g 10 m/s and k 9E9 N m2/c2. Ground Submit Answer Tries 0/2 How many electrons must be added to the soot particle electrons Submit Answer Tries 0/2

Explanation / Answer

use:
electric force = msoot*g
K*qsoot*qcollector/r^2 = msoot*g
9*10^9 * (qsoot)*(1.3*10^-6)/(0.15)^2 = (1.2*10^-12)*10
5.2*10^5 * qsoot = 1.2*10^-11
qsoot = 2.31*10^-17 C

Answer: 2.31*10^-17 C

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