Electric Fieldsfor Cleaner Air Burning coal, whichis how many power plants gener

Question

Electric Fieldsfor Cleaner Air
Burning coal, whichis how many power plants generate electricity, releases a number ofharmful byproducts. Particulate pollution (i.e., soot or smoke) isthe most visually obvious. Modern coal-burning power plants makeuse of electrostatic precipitators (ESPs) to remove most of theparticulate pollution. As the hot, impure air heads out of theplant, it passes through an area where soot particles can pick upsome electric charge. The air then passes through an area with astrong electric field to pull the pollutant particles away to anarea where they can be safely removed.
Part A
Suppose that a charged particle of diameter 1.00 micrometermoves with constant speed in an electric field of magnitude newtons per coulomb while acted upon by a dragforce of newtons. What is the charge on the particle? Ignore the effects ofgravity.

Explanation / Answer

Burningcoal, which is how many power plants generate electricity, releasesa number of harmful byproducts. Particulate pollution (i.e., sootor smoke) is the most visually obvious. Modern coal-burning powerplants make use of electrostatic precipitators (ESPs) to removemost of the particulate pollution. As the hot, impure air heads outof the plant, it passes through an area where soot particles canpick up some electric charge. The air then passes through an areawith a strong electric field to pull the pollutant particles awayto an area where they can be safelyremoved.
If this charged soot particle is now isolated (that is,removed from the electric field described in the previous part),what will be the magnitude of the electric field due to the particle at distance 1.00 meterfrom the particle?

{E FieldMagnitude @ R = 1.0 m From Charge Q} = E =

= Q/(4*Pi*e*R^2)

= (8.988e+9)*Q/((1 m)^2)

= (8.988e+9)*Q

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