Electric Charge of Water droplet falling

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SUMMARY

The discussion focuses on calculating the charge of a stationary charged water droplet with a radius of 0.02 mm in an electric field of 100 N/C. The charge is determined using the formula q = ma/E, where the mass is derived from the density of water (103 kg/m³). The calculated charge is approximately 8.22 x 10^-3 Coulombs. Furthermore, the number of electrons lost by the droplet is calculated to be approximately 5.13 x 10^16, indicating a significant loss of electrons compared to its neutral state.

PREREQUISITES
  • Understanding of electric fields and forces (E=F/q)
  • Knowledge of mass and density calculations (p=m/v)
  • Familiarity with the charge of an electron (1.6021765 x 10^-19 Coulombs)
  • Basic principles of electrostatics and charge neutrality
NEXT STEPS
  • Study the relationship between electric fields and charged particles
  • Learn about Coulomb's law and its applications in electrostatics
  • Explore the concept of charge quantization and its implications
  • Investigate the behavior of charged droplets in electric fields
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Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in the behavior of charged particles in electric fields.

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Homework Statement



A charged water droplet of radius 0.02 mm remains stationary in air. If the electric field of the Earth is 100 N/C downward,what is the charge on the water droplet? By comparison with its neutral state, how many electrons must the water droplet have gained or lost? [ Density of water is 103 kg m-3 ]

Homework Equations



E=F/q , F=ma , p=m/v

The Attempt at a Solution



I got the first answer ...which i have used

q = ma/E which mass of water droplets is derive from the density formula of a sphere and the density formula...

I don't quite understand by the second part?
"By comparison with its neutral state, how many electrons must the water droplet have gained or lost?"

what it is meant by neutral state?
 
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hemetite said:
I don't quite understand by the second part?
"By comparison with its neutral state, how many electrons must the water droplet have gained or lost?"

what it is meant by neutral state?
Uncharged.
Work out how many Coulombs of charge are on the drop.
Then from knowing the charge on the electron, how many electrons this represents.
 
thanks..here is my attempt...

from answer of first part q=8.22 x 10^-3..

there at drop the number of electrons lost = (8.22 x 10 ^ -3) / (1.6021765 x 10 ^ -19)

= 5.13 x 10 ^ 16

i have strong feeling that this is the answer...since when it is falling...the charge of the drop is strong enough to dispel the calculated amount of electrons...
 

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