Calculating Acceleration Change: Oil Drop in Electric Field | F=ma and F_e=qE

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SUMMARY

The discussion centers on calculating the change in acceleration of an oil drop with a mass of 1.00x10^-14 kg after losing an electron in an electric field of 1.00x10^6 N/C. The relevant equations are F=ma and F_e=qE, where the change in acceleration (delta a) is determined by the formula (qE/m). The charge (q) for the oil drop is considered as the charge of a single electron, 1.60x10^-19 C, since the oil droplet is initially neutral, leading to an initial charge Q0 of 0. The electric field remains constant despite the loss of the electron.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with electric force equations (F_e=qE)
  • Knowledge of charge quantization (1.60x10^-19 C for an electron)
  • Basic concepts of electric fields and their properties
NEXT STEPS
  • Research the implications of charge loss on the motion of charged particles in electric fields
  • Explore advanced applications of F=ma in varying electric fields
  • Learn about the behavior of neutral objects in electric fields
  • Investigate the effects of multiple charge losses on acceleration
USEFUL FOR

Physics students, educators, and anyone interested in the dynamics of charged particles in electric fields will benefit from this discussion.

jaejoon89
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If an oil drop with mass 1.00x10^-14 kg loses an electron whilst in an electric field of 1.00x10^6 N/C, what is the change in acceleration?

***

F=ma
F_e = qE

So I know delta a for change in acceleration will be (qE/m) final - (qE/m) initial... but what do I use for q (I can't use 1.60*10^-19 C, right, because that's just for one electron and not the whole oil droplet?). Also, will the electric field stay the same?
 
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Would the oil droplet initially be considered neutral, so that the initial component (with Q=0) cancels out?
 
It looks like you have to assume that the initial charge Q0 = 0 since you're not given any other info.

The electric field applied should stay the same; the loss of an electron does not affect the applied field strength.
 

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