How Do You Calculate the Electric Field to Suspend a Proton?

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SUMMARY

The electric field required to suspend a proton in a uniform electric field, accounting for gravitational force, is calculated to be 1.04 x 10-9 N/C. The gravitational force acting on the proton, calculated using the equation FG = mg, yields a value of 1.64 x 10-26 N. The electric force is determined using the equation FE = |q|E, where the charge of the proton is 1.6 x 10-19 C. The calculations confirm that the approach to solving the problem is correct, although there was a minor calculation error noted in the discussion.

PREREQUISITES
  • Understanding of electric fields and forces (FE = |q|E)
  • Knowledge of gravitational force calculations (FG = mg)
  • Familiarity with scientific notation and exponent handling
  • Basic principles of electrostatics and charge interactions
NEXT STEPS
  • Study the relationship between electric fields and forces in electrostatics
  • Explore the concept of uniform electric fields and their applications
  • Learn about the effects of gravity on charged particles in electric fields
  • Practice calculations involving forces on subatomic particles
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding the forces acting on charged particles in electric fields.

EtherMD
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Homework Statement


A proton (m=1.67x10^-27) is suspended at rest in a uniform electric field E. Take into account gravity and determine E.


Homework Equations


FE=|q|E
Fg=mg


The Attempt at a Solution


FG = mg
FG = (1.67x10-27)(9.8)
FG = 1.64 x 10-26

Since the force on the proton due to the E field is equal and opposite, then:
FE=|q|E
FE / q= E
(1.64x10-26) / (1.6x10-19) = E
1.04x10-9 = E


Is my work correct?
 
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EtherMD said:
Since the force on the proton due to the E field is equal and opposite, then:
FE=|q|E
FE / q= E
(1.64x10-26) / (1.6x10-19) = E
1.04x10-9 = E

Have you handled your exponents correctly?
 
Probably not, but does the way I reached my answer make sense?
 
Yes the steps are correct, just a calculation error.
 

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