Electric Field and Forces Problem?

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SUMMARY

The problem involves calculating the electric field created by a large sheet of charge affecting a point charge of mass 0.210 kg and charge +0.340 μC. The tension in the string is measured at 5.67 N, leading to the calculation of the electric field using the formula E = F/q. The resulting electric field magnitude is determined to be approximately 10,623,529.4 N/C. The direction of the electric force is concluded to be downward, as the tension force exceeds the gravitational force, necessitating a downward force to maintain equilibrium.

PREREQUISITES
  • Understanding of electric fields and forces, specifically E = F/q
  • Knowledge of point charges and their interactions with electric fields
  • Familiarity with Newton's laws of motion, particularly equilibrium conditions
  • Basic algebra for manipulating equations and solving for unknowns
NEXT STEPS
  • Explore the concept of electric field lines and their representation in uniform fields
  • Study the principles of electrostatics, focusing on Coulomb's Law and its applications
  • Learn about the effects of different charge distributions on electric fields
  • Investigate the relationship between tension, weight, and electric forces in similar systems
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics, as well as educators looking for practical examples of electric fields and forces in equilibrium scenarios.

AnnieF
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Homework Statement



A point charge of mass 0.210 kg, and net charge +0.340*10^-6C, hangs at rest at the end of an insulating string above a large sheet of charge. The horizontal sheet of uniform charge creates a uniform vertical electric field in the vicinity of the point charge. The tension in the string is measured to be 5.67 N. Calculate the magnitude and direction of the electric field due to the sheet of charge.


Homework Equations



E=F/q

F=Q1Q2K/r^2

The Attempt at a Solution



I am not entirely sure how to do this, but this is my guess..could someone tell me if I am doing this right?

Ft-mg-Fe=0
Fe=Ft-mg
Fc=3.612 N

E=F/q
E=3.612/.340E-6
E=10623529.4 N/C
I am not sure how to tell what direction it will be in
 
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AnnieF said:

The Attempt at a Solution



I am not entirely sure how to do this, but this is my guess..could someone tell me if I am doing this right?

Ft-mg-Fe=0
Fe=Ft-mg
Fc=3.612 N

E=F/q
E=3.612/.340E-6
E=10623529.4 N/C
Looks good.
I am not sure how to tell what direction it will be in
Can you tell what the direction of the electric force is?
 
Well I was thinking that it would have to be down, because the force of tension is greater than the force of gravity, so in order for the system to be not moving, the other force would have to pull downwards in order to cancel out the larger force of tension. Is this right?
 

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