Parallel plates with a mass m at an angle

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SUMMARY

The discussion centers on determining the potential difference between the plates of a parallel plate capacitor when a mass m carrying a charge q is suspended at an angle θ. The relevant equations include the electric field strength E, defined as E = σ/ε₀ = Q/(ε₀A), and the potential difference ΔV = Ed = Qd/(ε₀A). The presence of the mass at an angle introduces additional forces, including electric force, gravitational force, and tension, which must be considered to maintain equilibrium. Participants emphasize the importance of drawing a free-body diagram to analyze the forces acting on the mass.

PREREQUISITES
  • Understanding of electric fields and potential difference in capacitors
  • Familiarity with the concepts of force equilibrium and free-body diagrams
  • Knowledge of the relationship between charge, electric field, and potential difference
  • Basic grasp of tension in strings and its role in force balance
NEXT STEPS
  • Study the derivation of electric field strength in parallel plate capacitors
  • Learn how to analyze forces in equilibrium using free-body diagrams
  • Explore the effects of angle on tension and resultant forces in physics problems
  • Investigate the relationship between charge distribution and potential difference in capacitors
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Students studying electromagnetism, physics educators, and anyone seeking to understand the dynamics of charged objects in electric fields.

~christina~
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Homework Statement



An object of mass m carries a charge q and is supsended by a thread between the vertical plates of a parallel plate capacitor. The plate separation is d. If the thread makes an angle [tex]\theta[/tex] with th evertical, what is the potential difference between the plates?

Homework Equations


[tex]E = \frac{\sigma} {\epsilon_0}= \frac{Q} {\epsilon_0 A}[/tex]

[tex]C=Q/ \Delta V[/tex]

The Attempt at a Solution



I know that for a capacitor without the mass in between it it, the potential difference is:

[tex]E = \frac{\sigma} {\epsilon_0}= \frac{Q} {\epsilon_0A}[/tex]

[tex]\Delta V= Ed = \frac{Qd} {\epsilon_0 A}[/tex]

The thing is that I'm not sure what difference would the mass at an angle would make in the potential difference.

I do know that the mass at an angle has an electric force (if the mass is angled toward the right) force pulling it to the right at an angle, the gravitational force is pulling it down, and tension force in the string. And thus mass stays stationary in the field.


Thank you
 
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~christina~ said:
I do know that the mass at an angle has an electric force (if the mass is angled toward the right) force pulling it to the right at an angle, the gravitational force is pulling it down, and tension force in the string. And thus mass stays stationary in the field.

So, you say you know the object is in equilibrium? Why don't you try drawing a diagram, labeling forces, and finding out what has to equal what.
 
Nabeshin said:
So, you say you know the object is in equilibrium? Why don't you try drawing a diagram, labeling forces, and finding out what has to equal what.

http://img151.imageshack.us/img151/4862/84586505yl8.th.jpg

I drew it but I still don't know hwat the mass has to do with the potential difference.

can ANYONE help me out with this? Please?
 
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