Calculating Potential Difference in Suspended Capacitor

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SUMMARY

The discussion focuses on calculating the potential difference between the plates of a capacitor when a charged object is suspended at an angle. Key equations include the relationship between electric field (E), potential difference (ΔV), and capacitance (C), specifically ΔV = -Ed and CΔV = q. The user also explores the forces acting on the charged mass, including gravitational force and the force due to the electric field. The solution involves understanding the relationship between the angle θ, mass m, plate separation d, and charge q.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Familiarity with basic physics concepts such as force and gravity
  • Knowledge of capacitor equations, specifically C = ε0*A/d
  • Ability to analyze free body diagrams
NEXT STEPS
  • Study the derivation of the electric field between parallel plates
  • Learn about the forces acting on charged particles in electric fields
  • Explore the relationship between angle θ and forces in equilibrium
  • Investigate the concept of capacitance and its applications in circuits
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding the dynamics of charged objects in electric fields.

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Homework Statement



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

Homework Equations



[tex]\Delta V=-Ed[/tex]
[tex]C\Delta V=q[/tex]
E = kq/r^2
C = e0*A/d

The Attempt at a Solution


I drew a free body diagram, but since the length of the thread isn't given, it doesn't appear to help.
I'm having a hard time finding a relationship between theta, m, d, and q. Any hints?
 
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What is the relationship between the voltage on the plates and the electric field between them? What is the equation for the force on the charged mass due to the electric field? What is the force of gravity on the mass?
 
Got it now, thanks
 

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