Calculating Potential Difference in a Suspended Parallel Plate Capacitor

Click For Summary
SUMMARY

The discussion focuses on calculating the potential difference in a suspended parallel plate capacitor involving a mass of 420 mg and a charge of 30.0 nC. The plates are separated by 2.00 cm, and the thread makes an angle of 18.0° with the vertical. The key equations used include PE = -q(Vb-Va) and V = kq/r, which relate potential energy and electric potential. Understanding the forces acting on the mass and the angle of suspension is crucial for determining the potential difference between the plates.

PREREQUISITES
  • Understanding of electric potential and potential difference
  • Familiarity with forces acting on charged objects in electric fields
  • Knowledge of basic trigonometry for resolving forces
  • Proficiency in using equations of motion and energy in physics
NEXT STEPS
  • Study the concept of electric fields in parallel plate capacitors
  • Learn how to resolve forces using trigonometric functions
  • Explore the relationship between charge, mass, and potential difference
  • Investigate the application of Coulomb's law in capacitor problems
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism and capacitor behavior, as well as educators looking for practical examples of electric forces in action.

kkevinzhang
Messages
2
Reaction score
0

Homework Statement



A small object with a mass of 420 mg carries a charge of 30.0 nC and is suspended by a thread between the vertical plates of a parallel-plate capacitor. The plates are separated by 2.00 cm. If the thread makes an angle of 18.0° with the vertical, what is the potential difference between the plates?

Mass: 420 mg
Charge: 30.0 nC
Distance between plates: 2.00 cm
Thread of object: 18.0 degrees from vertical

Homework Equations



PE = -q(Vb-Va)
V = kq/r


The Attempt at a Solution



I just don't understand how the mass in the middle and the angle affects the problem.
 
Physics news on Phys.org
welcome to pf!

hi kkevinzhang! welcome to pf! :smile:
kkevinzhang said:
I just don't understand how the mass in the middle and the angle affects the problem.

draw a https://www.physicsforums.com/library.php?do=view_item&itemid=100" to find the horizontal force on the mass …

then calculate the potential difference which would produce that force :wink:
 
Last edited by a moderator:
thanks!
 

Similar threads

Capacitance of a parallel plate capacitor with a metal plate kept inside
  • · Replies 11 ·
Replies
11
Views
3K
Two different dielectrics between parallel-plate capacitor
  • · Replies 6 ·
Replies
6
Views
2K
Polarities of capacitor plates in a complex circuit
  • · Replies 14 ·
Replies
14
Views
2K
Question Regarding Parallel Plate Capacitor Network
  • · Replies 10 ·
Replies
10
Views
2K
Electric field between two parallel plates
  • · Replies 58 ·
2
Replies
58
Views
6K
Capacitance of a Parallel Plate Capacitor
  • · Replies 28 ·
Replies
28
Views
3K
A disconnected capacitor with two dielectrics in parallel
  • · Replies 8 ·
Replies
8
Views
2K
Find the charge on the plates of a parallel-plate capacitor w/ dielectric
  • · Replies 3 ·
Replies
3
Views
2K
Determining speed of electron in a parallel plate capacitor
  • · Replies 3 ·
Replies
3
Views
9K
Total energy of charge in parallel plate capacitor
  • · Replies 5 ·
Replies
5
Views
2K