Help - Electric Field Questions

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SUMMARY

The discussion focuses on solving two electric field problems related to charged electrodes and infinite charged planes. The first problem involves calculating the charge on a circular segment of an electrode using the electric field strength formula, specifically E=Q/2ε₀A or E=σ/2ε₀, where σ is the surface charge density. The second problem requires determining the surface charge density of an infinite charged plane and the time for an electron to travel a specified distance. Key insights include the importance of correctly applying the electric field equations and considering distance from the electrode.

PREREQUISITES
  • Understanding of electric field concepts and formulas
  • Familiarity with surface charge density calculations
  • Knowledge of kinematics related to charged particles
  • Proficiency in using ε₀ (permittivity of free space) in electric field equations
NEXT STEPS
  • Study the derivation and application of the electric field of a disk formula
  • Learn about surface charge density and its relationship to electric fields
  • Explore kinematic equations for charged particles in electric fields
  • Investigate the concept of electric field uniformity near charged planes
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to deepen their understanding of electric fields and charge interactions.

DetroitDJ
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There's two questions on my current homework assignment that I keep getting the wrong answer too (the answer input site tells me it's wrong, but has nothing on why or any hints or anything). If someone could be so kind to walk me through how to solve these, I'd be really grateful.

The electric field strength 4.00 cm from a very wide charged electrode is 4000 N/C. What is the charge (in nC) on a 1.10 cm diameter circular segment of the electrode?

My method for that one so far has been utilizing the formula for the electric field of a disk, solving for Eta and using Eta in Eta=Q/A to find Q - but that's somehow wrong.

An electron is released from rest 2.0 cm from an infinite charged plane. It accelerates toward the plane and collides with a speed of 1.0*10^7 m/s. What is the surface charge density of the plane? What is the time required for the electron to travel the 2.0 cm?

Basically the same problem, but from a different point of view. Same trouble.
 
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For the first part, your equation is wrong for E, it should be E=Q/2[itex]\epsilon_{0}[/itex]A, or E=[itex]\sigma[/itex]/2[itex]\epsilon_{0}[/itex], where [itex]\sigma[/itex] is the surface charge density. What is Eta? Find out the surface charge density, then use that to find the charge on the circular segment. I'm not sure about this actually, as I haven't used the distance from the electrode- I assumed the electric field was constant, I can't see why it wouldn't be.

For the second part, you can find the acceleration, and hence the field strength, by considering the force. Then getting [itex]\sigma[/itex] should be fairly simple, it's the same eqn as the first part.
 

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