Finding the magnitude of electric field

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SUMMARY

The discussion centers on calculating the magnitude of an electric field between two oppositely charged parallel plates, separated by 1.59 cm, with a proton released from rest at the positively charged plate. The correct approach involves using the equations of motion and the relationship between force and electric field, specifically F=qE and F=ma. The participant initially misapplied the equation E=kQ/r², leading to an incorrect value of 9×10⁻⁸ N/C. The correct method requires understanding the relationship between voltage, distance, and electric field, expressed as E=V/d.

PREREQUISITES
  • Understanding of electric fields and forces (F=qE)
  • Familiarity with Newton's second law (F=ma)
  • Knowledge of one-dimensional motion equations
  • Basic concepts of voltage and electric potential difference
NEXT STEPS
  • Study the derivation and application of E=V/d for uniform electric fields
  • Learn how to apply kinematic equations to problems involving electric fields
  • Explore the relationship between electric field strength and charge distribution
  • Practice solving problems involving forces on charged particles in electric fields
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, as well as educators seeking to enhance their teaching methods for electric field concepts.

jlmccart03
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Homework Statement


A uniform electric field exists in the region between two oppositely charged parallel plates 1.59 cmapart. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate in a time interval 1.50×10−6 s .

Find the magnitude of the electric field.
Use 1.60×10−19 C for the magnitude of the charge on an electron and 1.67×10−27 kg for the mass of a proton.

Homework Equations


Coulomb: F = kQq/r2
F=ma
F=qE
E=kQ/r2
a=F/m

The Attempt at a Solution


First I have taken this course last spring and failed it. I simply do not understand how I set up these problems and get answers without being given an example. I literally bang my head against my desk and now I am doing the exact same thing just in a new semester. So I attempted to solve the problem this way.

I took E=kQ/r2 thinking that I could simly take the magnitude of Charge times Coloumbs constand divided by the distance squared. I get this E = 1.60*10-19 * 9*109 / 0.01592 to get 9*10-8 N/C. It's wrong. So I looked up a way to do this problem by Googling how to find electric field between two planes. I get E = V/d, but that is something we haven't learned yet so I think I am missing something and simply do not know where to go. How do you find electric field magnitude with the given equations? More so, how can I learn to tackle these problems since I just keep going one after the other not knowing what to do?

Thanks for any and all help given!
 
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jlmccart03 said:
E=kQ/r2
This is the electric field around a point charge, which is not relevant here.
jlmccart03 said:
How do you find electric field magnitude with the given equations?
You should first find the equation for the force on a charge. Once you have this, you can work out the needed variables from F=ma and the one-dimensional motion equations.
 
Last edited:
jlmccart03 said:
I literally bang my head against my desk
We've all been there...
jlmccart03 said:
More so, how can I learn to tackle these problems since I just keep going one after the other not knowing what to do?
There's no simple answer. My best advice is to try and understand the meaning of the formulas and their relation to reality as thoroughly as possible. Once you do that, it is just a matter of algebra. The biggest mistake you can make is to just try and memorize equations and hope they work.
 
NFuller said:
This is the electric field around a point charge, which is not relevant here.

You should first find the equation for the force on a charge. Once you have this, you can work out the needed variables from F=ma and the one-dimensional motion equations.
I managed to figure it out all on my own! And yeah I struggled last semester. I going to see my professor and TA's to see what I can do to make sure I understand the material. It's possible, I know I can do it, it just takes time and persistance to fight for an A in the class, but better an understading of how to do physics. Thanks!
 
jlmccart03 said:

Homework Statement


A uniform electric field exists in the region between two oppositely charged parallel plates 1.59 cmapart. A proton is released from rest at the surface of the positively charged plate and strikes the surface of the opposite plate in a time interval 1.50×10−6 s .

Find the magnitude of the electric field.
Use 1.60×10−19 C for the magnitude of the charge on an electron and 1.67×10−27 kg for the mass of a proton.

Homework Equations


Coulomb: F = kQq/r2
F=ma
F=qE
E=kQ/r2
a=F/m

The Attempt at a Solution


First I have taken this course last spring and failed it. I simply do not understand how I set up these problems and get answers without being given an example. I literally bang my head against my desk and now I am doing the exact same thing just in a new semester. So I attempted to solve the problem this way.

I took E=kQ/r2 thinking that I could simly take the magnitude of Charge times Coloumbs constand divided by the distance squared. I get this E = 1.60*10-19 * 9*109 / 0.01592 to get 9*10-8 N/C. It's wrong. So I looked up a way to do this problem by Googling how to find electric field between two planes. I get E = V/d, but that is something we haven't learned yet so I think I am missing something and simply do not know where to go. How do you find electric field magnitude with the given equations? More so, how can I learn to tackle these problems since I just keep going one after the other not knowing what to do?

Thanks for any and all help given!
1499915841528.jpeg

I guess this will help.
 

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