Electric field on a point charge

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SUMMARY

The discussion focuses on calculating the electric field produced by the nuclear charges in a water (H2O) molecule at a specific point P. The distance between the oxygen nucleus and each hydrogen nucleus is 9.58 x 10^-11 m, with an angle of 105 degrees between the hydrogen atoms. The law of cosines is utilized to determine the distance from the oxygen atom to point P, which is located 1.20 x 10^-10 m to the right of the oxygen nucleus. The solution involves sketching the configuration, calculating the electric field vectors from each nucleus, and summing their components in the x and y directions.

PREREQUISITES
  • Understanding of electric fields and Coulomb's law
  • Familiarity with vector addition
  • Knowledge of the law of cosines
  • Basic skills in sketching geometric configurations
NEXT STEPS
  • Study Coulomb's law for calculating electric fields from point charges
  • Learn vector decomposition techniques for electric field components
  • Explore the concept of electric field lines and their representation
  • Practice problems involving electric fields in molecular structures
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone interested in understanding electric fields in molecular configurations.

skidkid
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Homework Statement



The distance between the oxygen nucleus and each of the oxygen nuclei in an H2O molecule is 9.58*10^-11m; the angle between the H atoms is 105 degrees. Find the electric field produced by the nuclear charges (positive charges) at the point P at a distance of 1.20*10^-10m to the right of the oxygen nucleus.

Homework Equations


The law of cosines.


The Attempt at a Solution


I used the law of cosines to find the distance from the oxygen atom to the point P, but I don't know where to go from there.
 
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skidkid said:

Homework Statement



The distance between the oxygen nucleus and each of the HYDROGEN nuclei in an H2O molecule is 9.58*10^-11m; the angle between the H atoms is 105 degrees. Find the electric field produced by the nuclear charges (positive charges) at the point P at a distance of 1.20*10^-10m to the right of the oxygen nucleus.

Homework Equations


The law of cosines.

The Attempt at a Solution


I used the law of cosines to find the distance from the oxygen atom to the point P, but I don't know where to go from there.

Hi,

You have a mistake in your statement of the problem on the first line. I corrected it above for you. Here's the deal: you need to draw a picture of the situation first. Don't worry about equations until you have sketched your three nuclei and placed your point. Then at the point draw in a little vector arrow representing the electric field due to each charge. Hint: the vector for a given nucleus will point away from that nucleus. Now you are going to have to figure out the magnitude of that vector at the point. There's this nice equation that's got a q in the numerator and an r-squared in the denominator (also a constant out front) that gives you the magnitude of the electric field. Your job then is to figure out the components of each of the electric field vectors in the x and y directions and add them up (x components with x components and y components with y components). So you see the law of cosines is only part of it. I haven't see your drawing so I'm not sure where P is, but I'll bet that if you draw your picture with the x and y axes in the right place you can save yourself some work.

Hope this gets you started!
 
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