Gauss's Law - point charge and charged sphere.

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Homework Help Overview

The problem involves a point charge located at the center of a thick conducting shell, with specific parameters given for the charges and dimensions. The goal is to determine the electric field at a point outside the shell.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to compute the electric field by considering the contributions from both the point charge and the conducting shell. They express uncertainty about their approach and seek guidance on how to proceed.
  • Some participants clarify that the electric field outside a spherical conductive shell can be treated as if all charge were concentrated at its center, prompting further inquiry into the underlying equations.
  • Others question how the fields from the point charge and the shell interact, suggesting a need for deeper exploration of the concepts involved.

Discussion Status

The discussion is ongoing, with participants providing insights into the behavior of electric fields in relation to spherical conductors. There is a focus on clarifying concepts and equations, but no consensus has been reached on the specific solution to the original poster's question.

Contextual Notes

The original poster expresses a desire to improve their understanding of the material, indicating a background in physics but a struggle with more advanced topics. This context may influence the nature of the questions and guidance provided in the discussion.

Katana750
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Homework Statement



A point charge q1 = -9.7 μC is located at the center of a thick conducting shell of inner radius a = 2.3 cm and outer radius b = 4.5 cm, The conducting shell has a net charge of q2 = 1.4 μC.


1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 8.2 cm along the x-axis from q1?



Homework Equations



E=K*q/r^2



The Attempt at a Solution



I'm honestly not sure where to start. I tried computing Eq1 at the inner edge of q2, then determining the resulting E at the outer edge of q2 then using that q value and computing E from the outer edge to P. Needless to say I didn't get the right answer.

Also, I'm new here...Last year (phys 1) I got by well enough to get a B+ in the class, but once we got beyond statics and dynamics and rotional forces (i.e. once we got to electrical/magnetic and hydrostatic forces) I was kind of lost. This year (phys 2) I'm planning to stay on top of things and actually UNDERSTAND the material, not just get a passing grade. Hence the reason I joined this forum - I apologize in advance for any dumb questions - if you see it on here rest assured that I spent at least an hour trying to figure it out on my own.

Any help is greatly appreciated!
 
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The field by any spherical conductive shell is the same as that of a point at its center with its total charge.
 
voko said:
The field by any spherical conductive shell is the same as that of a point at its center with its total charge.

Can you explain that in terms of the equations?
 
If the shell has total charge Q, then the electric field at R from its center is E = K * Q / R^2.

Observe that this effectively means, in this problem, you have charges q and Q at the center. How would their fields interact?
 

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