Where Inside an Insulating Sphere is the Electric Field Zero?

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Homework Help Overview

The problem involves determining the locations within an insulating sphere where the electric field is zero. The sphere has a uniform charge distribution and is positioned above a charged sheet, introducing complexities related to electric field interactions.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the electric field contributions from both the charged sphere and the charged sheet, questioning how these fields interact. There are attempts to apply the superposition principle and considerations of vector directions in the electric fields.

Discussion Status

The discussion is ongoing, with participants exploring different scenarios involving the sphere and the sheet. Some guidance has been offered regarding the need to consider vector directions when summing the electric fields.

Contextual Notes

Participants are navigating the implications of the problem setup, including the uniform charge distribution of the sphere and the charge density of the sheet. There is an emphasis on understanding the vector nature of electric fields.

Clement
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Homework Statement



An insulating sphere with radius 0.120 m has 0.750 nC of charge uniformly distributed throughout its volume. The center of the sphere is 0.240 m above a large uniform sheet that has charge density -9.40 nC/m2. Find all points inside the sphere where the electric field is zero.

Homework Equations



Intergral(E da) = Q_enclosed/epsilon_0

3. The Attempt at a Solution [/b
I drew the picture, but I don't know where to start.
 
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(1)If you had just the charged sphere and no charged sheet could you find the electric field?

(2)If you had just the charged sheet, and no sphere could you find the field?

(3)What does the superposition principle tell you about the combined field of the two objects?:wink:
 
(1)I think so, the electric field inside the sphere is (kQr)/R^3

(2)E= sigma/(2epsilon_0)

(3)sigma/(2epsilon_0)+(kQr)/R^3=0?

got it, thank you so much!
 
Careful, the fields are both vectors, so for (3) you need the vector sum of the two individual fields to be zero...you need to take the direction of each field into account.
 

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