Flux and Nonconducting Shells: What are the Net Charges of Shell A and Shell B?

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Homework Help Overview

The discussion revolves around a physics problem involving electric flux and charges within two concentric nonconducting spherical shells surrounding a charged particle. Participants are examining the relationship between the flux through a Gaussian surface and the net charges of the shells.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the net charges of the shells based on the electric flux and the charge of the central particle. Some participants question the unit conversions being used, particularly regarding microcoulombs versus nanocoulombs.

Discussion Status

The discussion is ongoing, with participants providing feedback on unit conversions and clarifying the requirements of the problem. There is an indication that the original poster may need to reassess their calculations based on the feedback received.

Contextual Notes

Participants are navigating potential misunderstandings regarding the units required for their answers, as specified in the problem statement. There is also a noted discrepancy in the calculations for the net charge of shell A.

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Homework Statement



Flux and nonconducting shells. A charged particle is suspended at the center of two concentric spherical shells that are very thin and made of nonconducting material. Figure (a) below shows a cross section. Figure (b) below gives the net flux Φ through a Gaussian sphere centered on the particle, as a function of the radius r of the sphere. The scale of the vertical axis is set by Φs = 17.0 × 10^5 N·m^2/C. (a) What is the charge of the central particle? Give your answers in µC. What are the net charges of (b) shell A and (c) shell B?

http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c23/pict_23_12.gif


Homework Equations



EoI = qenc

The Attempt at a Solution



So I got the measurement of each scale on the graph by dividing Φs by 5 which gave me: 3.4x10^5 N m^2/C

For a) I used EoI = qenc and got 6.018 C which was correct.

now for part b) I found the flux to be -13.6x10^5 N m^2/C. Now finding that I was able to find the q for that area. I found the area to be -1.2036x10^5 C. Now in order to find the net charge for shell a, I subtracted the charge of the central particle which was found in part a) to the charge found in part b) which gave me -1.8054x10^-5 C. But that answer was wrong.

I must have the logic wrong for part b). Can anyone help me out :)
 
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Are you sure that you are entering your data in units of [tex]\mu C[/tex]?
 
yes I have converted them to nano C
 
seraphimhouse said:
yes I have converted them to nano C

Don't you mean micro coulombs? For example, if your calculated answer was -1.8054x10^-5 C, which is -18.054x10-6 C, which is -18.054 µC, meaning you should enter in -18.054.

(It says in the problem statement, "Give your answers in µC.")
 

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