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

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The discussion focuses on a physics problem involving a charged particle at the center of two concentric nonconducting spherical shells. The participant correctly calculated the charge of the central particle as 6.018 C but struggled with the net charge of shell A, initially finding it to be -1.8054x10^-5 C. A clarification was provided that this value should be expressed in microcoulombs (µC), leading to the correct interpretation of the answer as -18.054 µC. The importance of unit conversion in physics problems is emphasized, particularly when specific units are requested. The thread highlights common pitfalls in calculations and the need for careful attention to detail in unit conversions.
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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 \mu C?
 
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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