Find the charge on the conducting surface

AI Thread Summary
The discussion focuses on calculating the charge on the conducting surfaces of a shell. The net charge equation is established as Q_net = Q1 + Q2, leading to the conclusion that Q2 is -20 nC. The charge on the inner surface of the shell is determined to be -15 nC, while the charge on the outer surface is calculated as -10 nC. The importance of considering the electric field within the conducting material is highlighted to arrive at these values. The calculations confirm the charges on both surfaces based on the principles of electrostatics.
Fatima Hasan
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Homework Statement


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Homework Equations


##Q_{net}=Q_1+Q2##

The Attempt at a Solution


##Q_{net}=Q_1+Q2##
##-15 = +5 + Q_2##
##Q_2=-15-5 = -20nC##
 

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What's the charge on the inner surface of the shell?
 
Doc Al said:
What's the charge on the inner surface of the shell?
##-15 nC##
##5-15=-10 nC##
 
Fatima Hasan said:
##-15 nC##
##5-15=-10 nC##
That's not the charge on the inner surface of the shell. Do this: Imagine a Gaussian surface in the middle of the conducting material. What net charge must it contain?
 
Doc Al said:
That's not the charge on the inner surface of the shell. Do this: Imagine a Gaussian surface in the middle of the conducting material. What net charge must it contain?
##-5 nC## ?
 
Last edited:
Fatima Hasan said:
##-5 nC## ?
No, that's not the net charge within the Gaussian surface. Hint: What's the field within the conducting material?
 
Doc Al said:
No, that's not the net charge within the Gaussian surface. Hint: What's the field within the conducting material?
The charge of the inner surface is ##-15nC##
The charge of the outer surface is ##+5 - 15 = -10 nC##
 
Fatima Hasan said:
The charge of the inner surface is ##-15nC##
How did you determine that?
 
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