Is the book wrong again for this e field problem?

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In summary, the total charge on a nonconducting spherical shell with inner radius R1 and outer radius R2 and uniform volume charge density p is given by Q=pV=p(4/3)*pi*(R2^3-R1^3). However, there may be a discrepancy with the book's equation, which could refer to the charge within a radius r, where R1<r<R2.
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pyroknife
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Homework Statement



A nonconducting SPHERICAL SHELL of inner radius R1 and outer radius R2 has a uniform volume charge density p. Find the total charge on the shell

Homework Equations


Q=pV=p(4/3)*pi*(R2^3-R1^3) << That's what I got
the book had Q=pV=p(4/3)*pi*(r^3-R1^3) <<how can that be correct if you're finding the total charge the shell, not from R1 to r?
 
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Your answer is right, but are you sure that you are quoting the book correctly? The book could be referring to the charge contained within a radius r, such that R1<r<R2 (which can be applied to find the electric field by Gauss' law)
 

FAQ: Is the book wrong again for this e field problem?

What is an e field problem?

An e field problem is a type of physics problem that involves calculating the electric field in a given space. It can involve finding the electric field at a specific point or determining the electric field due to a specific charge distribution.

How do I know if a book is wrong for an e field problem?

You can check the calculations and assumptions made in the book to see if they align with the principles and equations of electric fields. It's also important to double check your own work and make sure you understand the concepts behind the problem.

What if the book's answer is different from mine?

If the book's answer is different from yours, try going through the problem again and checking your calculations and assumptions. It's also possible that the book may have made a mistake, so it's important to carefully review and understand the problem and solution.

Are there any common mistakes people make when solving e field problems?

Yes, some common mistakes include forgetting to include all charges in the calculation, using the wrong equation, or not properly accounting for the direction of the electric field. It's important to carefully follow the steps and principles involved in solving e field problems.

What are some tips for solving e field problems?

Some tips for solving e field problems include understanding the basic principles and equations involved, carefully reading and understanding the problem, checking your calculations and assumptions, and practicing with different types of problems to gain a better understanding of the concepts.

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