Damn units and surface charge density.

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Homework Help Overview

The problem involves calculating the surface charge density on a large, flat sheet of charge based on the force experienced by an electron near the sheet. The subject area pertains to electrostatics and the relationship between force, electric field, and charge density.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of formulas relating force, electric field, and surface charge density. There are attempts to identify calculation errors and verify results. Questions are raised about the correctness of the calculations and the interpretation of the results.

Discussion Status

The discussion is ongoing, with participants seeking verification of calculations and expressing uncertainty about the results. Some guidance has been offered regarding potential errors in the calculations, but no consensus has been reached on the correct answer.

Contextual Notes

Participants note discrepancies in the expected results, indicating possible misunderstandings of the calculations or the application of the formulas. There is an emphasis on the need for intermediate results to clarify the process.

frasifrasi
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Ok, the question asks:

An electron close to a large, flat sheet of charge is repelled from the sheet with a 2.1×10^−12 {N} force.

Q. find the surface charge density on the sheet in C/m^2

What i did was use the formula F = qe with 2.1e-12 for the force and 6.1e-19 for the charge of an electron. This gives me E,which I used in the formula E = (surface charge density)/2epsilon_0.

Plugging everything in (epsilon_0 = 8.85e-12), I get 2.32e-42, but It says it is wrong.

Does anyone know why?

Thanks.
 
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Your formulas are correct, so there's a calculation error somewhere.

2.32e-42 C/m^2 is less than 1 electron per square kilometer!
 


I keep getting it wrong!

Can anyone verify the above is correct?

Much appreciated.
 


frasifrasi said:
Can anyone verify the above is correct?

The above is not correct. It's 2.32 x (A different power of 10 then -42)

Can you show some intermediate results? What did you get for the E-field?
 

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