What is the magnitude of charge inside the box

In summary, the magnitude of charge inside a box is determined by the amount of charge contained within the box and the size of the box itself. This charge can come from both positive and negative charges, and can either be concentrated in one area or evenly distributed throughout the box. The magnitude of the charge can also affect the electric potential and electric field inside the box, which can in turn affect the behavior of any particles or objects inside the box. Overall, the magnitude of charge inside a box is an important factor in understanding the electrostatics of a closed system.
  • #1
eltel2910
9
0
have a box that is 4.15 cm on each side. Using a probe I measure on two opposite sides of the box and find a nearly uniform, inward-oriented, perpendicular component of the field with the magnitude of 18.3 N/C. What is the magnitude of charge inside the box?
 
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  • #2
Hint: Use Gauss's law.
 
  • #3
like this?

so do I set it up like: 18.3 = q/(2Eo). Solving for q and then that would give me one unit and then I would multiply by the volume of the cube (.00414^3)?
 
  • #4
To find the charge within the box using Gauss's law, first calculate the flux through each side of the box. The total flux will allow you to calculate the total charge. See this for more on http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gaulaw.html" .

Is the field uniformly inward on all sides of the box? Or just two?
 
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  • #5
Got it

Got it Thanks Doc.
 

FAQ: What is the magnitude of charge inside the box

1. What is the concept of magnitude of charge?

The magnitude of charge refers to the amount of electric charge present in a system or object. It is a fundamental property of matter and is measured in units of Coulombs (C).

2. How is the magnitude of charge calculated?

The magnitude of charge can be calculated by multiplying the electric current (measured in amperes) by the time in seconds. It can also be determined by measuring the force between two charged objects using Coulomb's Law.

3. Can the magnitude of charge be negative?

Yes, the magnitude of charge can be negative. This indicates that the charge is negative, or in other words, there is an excess of electrons in the system. Positive magnitude of charge indicates a positive charge or a deficiency of electrons.

4. How does the magnitude of charge affect electric fields?

The magnitude of charge has a direct relationship with electric fields. The greater the magnitude of charge, the stronger the electric field will be. This means that the force between two charged objects will be greater if they have a larger magnitude of charge.

5. Can the magnitude of charge inside a closed box change?

No, the magnitude of charge inside a closed box cannot change, as charge is a conserved quantity. This means that it cannot be created or destroyed, only transferred from one object to another. Therefore, the total magnitude of charge inside a closed system will remain constant.

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