How Does Gauss's Law Apply to Multiple Charged Sheets?

  • Thread starter Thread starter Seraph404
  • Start date Start date
  • Tags Tags
    Gauss's law Law
AI Thread Summary
Gauss's Law can be applied to determine the electric field created by multiple charged sheets by considering the contributions from each sheet separately. The electric field due to a single infinite sheet with surface charge density σ is given by E = σ/(2ε₀), but when multiple sheets are involved, the net electric field is the vector sum of the fields from each sheet. The confusion arises because the distances from the sheets affect the net field, requiring careful consideration of the direction and magnitude of each sheet's contribution. The correct approach involves calculating the electric field at point A by accounting for the effects of all charged sheets and their respective distances. Understanding how to apply Gauss's Law in this context is crucial for solving similar problems involving multiple charge distributions.
Seraph404
Messages
63
Reaction score
0

Homework Statement



Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities \sigma1, \sigma2, \sigma3, & \sigma4 on their surfaces, as shown in the figure .

YF-22-30.jpg


These surface charge densities have the values \sigma1= -6.00E-6 C/m^2, \sigma2= +5.00E-6 C/m^2,\sigma3= +2.00E-6 C/m^2, and \sigma4= +4.00E-6 C/m^2.

A) Use Gauss's law to find the magnitude of the electric field at the point A, 5.00 cm from the left face of the left-hand sheet.



Homework Equations



Gauss's Law


The Attempt at a Solution



Well, at first this confused me because I'm pretty sure I remember that in Gauss's law, electric field depends only on the enclosed charge. But this problem gives me a lot of distances. So I guess the formula

E = \sigma/(2*\epsilon0 )

doesn't work. That's what I tried, anyway, and got the wrong answer. So, how do I approach a problem like this?
 
Physics news on Phys.org
Okay, I changed the problem.
 
Last edited:
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Thread 'Voltmeter readings for this circuit with switches'
TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
Thread 'Trying to understand the logic behind adding vectors with an angle between them'
My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
Back
Top