Electric Flux Through Shown Surface

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SUMMARY

The discussion focuses on calculating electric flux through a surface using the formula \( \Phi_E = E \cdot A \cdot \cos(\theta) \). Participants emphasize the importance of understanding the definition of electric flux and applying the correct values for the electric field (E), area (A), and angle (θ). The consensus is that by plugging in the given values into the formula, one can determine the electric flux accurately. The final answer provided in the discussion is 1, contingent upon the correct application of the formula.

PREREQUISITES
  • Understanding of electric flux and its definition
  • Familiarity with the formula \( \Phi_E = E \cdot A \cdot \cos(\theta) \)
  • Basic trigonometry, particularly cosine functions
  • Ability to perform calculations using a scientific calculator
NEXT STEPS
  • Study the concept of electric flux in detail, including its applications in physics
  • Learn how to derive and manipulate the formula \( \Phi_E = E \cdot A \cdot \cos(\theta) \)
  • Explore examples of electric flux calculations in different scenarios
  • Investigate the relationship between electric fields and surface orientations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric flux calculations and their applications in real-world scenarios.

kyang002
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What is the electric flux through the surface shown in the figure (attachment)?
 

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What ideas do you have?
 
I'm unsure of how to do this problem. No ideas so far.
 
What is the definition of electric flux?
(Look up in your book)

And, do NOT double post (posting the same question twice or more), and show your own work or at least your ideas/what you are uncertain of in the future.
 
Well, of course as he/she said: he/she has no ideas so far
 
Just saying "I have no idea" is like asking to NOT be helped. At least, for sure, kyang002 can find the definition of electric flux, and then try at least to correlate it with the problem.

Actually, just typing the definition here will provide a starting point for others to help.
 
I think writing down the equation for electric flux would just about answer this question completely...(after plugging in 2 numbers)
 
Electric Flux would be E x A or EA cos theta.
 
The answer is 1. But I have no idea of doing it. Again no help is given.
 
  • #10
kyang002 said:
Electric Flux would be E x A or EA cos theta.

I simply hope u didn't mean
|\vec{E}\times\vec{A}|=EA\cos\theta

That "x" would invite to an erroneous interpretation.

To the OP:It's only about applying the (simple) definition and using a bit of trigonometry...

Daniel.
 
  • #11
kyang002 said:
Electric Flux would be E x A or EA cos theta.
E*A*Cos(theta)

Ok, they give you E,A,and theta. PLUG IT IN A CALCULATOR

You see, flux is the measurement of the field passing through the surface, times the area of the surface (simplest, non integral way).

So if your field is at a 30 degree angle to the horizontal surface, you need what's passing perpindicularly(right-angle) to the surface.

So its a right triangle,
/|
/ |
----

And if you want the Y edge, Cos(left angle) = Height/Hypot
Hypot = E field so
Efield*(cos(theta)) = Height

So E*Cos(theta) * Area = fllux
 
  • #12
kyang:
1. Could you identify the quantities you have been given?
2. Where should those quantities be plugged into the formula you have presented?
(That is, the flux is given by EA\cos\theta)

Note: Be careful with the angle!
 
  • #13
Now I understand. Thanks guys.
 

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