Electric flux through a surface

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SUMMARY

The correct calculation for electric flux through a surface with an electric field of 375 N/C, an angle of 64.2°, and a distance of 4.70 cm involves using the formula EAcosθ. The user initially calculated the flux as 0.167 N·m²/C, which was incorrect due to a calculator mode error. The accurate calculation yields a flux of approximately 0.3605 N·m²/C when using the correct angle in degrees and the proper distance conversion.

PREREQUISITES
  • Understanding of electric flux and its calculation using the formula EAcosθ
  • Familiarity with trigonometric functions, specifically cosine
  • Knowledge of unit conversions, particularly from centimeters to meters
  • Experience with scientific calculators and their mode settings (degrees vs. radians)
NEXT STEPS
  • Review the concept of electric flux in electromagnetism
  • Learn about the implications of angle measurement in calculations
  • Practice unit conversion techniques, especially for electric field calculations
  • Explore common calculator settings and how they affect mathematical computations
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone involved in solving problems related to electric fields and flux calculations.

haha1234
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Homework Statement



Find the electric flux through the plane surface shown in the figure below if θ = 64.2°, E = 375 N/C, and d = 4.70 cm. The electric field is uniform over the entire area of the surface.

Homework Equations





The Attempt at a Solution



By using the equation:EAcosθ
375x0.0472cos64.2=0.167
I've found that answer is 0.167N.m2/C,but it is not correct.
What is the correct answer?
 

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Please show us exactly how you calculated your answer.
 
jtbell said:
Please show us exactly how you calculated your answer.

I'v edited the content of my thread.Tell me of there are any things are need to be added.
 
haha1234 said:
I'v edited the content of my thread.Tell me of there are any things are need to be added.

You have done the calculations incorrectly, what did you input in your calculator?
 
Pranav-Arora said:
You have done the calculations incorrectly, what did you input in your calculator?

375x0.0472cos64.2=0.167
 
haha1234 said:
375x0.0472cos64.2=0.167

I don't seem to be getting 0.167 with Wolfram Alpha.
 
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Pranav-Arora said:
I don't seem to be getting 0.167 with Wolfram Alpha.

But I cannot get he other answer.:cry:
 

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E=375
d2 = .002209
Cos64.2° = .435231

Multiply the three quantities and you should get something like .3605
 
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haha1234 said:
But I cannot get he other answer.:cry:

because the tool is interpreting the angle 64.2 in radians .
 
  • #10
Tanya Sharma said:
E=375
d2 = .002209
Cos64.2° = .435231

Multiply the three quantities and you should get something like .3605

Thanks. I finally found that I have changed the mode of my calculator into radian,so I cannot find the correct answer.
 

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