How do I compute electric flux through a half-cylinder

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SUMMARY

The discussion focuses on calculating electric flux through a half-cylinder with a radius of 3.4 cm and a length of 15 cm in an electric field of 5.9 kN/C. The correct approach involves using the formula for electric flux, Φ = E * A, where A is the area of the cylindrical surface. The user initially attempted to calculate the flux using the area of the cylindrical surface and the rectangular area but encountered difficulties. The consensus is that the flux calculation should be straightforward using the correct area and electric field values.

PREREQUISITES
  • Understanding of electric flux and its formula, Φ = E * A
  • Knowledge of geometric properties of cylinders
  • Familiarity with electric fields and their units (kN/C)
  • Basic algebra for area calculations
NEXT STEPS
  • Review the concept of electric flux in electromagnetism
  • Study the geometric properties of cylinders and their surface areas
  • Learn about different methods for calculating flux in various geometries
  • Explore the implications of electric field direction on flux calculations
USEFUL FOR

Students in physics, particularly those studying electromagnetism, as well as educators and anyone needing to understand electric flux calculations in cylindrical geometries.

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Homework Statement


In figure 1, take the half-cylinder's radius and length to be 3.4cm and 15cm respectively.
VLY4seG.png


If the electric field has magnitude 5.9 kN/C, find the flux through the half-cylinder. Hint: You don't need to do an integral! Why not?

Homework Equations

The Attempt at a Solution


I tried finding the area of the cylindrical surface and multiplying that by the magnitude of the electric field. That didn't work. Then I tried finding the area of the rectangle that would be the further side of the half-cylinder and multiplying that by the electric field but again, that didn't work.

Do I need to use a different equation? I was originally using flux = E * A. Should I be using something else?
 
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Can you show the details of your calculation for the rectangular area method? E*A should work. Are you supposed to specify the result in particular units?
 

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