Electric Field Between Oppositely Charged Parallel Plates

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SUMMARY

The discussion focuses on calculating the electric field between two oppositely charged infinite planes with surface charge densities of sigma = 8.00 nC/m² and sigma = -8.00 nC/m². The electric field at x = 3.50 m is determined to be approximately 904 N/C using the formula E = sigma/epsilon_0, where epsilon_0 is the permittivity of free space (8.85 x 10^-12 C²/(N·m²)). At x = 5.00 m, the electric field is zero due to the cancellation of the electric fields outside the region between the plates.

PREREQUISITES
  • Understanding of electric fields and surface charge density
  • Familiarity with the formula E = sigma/epsilon_0
  • Knowledge of the concept of infinite planes of charge
  • Basic understanding of vector addition and cancellation
NEXT STEPS
  • Study the derivation of the electric field between parallel plates
  • Learn about the concept of electric field lines and their behavior around charged objects
  • Explore applications of electric fields in capacitor design
  • Investigate the effects of varying surface charge densities on electric fields
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in understanding electric fields generated by charged surfaces.

Soaring Crane
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Homework Statement



An infinite plane of charge with surface charge density sigma = 8.00 nC/m^2 lies in the yz plane at the origin, and a second infinite plane of charge with surface charge density sigma = -8.00 nC/m^2 lies in a plane parallel to the yz plane at x = 4.00 m. The electric field at x = 3.50 m is approximately



a.226 N/C
b.339 N/C
c.904 N/C
d.452 N/C
e.zero



Homework Equations



E = sigma/epsilon_0 for oppositely charged parallel plates

The Attempt at a Solution


E = sigma/epsilon_0 = (8.00*10^-9 C/m^2)/(8.85*10^-12) = 904 N/C ?


Homework Statement



An infinite plane of charge with surface charge density sigma = 8.00 nC/m^2 lies in the yz plane at the origin, and a second infinite plane of charge with surface charge density sigma = -8.00 nC/m^2 lies in a plane parallel to the yz plane at x = 4.00 m. The electric field at x = 5.00 m is approximately

a.226 N/C
b.339 N/C
c.904 N/C
d.452 N/C
e.zero


Homework Equations



See below.

The Attempt at a Solution



If one draws a diagram for the E (and F) vectors, the vectors cancel each other out when outside the space between the plates, so it is 0?

Thanks.
 
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It's all good. (I didn't check your arithmetic for the first one, but your method is correct.)
 

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