What is the surface charge density?

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SUMMARY

The discussion focuses on calculating the surface charge density of two large parallel metal plates with opposite charges, separated by 38.0 mm, and an electric field of 480 N/C. The potential difference between the plates is determined to be 1.824 V, with the positively charged plate at a higher potential. The concept of surface charge density is introduced, emphasizing the need to reference textbooks for understanding the electric field generated by infinite sheets of charge.

PREREQUISITES
  • Understanding of electric fields and potential difference
  • Familiarity with the concept of surface charge density
  • Knowledge of basic electrostatics principles
  • Ability to apply formulas related to electric fields and potential
NEXT STEPS
  • Study the derivation of electric fields due to infinite sheets of charge
  • Learn how to calculate surface charge density using the formula σ = ε₀E
  • Explore the relationship between electric field strength and potential difference
  • Review electrostatic principles related to parallel plate capacitors
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone seeking to deepen their understanding of electrostatics, particularly in relation to electric fields and surface charge density calculations.

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Homework Statement


Two large parallel metal plate sheets carrying opposite electric charges of equal magnitude are separated by a distance of 38.0mm. The electric field between them is uniform and has magnitude 480 N/C.

a) What is the potential difference between the sheets?
b) Which sheet is at higher potential, the one with positive or negative charge?
c) What is the surface charge density D on the positive sheet?

Homework Equations


The Attempt at a Solution



I have solved a and b.

a) W/q = Potential Difference = Ed = 480(0.0038) = 1.824 V
b) Positive charge

For letter C, I have no idea how do it. It's my first time encountering the term surface charge density on this kind of problem... Pleas help.
 
Last edited:
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Consult your text. I'm sure your book talks about the electric field due to an infinite sheet of charge.
 
vela said:
Consult your text. I'm sure your book talks about the electric field due to an infinite sheet of charge.

Can you elaborate further? I didn't quite understand.
 
I'm saying read your textbook. You should know the electric field for three common charge configurations: a point charge, a line charge, and a sheet of charge. Your book will cover these.
 

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