Calculating Electric field and total charge

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SUMMARY

The discussion focuses on calculating the electric field intensity and total charge on a gold plate with a surface charge density of 5x10^-9 C/m² and a radius of 15 cm. The electric field intensity (E) near the plate center is calculated using the formula E = ρ / ε₀, resulting in an intensity of 565 V/m. To find the total charge (q) on the plate, the equation q = (surface charge density) x (area of the plate) is applied, confirming that the charge density is constant across the surface.

PREREQUISITES
  • Understanding of electric field concepts
  • Familiarity with surface charge density
  • Knowledge of the permittivity of free space (ε₀)
  • Ability to calculate area of a circle
NEXT STEPS
  • Learn about the concept of electric field lines and their significance
  • Study the relationship between charge density and electric field strength
  • Explore the derivation of the electric field equation E = ρ / ε₀
  • Investigate applications of electric fields in capacitors and other devices
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Students in physics, electrical engineers, and anyone interested in understanding electric fields and charge distributions in conductive materials.

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Homework Statement


Surface charge density on gold plate of radium 15cm is 5x10^-9 C/m^2
A) Calculate electric field intensity (E) near plate center
B) Assuming surface charge density is constant over the entire surface of the plate, calculate the total charge on the plate

Homework Equations


En=[itex]\rho[/itex] / [itex]\epsilon[/itex]


The Attempt at a Solution


A) En=5x10^-9 C/m^2 / 8.85x10^-12 = 565 V/m
B) Not sure on the total charge equation.
 
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