Find the surface charge density

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SUMMARY

The discussion centers on calculating the surface charge density of a spherical metal satellite with a diameter of 1.3 meters that accumulates a charge of 2.4 x 10^-6 C. The key formula for surface charge density (δ) is defined as the total charge (Q) divided by the surface area (A) of the sphere, which is given by A = 4πr². Participants clarified that the charge mentioned refers to the total charge rather than the enclosed charge, leading to the correct application of the formula δ = Q/A.

PREREQUISITES
  • Understanding of basic electrostatics concepts
  • Familiarity with the formula for the surface area of a sphere
  • Knowledge of charge density and its significance
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the concept of electric field due to surface charge density
  • Learn about Gauss's Law and its applications in electrostatics
  • Explore the relationship between charge density and electric potential
  • Investigate the effects of charge distribution on electric fields
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Students in physics, electrical engineers, and anyone interested in understanding electrostatics and charge distribution on conductive surfaces.

mr_coffee
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Helllo everyone I'm stuck. A sphereical metal satelliete 1.3m in diameter accumulates 2.4x10^-6 C of charge in one orbital revolution. Find the resulting surface charge density. This is a simple plug in chug problem i think...I know the charge and radius but i can't finda formula that works. The closest one i found was: E = \delta/Eo; Any suggestions?
 
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You have the charge. All you need is the surface area. Look up the formula for the surface area of a sphere.
 
ohhh so charge here doesn't mean q enclosed, it means surface charge density? So i could use E = \delta/(2piEor)
 
mr_coffee said:
ohhh so charge here doesn't mean q enclosed, it means surface charge density?
Right. The problem (as you gave it) states: "Find the resulting surface charge density."

And the most direct way to calculate surface charge density is by its definition: [surface charge]/[surface area]. So... what's the surface area of a sphere?
 
Oh i think you misunderstood when i said, "ohhh so charge here doesn't mean q enclosed, it means surface charge density? " I was talking about, it said: "...accumulates 2.4x10^-6 C of charge in one orbital revolution." <---that charge is q not \delta right? The surface are of a sphere is 4PIr^2. E = \delta/(4PIr^2Eo) like that?
 
ahhh n/m I'm retarded, i didn't even read ur post cleary, thanks i got it with ur suggestion!
 

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