Solve Sphere Charge: Find Electric Field 2.5m from Center

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SUMMARY

The discussion focuses on calculating the electric field 2.5 meters from the center of a sphere with a charge density defined as ρ = 5.5 E-15 R2.3. The notation R2.3 indicates that the charge density varies with the distance from the center of the sphere. To find the total charge, one must integrate the charge density over the volume of the sphere, utilizing the equation E = kQ/r2 for electric field calculations.

PREREQUISITES
  • Understanding of electric field concepts and equations, specifically E = kQ/r2.
  • Familiarity with charge density notation and integration techniques.
  • Knowledge of spherical coordinates for volume integration.
  • Basic proficiency in physics notation and terminology, including the use of exponents.
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  • Learn about integrating charge density functions over spherical volumes.
  • Study the derivation and application of Gauss's Law in electrostatics.
  • Explore the implications of varying charge densities on electric fields.
  • Review examples of electric field calculations involving non-uniform charge distributions.
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Homework Statement


I have a question about notation. My professor posted an older practice test with some different notation techniques than I am used to.

"Sphere Charge
Find the electric field 2.5 m from the center of a region of space with a charge density given by ro=5.5 E-15 R**(2.3)"

I understand most of it but am unsure what the R**(2.3) means.

Homework Equations



E = kQ/r^2
ρ = 5.5 E-15

The Attempt at a Solution



I assume the R**(2.3) has something to do with the volume of the sphere but other than that I have nothing.

Attached is a screenshot of the question.
 

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stumpoman said:

Homework Statement


I have a question about notation. My professor posted an older practice test with some different notation techniques than I am used to.

"Sphere Charge
Find the electric field 2.5 m from the center of a region of space with a charge density given by ro=5.5 E-15 R**(2.3)"

I understand most of it but am unsure what the R**(2.3) means.

Homework Equations



E = kQ/r^2
ρ = 5.5 E-15

The Attempt at a Solution



I assume the R**(2.3) has something to do with the volume of the sphere but other than that I have nothing.

Attached is a screenshot of the question.

'**' is Fortran talk for power. It's just ##R^{2.3}##. It's giving the charge density as a function of distance from the center of the sphere. You need to integrate that over the sphere to get total charge.
 
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