Formula to calculate the charge in a sphere

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SUMMARY

The discussion centers on calculating the charge of a sphere with a diameter of 0.26 meters that produces an electric field of 1030 N/C at its surface. Participants emphasize the application of Gauss's Law, which states that the electric field E is related to the charge q by the formula E = (1/(4π(ε₀))(q/r²), where ε₀ is the permittivity of free space (approximately 8.85 x 10^-12 F/m). To find the charge q, the rearranged formula q = E * (4π(ε₀) * r²) should be used, where r is the radius of the sphere.

PREREQUISITES
  • Understanding of Gauss's Law
  • Familiarity with electric fields and their calculations
  • Knowledge of the permittivity of free space (ε₀)
  • Basic algebra for rearranging formulas
NEXT STEPS
  • Study the derivation and applications of Gauss's Law in electrostatics
  • Learn how to calculate electric fields for different geometries
  • Explore the concept of permittivity and its significance in electromagnetism
  • Practice solving problems involving electric fields and charges using relevant formulas
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding electrostatics and charge calculations using Gauss's Law.

elleo
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1. The problem is: Which charge will a sphere have if it has a diameter of 0.26 meters and produces an electric field of 1030 N/C in the surface? 2. Gauss Law3. I need the charge of the sphere but i couldn´t find any formula to calculate the charge given the distance (r) and electric field (E)
 
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You are supposed to use Gauss's law. So what does Gauss's law say?
 
Is this formula:
E=((1)/(4(3.1416)(8.85X10^-12)) ((q)/(r)^2)

But what is the formula to calculate the q, the charge given the E (electric field) and r (distance)
 
elleo said:
Is this formula:
E=((1)/(4(3.1416)(8.85X10^-12)) ((q)/(r)^2)

But what is the formula to calculate the q, the charge given the E (electric field) and r (distance)
The idea is for you to use Gauss's law to find the formula that you need. That's what @Chandra Prayaga indicated in post #2.
 
Really, you should start by stating Gauss's law
 

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