Formula to calculate the charge in a sphere

AI Thread Summary
To calculate the charge of a sphere with a diameter of 0.26 meters producing an electric field of 1030 N/C at its surface, Gauss's law is essential. The relevant formula derived from Gauss's law is E = (1/(4πε₀))(q/r²), where E is the electric field, q is the charge, and r is the radius of the sphere. Rearranging this formula allows for the calculation of charge (q) as q = E * 4πε₀ * r². The value of ε₀ is approximately 8.85 x 10^-12 F/m, which is necessary for the calculation. Using these principles will yield the required charge for the sphere.
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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