Formula to calculate the charge in a sphere

In summary, the conversation is about finding the charge of a sphere with a diameter of 0.26 meters and an electric field of 1030 N/C on its surface. The formula used is E=((1)/(4(3.1416)(8.85X10^-12)) ((q)/(r)^2) and the goal is to use Gauss's law to find the necessary formula.
  • #1
elleo
4
0
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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  • #2
You are supposed to use Gauss's law. So what does Gauss's law say?
 
  • #3
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)
 
  • #4
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.
 
  • #5
Really, you should start by stating Gauss's law
 

Related to Formula to calculate the charge in a sphere

1. How do you calculate the charge in a sphere?

The formula for calculating the charge in a sphere is Q = 4πϵ0r2Φ, where Q is the charge, π is a constant (3.14), ϵ0 is the permittivity of free space, r is the radius of the sphere, and Φ is the electric flux passing through the sphere.

2. What is the unit of measurement for charge in a sphere?

The unit of measurement for charge in a sphere is Coulombs (C).

3. Can the formula be used for any type of charged sphere?

Yes, the formula can be used for any type of charged sphere, as long as the charge is evenly distributed throughout the surface of the sphere.

4. What is the significance of the permittivity of free space in the formula?

The permittivity of free space, ϵ0, is a constant that represents the ability of a vacuum to support an electric field. It is necessary in the formula to account for the effect of the medium surrounding the charged sphere.

5. Are there any real-world applications of this formula?

Yes, this formula is commonly used in the field of electromagnetism to calculate the charge of objects such as conductors, insulators, and capacitors. It is also used in engineering and research for various applications involving charged spheres, such as electrostatic precipitators and particle accelerators.

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