Charge flow of grounded sphere?

In summary, a conducting spherical shell with no net charge contains a charged object with a charge of +7 Coulombs inside. When the shell is grounded, electrons flow from the ground to the shell, resulting in a net charge of -7 Coulombs on the shell. After being disconnected from ground, the shell maintains a net charge of -7 Coulombs.
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Homework Statement


A conducting spherical shell , which has no net charge, has a charged object inside the shell somewhere with charge=+7 Coulombs.

Later the conducting spherical shell is connected to ground and whatever charge flows does so and a new equilibrium charge on the shell is reached. The shell is now again disconnected from ground. What now is the net total charge, if any, on the spherical shell?

The Attempt at a Solution



OK initially, before grounding, the shell would have a net charge of 0, a charge of +7 coulombs on its outer surface and a charge of -7 coulombs on its inner surface, right?

Once it's grounded... electrons will flow from the ground to the shell (because the outer surface is +7 so positive) , then, once it is removed, the shell will now have a net charge of -7 coulombs

Is this right?
 
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  • #2
Perfectly correct.
 
  • #3
thanks!
 

1. What is a grounded sphere?

A grounded sphere is an object with a net charge of 0, meaning that it has an equal number of positive and negative charges. It is connected to the ground, which serves as a charge sink, allowing any excess charges to flow into the ground and neutralize the sphere.

2. How does charge flow occur in a grounded sphere?

Charge flow in a grounded sphere occurs when there is an excess of either positive or negative charges on the surface of the sphere. These charges will flow to the ground, neutralizing the sphere and creating an equilibrium of charges.

3. What factors affect the rate of charge flow in a grounded sphere?

The rate of charge flow in a grounded sphere is affected by the amount of excess charge on the sphere, the conductivity of the ground, and the distance between the sphere and the ground. A higher excess charge, higher conductivity, and shorter distance will result in a faster rate of charge flow.

4. Can a grounded sphere hold a charge?

No, a grounded sphere cannot hold a charge. Any excess charges on the sphere will flow to the ground, leaving the sphere with a net charge of 0. The ground acts as a charge sink, preventing the sphere from holding any charge.

5. What is the purpose of grounding a sphere?

The purpose of grounding a sphere is to neutralize any excess charges on its surface. This is important in various applications, such as in electronic devices, where excess charges can cause interference or damage. Grounding also helps to maintain a safe and stable electrical environment.

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