# Electrostatic-Conductive shells

• ivan314
In summary, the electric field in the region 2R<r<3R will be affected by all three shells, with the outermost shell having a greater contribution. For 3R<r, the electric field will only be affected by the outermost shell.
ivan314

## Homework Statement

There are 3 concentric conductive shells with radius 1R, 2R, and 3R and charges +Q,+Q,-2Q respectively find the electric field

## Homework Equations

gauss law(electric flux)

## The Attempt at a Solution

by gauss law
for an r<R E=0 because there is no charge

for R<r<2R E=+Q/(4*pi*r2*e0)

for 2R<r<3R E=+Q/(4*pi*r2*e0)

here is my question for 2R<r<3R is it right or is it like this
E=+Q/(4*pi*r2*e0)+Q/(4*pi*s2*e0)
where s is a radius 0<s<3R
I mean in the space 2R<r<3R does the field of the conductive shell with radius 1R affect here? or the field is affected just by the shell of radius 2R

and the same for 3R<r here the field is afected by all the shells or just by the one with radius 3R
thanks beforehand.

Hello, based on the given information, the electric field in the region 2R<r<3R will be affected by all three shells since they all have a non-zero charge. However, the contribution of the outer shell with a charge of -2Q will be greater compared to the other two shells. Therefore, the correct expression for the electric field in this region would be E = +Q/(4*pi*r2*e0) - 2Q/(4*pi*r2*e0) = -Q/(4*pi*r2*e0). Similarly, for 3R<r, the electric field will only be affected by the outermost shell with a charge of -2Q, so the expression for the electric field would be E = -2Q/(4*pi*r2*e0). I hope this helps clarify your doubts.

## 1. What is an electrostatic-conductive shell?

An electrostatic-conductive shell is a protective coating or covering that is designed to prevent the buildup of static electricity on an object or surface. It is typically made from a material that is able to conduct electricity, such as metal or carbon.

## 2. How does an electrostatic-conductive shell work?

An electrostatic-conductive shell works by allowing any static electricity that accumulates on the surface to flow through the material and dissipate. This prevents the buildup of potentially damaging electrical charges, which can cause sparks and damage sensitive electronic components.

## 3. Where are electrostatic-conductive shells commonly used?

Electrostatic-conductive shells are commonly used in industries where there is a high risk of static electricity buildup, such as electronics manufacturing, chemical processing, and cleanroom environments. They are also used in consumer products, such as anti-static bags for electronic devices.

## 4. How are electrostatic-conductive shells different from anti-static shells?

While electrostatic-conductive shells and anti-static shells both serve to prevent the buildup of static electricity, they work in slightly different ways. Anti-static shells use a coating or material that resists the buildup of static electricity, while electrostatic-conductive shells allow the electricity to flow through the material and dissipate.

## 5. Are there any safety precautions to consider when using electrostatic-conductive shells?

Yes, there are some safety precautions to consider when using electrostatic-conductive shells. It is important to ensure that the shell is properly grounded to avoid any potential electric shocks. Additionally, care should be taken when handling the shells to avoid damaging them, as this could compromise their effectiveness in preventing static electricity buildup.

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