Formula to calculate the charge in a sphere

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Homework Help Overview

The problem involves determining the charge of a sphere with a specified diameter and electric field strength at its surface, utilizing concepts from electrostatics and Gauss's law.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Gauss's law and express uncertainty about deriving the charge (q) from the electric field (E) and radius (r). There are repeated inquiries about the correct formula to use for calculating charge based on the given parameters.

Discussion Status

Participants are actively engaging with the problem, referencing Gauss's law and attempting to clarify the relationship between electric field and charge. Some guidance has been offered regarding the need to start with Gauss's law, but no consensus or resolution has been reached yet.

Contextual Notes

There is a focus on deriving the charge from the electric field and radius, with participants questioning the necessary formulas and the implications of Gauss's law in this context.

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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