# Formula to calculate the charge in a sphere

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 Law

3. 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)

## Answers and Replies

Chandra Prayaga
Science Advisor
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)

kuruman
Science Advisor
Homework Helper
Gold Member
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.

Chandra Prayaga
Science Advisor
Really, you should start by stating Gauss's law