Electric flux

Jul 2019
6
0
Hello sir
How to solve this an electric charge of 8.85*10^-13 C is placed at the center of a sphere of radius 1m. The electric flux through the sphere is:
1. 0.2NC ^-1 m²
2. 0.1NC ^-1 m²
3. 0.3NC ^-1 m²
4. 0.01NC ^-1 m²
 

topsquark

Forum Staff
Apr 2008
2,978
631
On the dance floor, baby!
First, this is not a Mecanics question. I am moving the thread to the "Electricity and Magnetism" Forum.

Hint: What is the equation for electric flux?

-Dan
 
Jul 2019
6
0
Φ = E A cos(θ)

Φ = 8.85*10^-13C*3.14*1m²=27.789Cm²*10^-13
 

topsquark

Forum Staff
Apr 2008
2,978
631
On the dance floor, baby!
Φ = E A cos(θ)

Φ = 8.85*10^-13C*3.14*1m²=27.789Cm²*10^-13
That isn't correct. If you are going to use that form then you need to integrate over the angle \(\displaystyle \theta\) as it covers the whole surface of the sphere.

The flux through a sphere with a single point charge encolsed in a sphere is
\(\displaystyle \Phi _E = \dfrac{q}{ \epsilon _0 }\)

I can show you this using Gauss' Law but it doesn't seem to me that you know Calculus.

-Dan
 
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