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Old Jul 2nd 2019, 09:01 PM   #1
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Electric flux

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 m
2. 0.1NC ^-1 m
3. 0.3NC ^-1 m
4. 0.01NC ^-1 m
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Old Jul 2nd 2019, 09:11 PM   #2
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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
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Old Jul 2nd 2019, 09:54 PM   #3
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Φ = E A cos(θ)

Φ = 8.85*10^-13C*3.14*1m=27.789Cm*10^-13
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Old Jul 3rd 2019, 02:01 AM   #4
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Originally Posted by TYUTNTT View Post
Φ = E A cos(θ)

Φ = 8.85*10^-13C*3.14*1m=27.789Cm*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.

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Last edited by topsquark; Jul 3rd 2019 at 02:08 AM.
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