[help] finding the total electric flux

[bibo_dvd]

Hello Guys !

iam studing the electric flux and how the relationship between D ( electric flux density ) and E ( elecric field)


but i found this problem and i don't know which formula should i use to solve it to find the electric flux

i know that Q=(Psi)=the electric flux but i don't know how to use this to solve this problem

i tried to use the integration of the volume of the sphere which is r^2 sin(ceta)*dr*d(ceta)*d(phi)

but i didn't reach to the number in the solution ...I need your help !

 

[rude man]

You don't integrate over volume, you integrate over surface area.

 

[bibo_dvd]

hmmm , this means that i will integrate r^2 sin(ceta) *d(ceta)*d(phi) ??

 

[rude man]

You don't actually perform any integration. You use Gauss's theorem thruout.

 

[HalfLostAndSearching]

Hello,

I'm glad to hear that you are studying electric flux and its relationship with electric field. The formula you mentioned, Q = Ψ = electric flux, is correct. However, to calculate the electric flux, you also need to know the area over which the electric field is passing through. This area is known as the surface area, A.

The formula for calculating electric flux is Ψ = E*A. This means that the electric flux is equal to the electric field strength multiplied by the surface area. In your problem, you mentioned that you are trying to find the electric flux of a sphere. In this case, the surface area would be the surface area of a sphere, which is 4πr^2.

So, to solve your problem, you can use the formula Ψ = E*A = E*4πr^2. Make sure to use the correct units for the electric field and surface area to get the correct units for electric flux.

I hope this helps. Let me know if you have any further questions. Good luck with your studies!