Print ViewCalculating Flux for Hemispheres of Different Radii

[dark_omen]

Calculating Flux for Hemispheres of Different Radii

Homework Statement

Calculating Flux for Hemispheres of Different Radii.
There are two hemispheres and I have to find the flux through the annular ring of surface 1, 2, and 3 in terms of C (a constant proportional to a charge) and two radii r_1 and r_2.
Here is a diagram of this http://img233.imageshack.us/img233/5523/hemsp1tw8.gif

Homework Equations

flux = |E||dA|cos(theta)
E(r)=C/r^2 r_hat
These are the equations that are given in the problem.

The Attempt at a Solution

I really have know idea where to go with this problem. I know it just has to be the equation, but I don't know how to set it. If anyone has any strategies to solving this problem that would be great.
Thanks.

 

[kite7]

I am probably too late but


You have E = C/r^2
You have flux = E*A

Once you find your area, you can cancel the radius out

 

[m2003]

I would first start by clarifying the problem and the given information. It seems that we have two hemispheres with different radii and we need to calculate the flux through the annular ring of surface 1, 2, and 3. We are given a diagram and the equations for flux and electric field.

Next, I would identify the key variables in the problem - the constant C, the two radii r1 and r2, and the angle theta. I would also note that the electric field is given as a function of radius, and since the problem involves different radii, we will need to use the appropriate electric field for each surface.

To solve this problem, we can use the equation flux = |E||dA|cos(theta). We can calculate the electric field for each surface using the given equation E(r)=C/r^2 r_hat. Then, we can determine the area of each annular ring, which will depend on the difference between the two radii (r2 - r1). Finally, we can use the equation for flux to calculate the flux through each annular ring for each surface.

In summary, the key steps to solving this problem would be to identify the key variables, use the appropriate electric field equation for each surface, determine the area of each annular ring, and use the equation for flux to calculate the flux for each surface. It may also be helpful to draw a diagram and label all the given information to better visualize the problem.