Finding the E field with a changing p?

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To find the electric field with a changing charge density, it is essential to determine the charge enclosed using the correct formula. The charge density is given as ρ=ρ0r/R, indicating that it varies with the radius. Therefore, option one, Qencl = ∫(ρ*dV), is necessary for accurate calculations since ρ is a function of the variable radius. Integration should be performed over the appropriate volume for three-dimensional problems or over an area for two-dimensional scenarios. Proper application of these principles is crucial for solving the problem effectively.
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Finding the E field with a changing p?

Given that ρ=ρ0r/R when finding the charge enclosed would you use

1:Qencl = ∫(ρ*dV)

or

2: Qencl = ρV given that ρ has already been given with a coefficient to account for a changing r?
 
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If you mean that little 'r' is a variable radius then you must integrate (option 1), because the charge density is a function of the radius.

Integrate over a volume if the problem is 3dimensional, or over an area if the problem is 2d.
 
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