Gauss's Law: Charge Distribution in Cylinder Volume

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The discussion revolves around applying Gauss's Law to find the electric field (E) due to a uniformly charged infinite cylinder. For points inside the cylinder (r<R), the electric field is derived as E = (ρ*r)/(2ε°), where ρ is the volume charge density. The user successfully demonstrated this using the relationship between charge (q), volume (v), and area (A). For points outside the cylinder (r>R), clarification is sought on how to proceed with calculations and what values to substitute for q and A. The conversation emphasizes the consistent application of Gauss's Law for both scenarios.
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Homework Statement


Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R.
a)Show that at a distance r from the cylinder (r<R): E= (ρ*r)/2ε° where ρ is the volume charge density and (b) write and for E when r>R


Homework Equations





The Attempt at a Solution


hey guys...i was able to prove the first part:
as q= ρv= ρ∏r^2 * L

EA= Q/ε

E= (ρ∏r^2L)/ε°2∏rL >> after cancelling i got that expression in the question...

and about the b part, do we just do the same thing...which r do we substitute? Please help asap

 
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It's the same old Gauss law! EA = q/e0 as you say.
What are q and A now?
 

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