1. Non-constant distribution of charges: So far we have discussed only the cases of constant charge distributions ( p, o

[answerhappygod]

1 Non Constant Distribution Of Charges So Far We Have Discussed Only The Cases Of Constant Charge Distributions P O 1 (108.26 KiB) Viewed 12 times

1. Non-constant distribution of charges: So far we have discussed only the cases of constant charge distributions ( p, o, λ) are constant. Nevertheless, it's interesting to consider cases where this no longer holds. In this problem we will solve an example of this kind of problems. But first here is a warmup: Let F= 10Nî be a force applied on a particle from x=-0m to x=5m. What is the work done by the force in that distance? Now consider the force F= 4xN applied on that particle over the same distance, what will be the work done by this new force? Your answers above should tell you that we need to be careful when treating non-constant quantities when using them in our calculations. The same principle applies to charges and charge densities. a) Consider a sphere of radius R that has a charge density p= where pois some constant. Calculate the total charge inside that sphere. (Hint: use the example above and compare. = Think about how you will calculate Q using an integral instead of Q PV)*. b) Now, find the electric field everywhere inside and outside the sphere.