A cylindrical capacitor consists of two long concentric metalcylinders.If there is a charge of k coulombs per meter on the inside of the cylinder of radius R1, and -k coulombs per meter on the outside cylinder of radius R2,find the electric field E between the cylinders (Gauss law).What is E inside the inner cylinder?Outside the outer cylinder? Find either by inspection or direct integration the potential ɸ such that
E = -  ɸ for each of the three regions above.In each case E is not affected by adding an arbitrary constant to ɸ. Adjust the additive const to make ɸ a continuous func. of space

Question

A cylindrical capacitor consists of two long concentric metalcylinders.If there is a charge of k coulombs per meter on the inside of the cylinder of radius R1, and -k coulombs per meter on the outside cylinder of radius R2,find the electric field E between the cylinders (Gauss law).What is E inside the inner cylinder?Outside the outer cylinder? Find either by inspection or direct integration the potential ɸ such that
E = -  ɸ for each of the three regions above.In each case E is not affected by adding an arbitrary constant to ɸ. Adjust the additive const to make ɸ a continuous func. of space

anonymous · Answer

E= -∇ɸ
This ques. comes under vector analysis, but how to aproach this ques. Pls explain in detail.
its an application oif divergence theorem