a) is pretty clear and got correct but b) I'm struggling with.
For b) I guess one could take the derivative of I and specify the moment t when you can plug that into Faraday's law. Or could this be solved somehow with inductance?
Actually I had it right, just had it rounded wrong. No need for integrals here. In b) the proportion was opposite / complement of what my intuition said.
a) I have calculated (1) λ = ρA = ρπr^2 = 2.49 * 10^-10 C/m and placed it into (2) yielding E = λ / (2πεx^2) = 106.73 N/C.
This doesn't seem to be correct by the feedback, however.
b) Here just to consider the proportion of the cylinder mass constrained by y.