The attached figure shows the electric field inside a cylinder of radius R=3.0mm. The field strength is increasing with time as E = 1.0x10^8 t^2 V/m (where 't' is in seconds). The electric field outside the cylinder is always zero, and the field inside the cylinder was zero for t < 0.
a: Find an expression for the electric flux through the entire cylinder, as a function of time.
b: Find an expression for the magnetic field strength as a function of time, at a distance r<R from the center.
c: Find an expression for the magnetic field strength as a function of time, at a distance r>R from the center.
d: Draw a picture showing the magnetic field lines inside AND outside the cylinder.
