Problem 3 (公式題) In the figure, we have a circular path of radius \(a\) and the uniform magnetic field is time-varying as \(B(t)=B_0+ct\). (a)Find an expression for the magnitude \(E\) of the induced electric field at points within the magnetic field, at radius \(r\) from the center of the magnetic field. (b) Find an expression for the magnitude \(E\) of the induced electric field at points that are outside the magnetic field, at radius \(r\). (02小題)