The magnitude of the magnetic field in Figure P29.40 changes with time, and the magnitude of the accompanying electric field inside the magnetic field is given by \(E(r, t)=3 C r t^{2}\), where \(C\) is a positive constant and \(r\) is the radial distance from the center of the magnetic field. For the case where \(B=0\) at \(t=0\), derive an expression for the magnitude of the magnetic field as a function of time for \(t>0\).

Data from Figure P29.40

Transcribed Image Text:

Figure P29.40 x 'Bout of page