The length of an insulating rod is changing with time as l(t) = lo cos(wt). It...

 

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The length of an insulating rod is changing with time as l(t) = lo cos(wt). It is positioned with its center at the origin of the co-ordinate system, so that it extends in z direction from -l(t)/2 to +(t)/2. It is laden with an electric charge along its (changing) length as A(z) = dq dz = Ao sin TZ a) Calculate the electric and magnetic fields received from this oscillating rod by an observer at a distance r» lo from the origin and an angle with respect to the z axis. b) Calculate the instantaneous (P[t]) and time-averaged ((P)) power radiated. [40] The length of an insulating rod is changing with time as l(t) = lo cos(wt). It is positioned with its center at the origin of the co-ordinate system, so that it extends in z direction from -l(t)/2 to +(t)/2. It is laden with an electric charge along its (changing) length as A(z) = dq dz = Ao sin TZ a) Calculate the electric and magnetic fields received from this oscillating rod by an observer at a distance r» lo from the origin and an angle with respect to the z axis. b) Calculate the instantaneous (P[t]) and time-averaged ((P)) power radiated. [40]