8) The primary current and the output voltage of an LVDT with sufficiently high (theoretically infinite) load resistance (RL) are given as: 11 = E1/(SL1 + R1) E. = E1s(M2 M)/(SL1 + R2) where ez(t) is the primary supply voltage (sinusoidal) of the frequency f. a) Draw the change of primary current with frequency f. Give sufficient explanation. b) The displacement -x(t) of the rod (connected to the core of the LVDT) has a square wave form (e.g. changing between the amplitudes +X+ and -Xt). For a constant supply frequency f=fc, draw the waveform of the output voltage (eo(t)) together with the waveforms of ej(t) and x(t). (Note: The frequency of x is sufficiently less than fc, e.g. around 1/10th). Give sufficient explanation