A voice coil motor is used to maintain the vertical height of a small moving platform above a fixed surface over a range of 0 to 8mm (A voice coil

motor works like a loudspeaker - the output shaft (the cone) moves in response to an input current). The height of the platform is monitored by a position transducer, i.e., linear variable differential transformer (LVDT) which, after demodulation of an AC signal and amplification, produces a DC output of 0.5 volts per millimeter. Transfer Function of the voice coil motor is 2mm of movement for 1 amp of current. The motor is driven by a power amplifier whose gain is 1000 amps per volt. (a) Draw a block diagram to show all elements of the system. Label your diagram with the above given numerical values,[Z Marks1 (b) What is the platform height that will be obtained if an input voltage of 2 volts is applied to the control system?[6 Marks] (c) What would be the platform height obtained if an ideal power amplifier was used with an infinite gain?[6 Marks] (d) What is the percentage error in the height obtained with the practical amplifier over an ideal amplifier?[6 Marks]