Question $1$

With the help of appropriate equations and diagrams, discuss briefly the process of energy

conversion occurs in a basic electromechanical system.

Question $2$

For the Figure Q$2,$ the mechanical system moves from $x_1=3mm$ to $x_2=4mm$ along the $i$

path $1$ to $2.$ Determine the following:

$($i$)$ The change in field energy after and before the motion, $W_f=W_{f,2}-W_{f,1}$

$($ii$)$ The change in field co$-$energy after and before the motion, $W_f^{\text{'}}=W_{f,2}^{\text{'}}-W_{f,1}^{\text{'}}$

$($iii$)$ The input electrical energy during the motion, $W_e,$

$($iv$)$ The change in the mechanical energy, $W_m=W_e-W_f$

$($v$)$ The approximation of the force using, $f_m=\frac{W_m}{x}$

$($vi$)$ The force at $x_1$ and $x_2$ using $f_m=\frac{1}{2}{i}^2\frac{dL}{dg}$

$[$ Hint: assume that $L=\frac{k}{g},$ and $g_1-g_2=1mm$ where $g_1$ and $g_2$ are the

airgaps at $x_1$ and $x_2,$ respectively. $L$ is the slope of $-$i relationship at the

respective $x]$