Question $(4)$ Magnetic Torque $110$ Marks$]$

The essential featires of a small DC electric motor are shown in the figure below Figure Q$-4.$ The rotating coil of the motor is connected to a DC supply whose polarity is marked on the diagram. The direction of the magnetic field is also shown on the diagram. The DC motor is connected to a $12$ V battery. The coil has a resistance of $\backslash (4\mathrm{.}5\backslash$Omega $\backslash ).$ The coil has $1000$ turns. The motor comprises a rectangular coil of wire that is rotated in a magnetic field. Hint: this is a commutator DC motor NOT Slip ring machine.

$*$ The wifth af the ceid $-0\mathrm{.}04$ ms

$-$ The lerigth aftic mill$-6\mathrm{.}02$ m

$-$ The atrenglth of this magoetic feld $\backslash (=0\mathrm{.}0\mathrm{.}10\backslash$mathrm$\{$~T$\}\backslash )$

$-$ Number of tarns of ceil $\backslash (=10000\backslash )$ nami

Figure Q$-4$

a$)$ With the coil oriented as in Figure, what is the magnitude of the force on side XY of the coit? $[2$ Marks$]$