Construct DC Motor Simulation by using matlab simulink

:

Model a DC motor in Simulink.

Modeling Steps:

$$ Create a new Simulink model.

$$ Add blocks:

$-$ Voltage Source:$$Use a 'Step' block to simulate input voltage.

$-$ DC Motor:$$Use the $\text{'}$DC Motor' block from the Simscape library.

$-$ Scope:$$To visualize output variables like speed and torque.

$$

Include parameters such as armature resistance, armature inductance, back EMF constant, and torque constant.

$-$ Armature Resistance $($Ra$)$

$-$ Armature Inductance $($La$)$

$-$ Back EMF Constant $($Kb$)$

$-$ Torque Constant $($Kt$)$

$-$ Inertia $($J$)$

$$

Simulate the motor's response to a step input voltage.

$-$ Run the simulation for a specified time $($e$.$g$.,10$ seconds$).$

$-$ Observe and record the motor speed $($rad$/$s$)$ and torque $($Nm$).$

$$

Analyze the speed and torque characteristics

$-$ Plot speed vs$.$ time and torque vs$.$ time.

$-$ Discuss the transient and steady$-$state behavior.