Question

1. Consider the coil shown in the below figure. The voltage supply is equal to: $u(t) = i(t)R + frac{dpsi(t)}{dt}$ Assuming that the inductance of the coil is constant the above equation is: $u(t) = i(t)R + Lfrac{di(t)}{dt}$ This is a linear 1<sup>st</sup> order ODE. a) What is the response of the current to change of the voltage, assuming zero initial conditions? b) Develop the system differential equation and use Simulink to find the system STEP response.

          1. Consider the coil shown in the below figure.
The voltage supply is equal to:
$u(t) = i(t)R + frac{dpsi(t)}{dt}$
Assuming that the inductance of the coil is constant the above equation is:
$u(t) = i(t)R + Lfrac{di(t)}{dt}$
This is a linear 1<sup>st</sup> order ODE.
a) What is the response of the current to change of the voltage, assuming zero initial conditions?
b) Develop the system differential equation and use Simulink to find the system STEP response.

$1. Consider the coil shown in the below figure. The voltage supply is equal to: u(t) = i(t)R + fracdpsi(t)dt Assuming that the inductance of the coil is constant the above equation is: u(t) = i(t)R + Lfracdi(t)dt This is a linear 1<sup>st</sup> order ODE. a) What is the response of the current to change of the voltage, assuming zero initial conditions? b) Develop the system differential equation and use Simulink to find the system STEP response.$

Added by Christopher A.

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