Task 2 The electric circuit in the figure below contains a current source driving a series inductive and resistive load with a shunt capacitor across the load. The circuit is representative of motor drive systems and induction heating systems used in manufacturing processes. Excessive peak currents during transients in the input could damage the inductor. Therefore, the equation below is used to compute response of the current through the inductor to a step in the input current to ensure that the manufacturers stated maximum current is not exceeded during start up as per the underdamped system. 2-A) 2-B) (t) T C R Load i₁(t) = e-0. -0.599 t [0.678 sin (1.3227 t) + cos (1.3227 t)] . Use Excel to plot i, vs t per equation (1). The range of t should be from 0 to 13 seconds. The range of it is to be chosen adequately by you. Make sure to label all axes, add grid lines, and title your graph. Note that the arguments of trigonometric functions are all in radian. Use your plot in part (2-A) to accurately estimate the time it took for i, to reach the maximum value, the minimum value, and the steady state value (i.e. within 1% of its final value). (1)

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Task 2
The electric circuit in the figure below contains a current source driving a series inductive and resistive load with
a shunt capacitor across the load. The circuit is representative of motor drive systems and induction heating systems
used in manufacturing processes. Excessive peak currents during transients in the input could damage the inductor.
Therefore, the equation below is used to compute response of the current through the inductor to a step in the input
current to ensure that the manufacturers stated maximum current is not exceeded during start up as per the
underdamped system.
i(t) =
= e
0.599 t
(t)
Load
[0.678 sin (1.3227 t) + cos (1.3227 t)]
(1)
2-A) Use Excel to plot i, vs t per equation (1). The range of t should be from 0 to 13 seconds. The range of
it is to be chosen adequately by you. Make sure to label all axes, add grid lines, and title your graph.
Note that the arguments of trigonometric functions are all in radian.
2-B) Use your plot in part (2-A) to accurately estimate the time it took for i, to reach the maximum value, the
minimum value, and the steady state value (i.e. within 1% of its final value).
Transcribed Image Text:Task 2 The electric circuit in the figure below contains a current source driving a series inductive and resistive load with a shunt capacitor across the load. The circuit is representative of motor drive systems and induction heating systems used in manufacturing processes. Excessive peak currents during transients in the input could damage the inductor. Therefore, the equation below is used to compute response of the current through the inductor to a step in the input current to ensure that the manufacturers stated maximum current is not exceeded during start up as per the underdamped system. i(t) = = e 0.599 t (t) Load [0.678 sin (1.3227 t) + cos (1.3227 t)] (1) 2-A) Use Excel to plot i, vs t per equation (1). The range of t should be from 0 to 13 seconds. The range of it is to be chosen adequately by you. Make sure to label all axes, add grid lines, and title your graph. Note that the arguments of trigonometric functions are all in radian. 2-B) Use your plot in part (2-A) to accurately estimate the time it took for i, to reach the maximum value, the minimum value, and the steady state value (i.e. within 1% of its final value).
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