Activity 3 One of the systems that you are working on includes an inductor, and the voltage across the inductor could be described using the following equation: d v(t) = Lx{i(t)} ( (3-a) Formulate a mathematical equation to compute the current passing through the inductor. Assume inductance value (L) of 25 milli Henry, and initial current (at t-0) of 2 Amperes. If v(t) = 2 sin(100t) Volts, use mid-ordinate and Simpson's rules to numerically determine the current after 3 seconds. Use 8 intervals for each. (3-b)
Activity 3 One of the systems that you are working on includes an inductor, and the voltage across the inductor could be described using the following equation: d v(t) = Lx{i(t)} ( (3-a) Formulate a mathematical equation to compute the current passing through the inductor. Assume inductance value (L) of 25 milli Henry, and initial current (at t-0) of 2 Amperes. If v(t) = 2 sin(100t) Volts, use mid-ordinate and Simpson's rules to numerically determine the current after 3 seconds. Use 8 intervals for each. (3-b)
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Transcribed Image Text:Activity 3
One of the systems that you are working on includes an inductor, and the voltage across the inductor
could be described using the following equation:
d
v(t) = LX{i(t)}
dt
(3-a) Formulate a mathematical equation to compute the current passing through the inductor.
Assume inductance value (L) of 25 milli Henry, and initial current (at t= 0) of 2 Amperes.
If v(t) = 2 sin(100) Volts, use mid-ordinate and Simpson's rules to numerically
determine the current after 3 seconds. Use 8 intervals for each.
(3-b)
(3-c)
Formulate a model in MATLAB to verify your answers in the previous part (for the mid
ordinate rule). Change the number of intervals from 5 to 25 (unit steps) and produce a
graph of integration result versus number of iterations.
(3-d) Use the results obtained above to critically evaluate the applied numerical integration
methods, commenting on their applicability and accuracy.
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