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The current, i, flowing through the circuit shown in Figure P16.12, can be described by a second-order differential equation:
which can be rearranged to give
Figure P16.12:
The behavior of this system depends upon the relative values of L, C, and R (the inductance, capacitance, and the resistance). When
the system is “over-damped,” when
the system is “under-damped.” And when
the system is “critically damped.”
Use Simulink® to model the system response, assuming that R = 100,000 Ω and C = 1 × 10 −6 F. Select values of L to meet each of the damping conditions described above. Calculate the initial current value from Ohm’s law
V=iR
With a constant voltage value of 5 V applied to the system.