solved: Simulated inductor circuit For the circuit of Figure P 1 – 2 , using the simulated inductor from Figure P 1 – 1 , the switch has been in the down

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Figure P1-1 Simulated inductor circuit For the circuit of Figure P1-2, using the simulated inductor from Figure P1-1, the switch has been in the down (2)
position for a long time. Using nominal component values, find the complete time response of the capacitor voltage,
𝑣𝜀(𝑡), when the switch is moved to the up (1) position at 𝑡=0. Prepare a table of computed voltage values for 15
second intervals between 0 and 180 seconds. Plot the time response for 0≤𝑡≤180 seconds. (Note: You will add
data to this plot in later parts.)
Is this response overdamped, underdamped or critically damped?
a. (20 points) In this portion of the laboratory we will use a simulated inductor with components shown in Figure
P1-1. This simulated inductor has an inductance of
𝐿𝑐𝑞=𝑅3𝑅𝑓𝐶=1𝑘*1𝑀*330𝜇=330𝑘𝐻
(This is an incredibly high inductance that would be almost impossible to build using a core and windings!) The nominal internal DC resistance of the simulated inductor is
1000  For the circuit of Figure P1-2, using the simulated inductor from Figure P1-1, the switch has been in the down (2)
position for a long time. Using nominal component values, find the complete time response of the capacitor voltage,
vc(t), when the switch is moved to the up (1) position at t = 0s. Prepare a table of computed voltage values for 15
second intervals between 0 and 180 seconds. Plot the time response for 0  t  180 seconds. (Note: You will add
data to this plot in later parts.)
Is this response overdamped, underdamped or critically damped?

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