For the given circuit:
a) Define the equation for i(t)? (solve differential equation)
b) Find the time constant τ.
c) Compute the current after 200 ns.
d) Perform a transient analysis in Qucs. Use a rectangle voltage source (or Voltage Pulse) and set its parameters TH = TL = 1μs.
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ug(t) = Ug*1(t)
Ug= 5 V
R=100 Ω
L = 10 μH
i(o) = 0 mA