1. Analyze the circuit in figure 1 of the lab to show that it is a negative
impedance converter, i.e., show that Z_{in } =
V_{in}/I_{in} = -Z.

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2. What is the time constant t ("tau") for the circuit of figure 4 in the lab?

3. Analyze the circuit of figure 2 in the lab to show that its input impedance
is
Z_{in}=Z_{1}Z_{3}Z_{5}/(Z_{2}Z_{4}).
Verify that if Z_{2} or Z_{4} is a capacitor and the
other impedances are resistors, then Z_{in }is the impedance
of an inductor.