A common model for a practical capacitor has a “leakage” resistance, RC , in parallel with an ideal capacitor, as shown in Figure P4.67. The effects of lead wires are also represented by resistances R1 and R2 and inductances L1 and L2.
a. Assume C = 1?F, RC = 100 M?, R1 = R2 = 1??, and L1 = L2 = 0.1?H, and find the equivalent impedance Zab seen across terminals a and b as a function of frequency ?.
b. Find the range of frequencies for which Zab is capacitive.
[Hint: Assume that RC is much greater than 1/?C such that RC can be ignored in part b.]
Analysis:
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