Passive Circuit Elements in the Frequency Domain. Section 9.4-9.6. Outline. I-V relationship for a capacitor I-V relationship for an inductor. Current and Voltage Relationship. Q=CV (at t=t 1 ) (Current is 0)
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Determine the slope by putting a ball on the curve.
IC=C ∆V/ ∆t
IC=C ∆V/ ∆t
The faster the voltage changes, the higher the frequency,
the greater the current, and hence lower the Impedance.
So ZC, the Impedance, is inversely proportional to f.
Instantaneous power fluctuates as twice the frequency of voltage and current.
Ideally all the energy stored by a capacitor during the positive power cycle
is returned to the source during the negative portion
Note that the average power is 0.
(An inductor resists change in current. At t=0, voltage is maximum,
but current is 0. It takes time for the current to catch up to voltage.)