Question

1. The equivalent circuit of a ceramic capacitor is modeled by a series connectionof C, R,...

1. The equivalent circuit of a ceramic capacitor is modeled by a series connectionof C, R, L. Draw a log(|Z|) versus log(w) for a capacitor with C=1 uF, R=1 Ohm, L=100 nH. |Z| is the magnitude of the capacitor.

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Answer #1

The impedance of a capacitor, C is given by

The impedance of an inductor, L is given by

The impedance of a resistor, R is given by

Since these are in series, the total impedance will be

Taking the magnitude, we get

Given

So

The impedance will be minimum when

When ,

At

At

Similarly some values are calculated and a table is formed as follows

Using these values we can plot and the plot is shown below

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