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Impedance

Let's put an inductor in series with a resistor as is shown in Figure 2.35.

Figure 2.35: A resistor and an inductor in series.
\includegraphics[width=2.75in]{02electronics/graphics/RL_filter}

Just like the case of a capacitor and a resistor in series (see section 2.4), the resulting load on the signal generator is an impedance, the result of a combination of a resistance and an inductance. Similar to what we saw with capacitors, there will be a phase difference of 90$^\circ $ between the voltages across the inductor and the resistor. However, unlike the capacitor, the voltage across the inductor is 90$^\circ $ ahead of the voltage across the resistor.

Since the resistance and the inductive reactance are 90$^\circ $ apart, we can calculate the total impedance - the load on the signal generator using the Pythagorean Theorem shown in Equation 2.89 and explained in Section 2.5.


\begin{displaymath}
Z = \sqrt{R^{2} + X_{L}^{2}}
\end{displaymath} (3.89)


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Next: RL Filters Up: Inductors Previous: Inductors   Contents   Index
Geoff Martin 2006-10-15

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