# Inductors in AC Circuits

** 28 ** Figure 6.40 shows a voltage divider circuit using an inductor, rather than a capacitor.

As with previous problems, consider all the inputs to be pure sine waves. Like the capacitor, the inductor cannot change the frequency of a sine wave, but it can reduce the amplitude of the output voltage.

The simple circuit, as shown in Figure 6.40, opposes current flow.

_{L}= 2πfL.

In many cases, the DC resistance of the inductor is low, so assume that it is 0 ohms. For the next two problems, make that assumption in performing your calculations.

** 29 ** You can calculate the voltage output for the circuit shown in Figure 6.41 with the voltage divider formula.

Question

What is the formula for V_{out}? _____

** 30 ** Find the output voltage for the circuit shown in Figure 6.42.

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