The Inductor in an AC Circuit
16 An inductor is a coil of wire, usually wound many times around a piece of soft iron. In some cases, the wire is wound around a nonconducting material.
Questions
A. Is the AC reactance of an inductor high or low? Why? _____
B. Is the DC resistance high or low? _____
C. What is the relationship between the AC reactance and the DC resistance? _____
D. What is the formula for the reactance of an inductor? _____
Answers
A. Its AC reactance (XL), which can be quite high, is a result of the electromagnetic field that surrounds the coil and induces a current in the opposite direction of the original current.
B. Its DC resistance (r), which is usually quite low, is simply the resistance of the wire that makes up the coil.
C. None
D. XL = 2πfL, where L = the value of the inductance in henrys (H). Using this equation, you can expect the reactance of an inductor to increase as the frequency of a signal passing through it increases.
17 Assume the inductance value is 10 henrys (H) and the frequency is 100 Hz.
Question
Find the reactance. _____
Answer
XL = 2πfL = 2π × 100 × 10 = 6280 ohms
18 Now, try these two examples. In each case, find XL1 (the reactance of the inductor at 1 kHz) and XL2 (the reactance at the frequency given in the question).
Questions
A. L = 1 mH (0.001 H), f = 10 kHz _____
B. L = 0.01 mH, f = 5 MHz _____
Answers
A. XL1 = 6.28 × 103 × 0.001 = 6.28 ohms
XL2 = 6.28 × 10 × 103 × 0.001 = 62.8 ohms
B. XL1 ...