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Published byFrederick Haynes Modified over 9 years ago
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Chapter 16 Inductive AC Circuits
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Objectives –After completing this chapter, the student should be able to: Describe the phase relationship between current and voltage in an inductive AC circuit. Determine the inductive reactance in an AC circuit. Explain impedance and its effect on inductive circuits.
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Describe how an inductor-resistor network can be used for filtering and phase shifting. Explain how low-pass and high-pass inductive circuits operate.
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Inductance in AC circuits –Inductors offer opposition to current flow. Voltage placed across an inductor creates a magnetic field. When AC voltage changes polarity, it causes the magnetic field to expand and collapse. Voltage is induced in the inductor coil called a counter-electromotive force (CEMF).
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CEMF –180 degrees out of phase with the applied voltage. –Opposes the applied voltage. –Opposition is as effective in reducing current flow as a resistor.
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Inductive reactance –The opposition offered to current flow by an inductor. –Measured in ohms. –Depends on its inductance and the frequency of the applied voltage. –Expressed by the symbol X L.
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The formula for determining inductive reactance is: X L = 2 fL where: = pi or 3.14. f = frequency in hertz. L = inductance in henries.
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Applications of inductive circuits –Inductors are widely used in electronics. Compete with capacitors for filtering and phase shift applications. –Inductors have fewer applications than capacitors because they are: larger. heavier. more expensive.
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Inductors provide a reactive effect while still completing a DC circuit path. Capacitors provide a reactive effect, but block the DC elements. Inductors and capacitors are sometimes combined to improve the performance of a circuit.
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Series RL networks are used as high- and low-pass filters.
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The frequency above or below the frequencies passed or attenuated is called the cut-off frequency. –Symbol is f co. –Can be determined by the formula:
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where f co = cut-off frequency in hertz. R = resistance in ohms. = 3.14. f = frequency in hertz. L = inductance in henries.
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In Summary –In a pure inductive circuit, the current lags the applied voltage by 90 degrees. –Inductive reactance the opposition to current flow offered by an inductor in an AC circuit. symbol is X L. measured in ohms. Formula: X L = 2 fL.
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Impedance RL circuits used for: –High-pass filters. –Low-pass filters.
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