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Published byRoland Hensley Modified over 9 years ago
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Inductive Reactance Electronics
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Inductors in AC Circuits
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Inductance Inductance opposes a change in current. Inductors create a voltage that opposes the current. Counter EMF (voltage) L v
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Inductance The Henry (symbol: H) is the SI unit of inductance. It is named after the American physicist Joseph Henry..
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Current Voltage Capacitor in DC
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ELI
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Voltage InductanceCurrent Voltage leads Current in an Inductive Circuit
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Current Voltage Inductance in AC
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Current Voltage I = I p sin(2πft) I p -Peak Current 2π-Cycle f-frequency(Hz) t-time(seconds) V = L di/dt V = L I p (2πf)cos(2πft) V p = I p (2πf)L V = L d(I p sin(2πft))/dt
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V p = I p 2πfL R = 2πfL Inductive Reactance X L = 2πfL L is an Active Component V p /I p = 2πfL
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Calculate the maximum current in a coil which has an inductance of 3 mH. The frequency is 60Hz. The maximum voltage across the coil is 6 V. X L = 2πfL L=3mH E=6V f=60Hz X L = 2π(60Hz)(.003H) X L = 1.13Ω I = E/X L I = 6V/1.13Ω I = 5.3A
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Inductive/Resistive Circuit 90° Phase Shift caused by Inductor Impedance, Z, is calculated by adding X L and R vectorially. XLXL R Z
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What is the impedance of a 100mH choke in series with a 470 Ω resistor with a 12V, 60Hz applied across them? What is the phase angle between voltage and current? X L = 2πfL L=100mH E=12V f=60Hz X L = 2π(60Hz)(.1H) X L = 37.7Ω R=470Ω
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XLXL R Z
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Current Voltage Inductance in AC 4.6°
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Inductance in AC Circuits
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1mF = 1 X 10 -3 F 1μF = 1 X 10 -6 F 1nF = 1 X 10 -9 F 1pF = 1 X 10 -12 F Capacitor Values
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RLC Circuits
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90° Phase Shift caused by Inductor XLXL R Z XCXC -90° Phase Shift caused by Capacitor
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X c = 1/(2πfC) X c = 1/(2π(60)(1.5X10 -6 ) X c = 1768Ω X L = 2πfL X L = 2π(60)(0.65) X L = 245Ω XLXL R Z XCXC = -81° ICE – Current leads Voltage by 81°
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Resonance The frequency where X L = X C The Circuit becomes a purely resistive circuit X c = 1/(2πfC) X L = 2πfL 1/(2πfC) = 2πfL X c = X L 1/(4π 2 CL) = f 2 = f
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161 Hz= f
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Worksheet Lab 2-6 Capacitors In AC Circuits Problems
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Reactance Test Classwork Lab 7, Book 2 – Capacitive Reactance Worksheets Lab 2-5 Lab 2-6 Lab 2-8 Lab 2-9 Lab 2-11 Lab 2-12 Lab 2-13 } Due the day of the test!!
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