1 / 8

ADV/TEC 3: Introducing Capacitors and Inductors

ADV/TEC 3: Introducing Capacitors and Inductors. Introductory mini-lecture. Capacitors. A capacitor is any two conductors separated by an insulator Voltage across a capacitor is proportional to the charge on each plate, q = C v. Capacitors. Apply voltage v = V 0 e j ω t

golda
Download Presentation

ADV/TEC 3: Introducing Capacitors and Inductors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ADV/TEC 3: Introducing Capacitors and Inductors Introductory mini-lecture

  2. Capacitors • A capacitor is any two conductors separated by an insulator • Voltage across a capacitor is proportional to the charge on each plate, q = Cv

  3. Capacitors • Apply voltage v = V0ejωt • Charge builds up on plates, q = C V0 ejωt • A change in voltage drives electrons from one plate to the other around the circuit, producing a current • j indicates a 90o phase difference between i & v i.e., v ‘lags’ i by 90o (or π/2) • Impedance Z = v/i= 1/jωC, Reactance XC = -1/ωC

  4. Capacitors Currentleadsvoltage

  5. Inductors • An inductor is a coil of wire usually wound on a magnetic core • Current through the coil produces a magnetic field proportional to the current • As the current changes the magnetic field changes, inducing a voltage that opposes the change in current (by Lenz’s law)

  6. Inductors • If we apply an alternating voltage v = V0e jωt, then integration gives • The j indicates a 90o phase difference between i& v i.e., v ‘leads’ i by 90o • Impedance Z = v/i= jωL, Reactance XL = ωL

  7. Inductors Voltage leads current

  8. Real Inductors • Real inductors have resistance, RL, so the impedance is • Ohm’s Law then becomes: i.e., applied voltage v is the vector sum of vL and vR • Phase angle:

More Related