Lec20 - Lecture 20 Lecture 20-1 LC Oscillations 2 2 1 2 2 E B Q dQ U U LI I C dt = = = No Resistance = No dissipation 2 2 2 1 1 dQ Q dt LC LC f ω

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Lecture 20 Lecture 20-1 LC Oscillations 2 2 1 , , 2 2 E B Q dQ U U LI I C dt = = = No Resistance = No dissipation 2 2 2 1 1 dQ Q dt LC LC f ω ω π + =⇒ = = Lecture 20 Lecture 20-2 Mechanical Analogy 2 2 1 1 , , 2 2 dx U kx K mv v dt = = = max 0, U K K = = max , U U K = = max , U U K = = . E constU K = = + harmonic oscillator with k m ω = No friction = No dissipation 2 2 dx k k x dt m m ω + =⇒ = /2 f ω π = Lecture 20 Lecture 20-3 More on LC Oscillations Energy stored in capacitor: 2 2 1 () cos 2 E peak U t Q t C ω = t E U t B U Energy stored in inductor: 2 2 2 1 () sin 2 B peak U t L Q t ω ω = 1 LC ω = where 2 2 1 () sin 2 B peak Ut Q t C ω = 2 () () 2 peak E B Q UtUt C + = so sin peak dQ I Q t dt ω ω = =− Charge and current: cos peak Q Q t ω = (with δ =0) Period is half that of Q(t) Lecture 20 Lecture 20-4 Series RLC Circuits The resistance R may be a separate component in the circuit, or the resistance inherent in the inductor (or other parts of the circuit) may be represented by R . Finite R Energy dissipation...
View Full Document

This note was uploaded on 04/07/2008 for the course PHYS 241 taught by Professor Wei during the Spring '08 term at Purdue University-West Lafayette.

Page1 / 12

Lec20 - Lecture 20 Lecture 20-1 LC Oscillations 2 2 1 2 2 E B Q dQ U U LI I C dt = = = No Resistance = No dissipation 2 2 2 1 1 dQ Q dt LC LC f ω

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online