# Lec-16 - Amperes Law I B d l = I We must generalize this...

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Previous Lecture Mutual inductance Self inductance LR circuits October 22, 2007 – p.

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Hour Exam 2 Thursday, Nov. 1 at 4:10 pm LL270, Whitaker 303, Covers reading assignments through L-18 (end of Ch. 31) More on the web this week – p.
Today Energy in an inductor Oscillations in an LC circuit Displacement current Maxwell’s Equations – p.

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LC circuit Close switch at t =0 . – p.
LC oscillations (math) Compare phase relationships of Q on C and I in L . – p.

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LC oscillations (physics) As the charge flows away from C , the resulting current leads to a magnetic field in the inductor. Energy flows back and forth between the electric and the magnetic field. – p.
LRC circuit Close switch at t =0 . Loop equation: - L dI dt - IR + Q C =0 Use I = - dQ/dt : L d 2 Q dQ 2 + R dQ dt + Q C =0 solution: Q ( t )= Q 0 exp( - Rt/ 2 L )cos ω ± t where ( ω ± ) 2 = 1 LC - R 2 4 L 2 – p.

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Unformatted text preview: Amperes Law I B d l = I We must generalize this equation. p. Paths and surfaces I Two surfaces border on the closed path. The same current flows through both surfaces. p. Paths and surfaces II Two surfaces border on the closed path, and different currents flow through them. p. 1 Amperes Law final form I B d l = I + I E t d A p. 1 Amperes Law inside C Apply Amperes Law to a circle of radius r . The time dependent E field (displacement current) causes a B field. p. 1 Maxwells equations I E d A = Q I B d A = 0 I E d l =-I B t d A I B d l = I + I E t d A p. 1...
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## This note was uploaded on 02/29/2008 for the course PHYSICS 21 taught by Professor Hickman during the Spring '08 term at Lehigh University .

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Lec-16 - Amperes Law I B d l = I We must generalize this...

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