Lecture-16

Lecture-16 - 1 Lecture-16 Oscillation in LC circuit without...

Info iconThis preview shows pages 1–4. 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: 1 Lecture-16 Oscillation in LC circuit without resistor We have In absence of any resistor in circuit, charge ( q ) initially stored in C drives current ( i ) in circuit and, later, the current charges capacitor; this process repeats over time. Energy in circuit oscillates from electrical energy to magnetic energy indefinitely. Signs of charge in C and current in L alternate between + and . Time C q U E 2 2 2 2 1 Li U B Electric energy in Capacitor: Magnetic energy in Inductor: 2 t t t 2 2 3 2 V R I V C I V L I ) ( 1 1 , sin dt dI L dt dI L V Idt C Q C V I R V t I I For L t C R LC circuit with, and without resistor When resistor is added, energy loss by Ohmic heating damps out current (i.e., U B ) as well as charge (i.e., U E ), as shown above. Phase Relations among V R , V C , V L and I Potential drops across resistor, inductor and capacitor scale differently with current: When AC current is established in R, C, or L, potential drop over it is uniquely related to current I because of above mathematical relationships. With resistor Without resistor 3 Temporal Response of Potential Drop Resistor: V - R I = 0 I = I o sin d t V R = I o R sin d t =I R sin( d t+0) Capacitor: I = I o sin d t Inductor: I = I o sin d t Idt C V C Q V 1 dt dI L V ) 2 sin( cos t L I t L I V d d d d L ) 2 sin( cos t C I t C I V d d d d C d d d V R is in phase with I....
View Full Document

Page1 / 10

Lecture-16 - 1 Lecture-16 Oscillation in LC circuit without...

This preview shows document pages 1 - 4. Sign up to view the full document.

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