Lecture-16-03-13-08

Lecture-16-03-13-08 - Lecture-16 We have Oscillation in LC...

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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:
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2 ω t t t π 2 2 3 2 V R I V C I V L I ) ( 1 1 , sin 0 0 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.
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This homework help was uploaded on 03/30/2008 for the course PHYSIC 2 taught by Professor Kim during the Spring '08 term at Lehigh University .

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Lecture-16-03-13-08 - Lecture-16 We have Oscillation in LC...

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