time_dependence_of_an_lr_circuit

time_dependence_of_an_lr_circuit - R dt dI L R dt dI L I R...

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Time Dependence of LR Circuit Given: F i n d : 120 1 R ? 0 t 330 2 R 240 3 R mH L 6 . 1 v 9 V % 63 % Three resistors ( R 1 = 120 Ohms, R 2 = 330 Ohms, and R 3 = 240 Ohms) and an ideal inductor ( L = 1.6 mH) are connected to a battery ( V = 9 V) through a switch as shown in the figure above. The switch has been open for a long time before it is closed at t = 0. At what time t 0 , does the current through the inductor ( I 3 ) reach a value that is 63% of its maximum value? Solutions a.) To find we can use the following formula: 0 t 63% is We will need three equations 0 3 3 3 1 1 V dt dI L I R I R 0 2 2 3 3 3 I R dt dI L I R 3 2 1 I I I From the three equations we must get it to look like 0 3 3 dt dI I V 0 t Note: & are just constants

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 0 3 3 3 3 2 1 V dt dI L I R I I R 2 3 3 3 2 R dt dI L I R I 0 3 3 3 3 2 3 3 3 1 V dt dI L I R I R dt dI L I R R 0 3 3 3 3 1 2 3 3 3 1 V dt dI L I R I R R dt dI L I R R 0 3 3 3 3 1 2 3 1 2 3 3 1 V dt dI L I R I R R dt dI L R R I R R 0 2 3 1 3 3 3 3 1 2 3 3 1
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Unformatted text preview: R dt dI L R dt dI L I R I R R I R R V 2 1 3 3 1 2 3 1 3 R L R L dt dI R R R R R I V 2 2 1 3 2 2 3 2 1 3 1 3 R R R L dt dI R R R R R R R I V 3 2 2 1 3 2 2 3 2 1 3 1 dt dI R R R L I R R R R R R R V 2 2 1 3 2 1 2 2 3 2 1 3 1 2 2 1 R R R R R R L R R R R R R R R R R L t 2 3 2 1 3 1 2 1 R R R R R R R R L t...
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This note was uploaded on 01/26/2012 for the course PHYSICS 211 taught by Professor Selig during the Fall '10 term at University of Illinois, Urbana Champaign.

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time_dependence_of_an_lr_circuit - R dt dI L R dt dI L I R...

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