stored_energy_in_lcr_circuit - R i R V 1 4 2 4 2 1 1 4 2 1...

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Stored Energy in LCR Circuit Given: F i n d : 60 1 R ? stored U 220 2 R 330 3 R 480 4 R mH L 8 F C 250 v 9 V Four resistors ( R 1 = 60 Ohms, R 2 = 220 Ohms, R 3 = 330 Ohms, and R 4 = 480 Ohms), an ideal inductor ( L = 8 mH), and a capacitor ( C = 250 microF) are connected to a battery ( V = 9 V) through a switch as shown in the figure above. sed? The switch has been open for a long time before it is closed at t = 0. What is U stored , the total stored energy in the circuit elements (not including the battery) a long time after the switch is clo Solutions a.) To find we can use the following formula: stored U After a long time the circuit is going to look as follow
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2 2 2 1 2 1 CV Li U U U C L stored We just need to find and which equals 2 i C V 4 2 V V V C We will need three equations to solve for 2 i 0 2 2 1 1 V i R i R 0 4 4 1 1 V i R i R 4 2 1 i i i 1 2 2 1 R i R V i 4 1 1 4 R i R V i 4 1 1 2 1 R i R V i i 4 1 2 2 1 2 1 2 2 R R i R V R V i R i R V 4 2 2 2 1 2 2 1 R i R i R i R R V 1 2 2 4 2 2 2 1 R i R R i
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Unformatted text preview: R i R V 1 4 2 4 2 1 1 4 2 1 R R R R R R R R i R V 2 4 2 1 1 4 4 2 4 2 1 1 4 1 4 1 1 4 2 4 2 1 1 4 1 2 R R R R R R VR R R R R R R R R R V R R R R R R R R R V i 2 4 2 1 1 4 4 2 R R R R R R VR i 2 4 2 1 1 4 2 4 2 4 2 1 1 4 4 2 2 2 2 R R R R R R R VR R R R R R R VR R i R V V C 2 2 4 2 1 1 4 2 4 2 2 4 2 1 1 4 4 2 2 2 1 2 1 2 1 2 1 R R R R R R R VR C R R R R R R VR L CV Li U stored 2 2 2 2 4 2 1 1 4 4 2 1 CR L R R R R R R VR U stored Click here for fast calculation...
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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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stored_energy_in_lcr_circuit - R i R V 1 4 2 4 2 1 1 4 2 1...

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