Lect_19_Systems_F06.pdf - ECE 2210 Lecture 19 notes Second order Transient example Systems Ex 1 The switch at right has been in the open position for a

Lect_19_Systems_F06.pdf - ECE 2210 Lecture 19 notes Second...

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ECE 2210 Lecture 19 notes Second order Transient example & Systems A. Stolp 11/1/06 R 1 . 120 Ω Ex 1. The switch at right has been in the open position for a long time and is closed (as shown) at time t = 0 . L . 0.5 mH R 2 . 80 Ω V S . 24 V a) What are the final conditions of i L and the v C ? C . 1.5 μ F R 3 . 40 Ω R 3 . 40 Ω = V S 24 V i L ( ) = = V S R 3 600 mA = R 3 40 Ω v C ( ) = = V S 24 V b) Find the initial condition and intial slope of i L so that you could find all the constants in i L (t) . Don't find i L (t) or it's constants, just the initial conditions. = R 1 120 Ω Before the switch closes i L ( ) 0 = = V S R 1 R 3 150 mA = V S 24 V = R 3 40 Ω v C ( ) 0 = = . V S R 3 R 1 R 3 6 V Just after the switch closes: = R 2 80 Ω . 150 mA . 18 V = V S 24 V = . 18 V . 80 Ω 225 mA v L ( ) 0 = = . 24 V . 6 V 18 V d d i i L ( ) 0 = = . 18 V L 36000 A sec = . 6 V . 40 Ω 150 mA i C ( ) 0 = = . 150 mA . 18 V R 2 . 6 V R 3 225 mA = R 3 40 Ω . 6 V c) Find the initial condition and intial slope of v C so that you could find all the constants in v C (t) . Don't find v C (t) or it's constants, just the initial conditions.
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