HW7s - P14.8-2: on Page 668 of the textbook Solution 1: Use...

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P14.8-2: on Page 668 of the textbook Solution 1: Use the Laplace transform approach directly Step 1: find initial condition of the energy storage device At = 0 t , the circuit is equivalent to () ( ) mA 3 A 10 3 10 2 6 0 0 3 3 = × = × = = + i i Step 2: find the equivalent circuit in the Laplace transform domain for the node voltage analysis At 0 > t , the Laplace transform domain of the circuit is equivalent to Step 3: Analyze the equivalent circuit Using the node voltage analysis, we have () () () () () × + × + × = s s s V s V s V s V s s V b b b a a 3 3 3 10 3 5 10 4 10 2 10 Solving the above equations, we have () 3 10 4 15 40 × + = s s V b
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( ) 3 3 3 3 3 3 10 15 4 10 2 10 5 10 3 10 4 15 40 5 1 10 3 5 × + × × = × + × + = × + = s s s s s s s s V s I b Step 4: Take inverse Laplace transform of the desired variable Therefore, () ( ) { } () () mA 2 5 A t u 10 2 10 5 3 800 15 4000 3
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HW7s - P14.8-2: on Page 668 of the textbook Solution 1: Use...

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