hw2 - i L ( t ) } and V C ( s ) = L{ v C ( t ) } in terms...

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ME 451, Homework #2 Due: February 1, 2008 1. Consider the circuit shown below. v 1 ( t ) v 2 ( t ) v 3 ( t ) R 1 R 2 L C + + + - - - (a) Find the transfer function from v 1 ( t ) to v 2 ( t ) . (b) Find the transfer function from v 1 ( t ) to v 3 ( t ) . (c) Find the transfer function from v 2 ( t ) to v 3 ( t ) . 2. Consider the circuit shown below. v ( t ) v C ( t ) i L ( t ) R 1 R 2 L C + + - - (a) Find di L ( t ) dt and dv C ( t ) dt in terms of i L ( t ) , v C ( t ) and v ( t ) . (b) Find I L ( s ) = L{
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Unformatted text preview: i L ( t ) } and V C ( s ) = L{ v C ( t ) } in terms of V ( s ) = L{ v ( t ) } , the initial inductor current i L (0) and the initial capacitor voltage v C (0) . (c) Find the transfer functions from v ( t ) to i L ( t ) and from v ( t ) to v C ( t ) . 1...
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