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# hw31 - (b Derive the transfer function G s = V o s V i s...

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ECE360 HOMEWORK #3 DUE: FRIDAY, SEPTEMBER 21, 2007 Problem 3.1 o 1 R 2 v 1 v 2 C 1 C 2 + - R i + - v (t) v (t) (a) Assuming that both capacitors are deenergized at time t = 0, draw the Laplace equivalent of the above circuit. (b) Solve for the node voltages V 1 ( s ) and V 2 ( s ) as a function of the input V i ( s ). (c) Deduce the transfer function G ( s ) = V o ( s ) V i ( s ) Problem 3.2 (a) Draw an equivalent signal-flow graph in the Laplace domain for the circuit in Problem 3.1.
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Unformatted text preview: (b) Derive the transfer function G ( s ) = V o ( s ) V i ( s ) using Mason’s loop gain formula. Problem 3.3 (Problem B-10-2) Problem 3.4 Draw an equivalent signal-ﬂow graph of the block diagram in Figure 10-93 and derive the transfer function C ( s ) /R ( s ) using Mason’s loop gain formula....
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