hw2-s10

# hw2-s10 - inputs Solve x 1 and x 2 using the Mason’s gain...

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ECE 382 Homework 2 Due: Tuesday, January 19, 2010 ~ v(t) L R C V c + _ i 1) Given an RLC circuit as shown with v ( t ) as input and v c ( t ) as output. (a) Draw a block diagram of the system without any manipulation or reduction of the blocks, and ﬁnd the overall transfer function V c ( s ) V ( s ) from your block diagram. (b) Find the overall transfer function V c ( s ) V ( s ) using the impedance approach. 2) Obtain the signal-ﬂow graph to represent the following sets of algebraic equations where x 1 and x 2 are to be considered the dependent variables and the constants on the R.H.S. are the
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Unformatted text preview: inputs. Solve x 1 and x 2 using the Mason’s gain formula. (a) 3 x 1 + 2 x 2 = 6 and 2 x 1 + 4 x 2 = 4 (b) 2 x 1 + 5 x 2 = 2 and 3 x 1 + 2 x 2 = 5 3) Find the overall transfer function C ( s ) R ( s ) of the following systems using the Mason’s gain for-mula: G 1 G 2 G 3 H 2 H 1 H 3 (a) R(s) + _ + _ + _ C(s) (b ) G 1 G 2 G 3 H 2 H 1 H 3 R(s) + _ + + + + C(s) + + 4) Find the overall transfer function C ( s ) R ( s ) of the system shown below. 1...
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