EE 230 HW 3 Spring 2010

# EE 230 HW 3 Spring 2010 - b Determine the 3dB band edge of...

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EE 230 Assignment 3 Spring 2010 Problem 1 A system has a transfer function with no zeros, a single pole at s = -6, and a dc gain of 9. a) Write the transfer function b) Determine the response to a step of 5u(t). Assume the output prior to t =0 is 0. Problem 2 A linear system has a transfer function of 9 3 2 20 2 + + + = s s s s T ) ( a) Determine the poles and zeros of the transfer function b) Plot the poles and zeros in the s-plane Problem 3 Determine which of the following transfer functions correspond to a stable system. State how you drew the conclusion. a) () () () () ( ) ( ) j s j s s s s s T 2 2 2 2 8 1 1 10 + + + = b) () 6 18 3 10 2 3 2 + + + + + = s s s s s s T c) () 1 4 20 9 3 3 + + + + = s s s s T d) () 10 10 + = s s T Problem 4 Determine which of the following circuits are stable. State how you drew the conclusion (a) (b) Page 1 of 2

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(c) Problem 5 A system has transfer function () 2 5 + = s s T . a) If a step input of 4u(t) is applied at the input, determine the final output.
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Unformatted text preview: b) Determine the 3dB band edge of this system Problem 6 Design a circuit that has a voltage transfer function with one pole at s=-5. You may use resistors, capacitors, inductors and both dependent and independent sources in your design. Problem 7 Design a circuit that has a dc gain of 1/3 and a pole at s = -10. You may use resistors, capacitors, inductors and both dependent and independent sources in your design. Problem 8 Design a circuit that has a lowpass transfer function with a 3dB band edge of 30Hz. You may use resistors, capacitors, inductors and both dependent and independent sources in your design. Problem 9 Problem 1.39 of Sedra and Smith Problem 10 Problem 1.41 of Sedra and Smith Page 2 of 2...
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EE 230 HW 3 Spring 2010 - b Determine the 3dB band edge of...

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