tutorial2 - E Q4 Determine the current i of the RC network...

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EE3118 Linear Systems and Signal Analysis KST SemA 2008/09 Tutorial 2 Q1. Write down the differential equation of the following network and determine the current i with a sinusoidal voltage input ( ) t V v m ω sin = by solving the differential equation. Q2. A mass-spring-damper system can be formulated as ) ( ) ( ) ( ) ( 2 2 t x t Ky dt t dy D dt t y d M = + + where x(t) is the external force, y(t) is the displacement of the mass M , K and D are the spring and damper constant, respectively. If an external force ( ) t A t x ω cos ) ( = is applied, determine the displacement of the mass. Q3. Determine the current i(t) of the below RC network when a step function is input (the amplitude of the step is
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Unformatted text preview: E ). Q4. Determine the current i of the RC network in Q3 if an impulse function is applied. Q5. A linear time-invariant continuous-time has impulse response ( ) ) sin( t e t h t + = − for ≥ t Using the convolution integral to determine its response when the input is a unit step function. Q6. The impulse response h(t) of a linear time-invariant continuous-time system is shown in Fig.Q6(a). Determine the response of the system to the input shown in Fig.Q6(b). (a) (b) Figure Q6. (a) impulse response of a system (b) an rectangular input h(t) 1 4 t x(t) 1 2 t M...
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