Question

Figure 4 shows a block diagram of a system with series, parallel and feedback connections. +\\ x(t)---\\ cos3t -e<sup>-4t</sup> ?2?(t)? y(t) 3e<sup>2t</sup> Figure 4: System with series, parallel and feedback i) Determine the Laplace Transform for each signal and redraw the block diagram. [6 marks] ii) Find the transfer function, H(s). [6 marks]

          Figure 4 shows a block diagram of a system with series, parallel and feedback
connections.
+\\
x(t)---\\
cos3t
-e<sup>-4t</sup>
?2?(t)? y(t)
3e<sup>2t</sup>
Figure 4: System with series, parallel and feedback
i) Determine the Laplace Transform for each signal
and redraw the block diagram.
[6 marks]
ii) Find the transfer function, H(s).
[6 marks]

Figure 4 shows a block diagram of a system with series, parallel and feedback
connections.
+

x(t)—

cos3t
-e<sup>-4t</sup>
?2?(t)? y(t)
3e<sup>2t</sup>
Figure 4: System with series, parallel and feedback
i) Determine the Laplace Transform for each signal
and redraw the block diagram.
[6 marks]
ii) Find the transfer function, H(s).
[6 marks]

Added by George H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nicholas Mogoi

Step 1

Determine the Laplace Transform for each signal: a) x(t) cos(3t): The Laplace Transform of x(t) cos(3t) can be found using the property of the Laplace Transform: L{cos(at)} = s / (s^2 + a^2) Therefore, the Laplace Transform of x(t) cos(3t) is: L{x(t) cos(3t)} = Show more…

Show all steps

Thanks for your feedback!

Figure 4 shows a block diagram of a system with series, parallel, and feedback connections. x(t) cos(3t) 28t ylt) Figure 4: System with series, parallel, and feedback. Determine the Laplace Transform for each signal [6 marks] and redraw the block diagram. Find the transfer function, H(s). [6 marks] 3e^(2t)