MTH 425 Lecture Notes - Lecture 4: Block Diagram

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Electrical network transfer functions: example: (previous example using the impedance method): transfer. (step 4) write the mesh equation using the impedance as we would resistance: Subbing , the voltage across the capacitor, and simplifying yields the same result as before: Example: find the transfer function, i (s)/v(s), of the following network: (steps 1-3) convert the above network into laplace-transformed network: Electrical network transfer functions: example (cont, (step 4) sum voltages around each mesh through which the currents, flows, by combining terms, the above become simultaneous equations: and. 2: (step 5) use cramer"s rule or any other way to solve for i (s): where: Electrical network transfer functions: example (cont, form the transfer function, g(s), which can be displayed in block diagram format as: Electrical network transfer functions: example (cont, we observe a pattern, we will be utilizing these patterns for other systems in the future. Electrical network transfer functions: time-efficient problem-solving technique.

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