The characteristic equation of a model transfer function determined for a particular second order system is...
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The characteristic equation of a model transfer function determined for a particular second order system is p² + 24p + 169 = 0 (i) Plot the poles of the model on an Argand diagram (ii) Determine the coefficient of damping of the system (iii) Determine the system's damped frequency of oscillation (iv) Analysis of the model reveals that the 24 should in fact be 26; what effect will this have on the model's response to a step input? (5 marks) (b) Determine the transfer function for the circuit shown in Figure 12, relating the voltage across C₂ with the input voltage, V₁. V₁ R₁ C₁ FIGURE 12 R₂ C₂ The characteristic equation of a model transfer function determined for a particular second order system is p² + 24p + 169 = 0 (i) Plot the poles of the model on an Argand diagram (ii) Determine the coefficient of damping of the system (iii) Determine the system's damped frequency of oscillation (iv) Analysis of the model reveals that the 24 should in fact be 26; what effect will this have on the model's response to a step input? (5 marks) (b) Determine the transfer function for the circuit shown in Figure 12, relating the voltage across C₂ with the input voltage, V₁. V₁ R₁ C₁ FIGURE 12 R₂ C₂
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