Question

1. Answer the following questions: (15 + 20 marks) (a) Do the Laplace transform of the following system functions: d'x(t) +-+1 (b) What are the assumptions of ideal Op-Amps? Explain each of these assumptions. nndom errors but it is known that the data

Answer 1

Slew Rate: It is defined as the change in output voltage with respect to time The slow Rate of Ideal op amp is infinity SR = infinity output offset (v_offset): - The output offset voltage of ideal opamp is zero which means it applied input is zero then output also equal to zero v_offset = 0 cmRR of Ideal op amp is infinity Ideal op amp is highly reject the common mode inputs cmRR = infinity \r\n (a) (i) y (t) = 2 d^2/d t^2 x (t) + d x (t)/dt + 1 y (s) = 2 s^2 x (s) + s x (s) + 1/s (ii) v (t) = 3 t + t e^2 t + integral x (t) dt v (s) = 3/s^2 + 1/(s - 2)^2 + x (s)/s (b) Assumptions of Ideal op amp (i) open loop gain of ideal op amp is infinity which can produces the infinity gain A_OL = infinity (ii) Input Resistance of Ideal op amp is infinity so there is no current flowing