Section A
Q1.
(a) For the circuit shown in the figure below, derive the expression for output voltage and sketch the nature of the output when V2 = 10 V and V1 = 5 V.
(b) A continuous LTIV system S with frequency response H(jOmega) is constructed by cascading two continuous-time LTIV systems with frequency response H1(jOmega) and H2(jOmega), respectively. Figures a and b show the straight-line approximations of Bode magnitude plots of H1(jOmega) and H(jOmega), respectively. Find H2(jOmega).
(c)
Consider a three-phase induction motor with the following parameters :
Number of poles : 4
Supply frequency : 50\ \mathrmHz
Full load speed : 1470 rpm
Rotor resistance : 0.12 \ \Omega
Standstill reactance : 1.12 \ \Omega
Find the
(i) Slip for maximum torque
(ii) Ratio of maximum torque to full load torque.