RE: ELECTRICAL ENGINEERING PAPERI

ELECTRICAL ENGINEERING PAPER – I
ENGINEERING PAPER – I.pdf (Size: 196.5 KB / Downloads: 36)
1. (a) Show that Thevenin’s and Norton’s theorems are dual to each other Determine the voltage
across 3ohm resistor for the circuit shown in Fig. I below using Thevenin’s theorem
(b) A large consumer of electricity requires 10 kW, 230 V r.m.s of power at a power factor angle
of 60° lagging through a transmission line of resistance 0.1 ohm. Determine the power
produced by the utility to meet the load demand. If the consumer corrects his power factor
from 0.5 to 0.9 lagging, what power the utility has to produce to meet the load demand?
© Explain what you understand by voltagedependent current source and currentdependent
current source. For the circuit shown in Fig. 2, determine the currents i1, i2 and i3 using nodal
analysis.
2. (a) Why is it necessary to truncate a Taylor series expansion of a nonlinear function after the
first term, if the linear approximation is desired?
What do you understand by describing function of a nonlinear system? Stale its limitations
(b) Show that a highC coil resonant circuit can be approximated as shown in Fig 3
© Point out the necessary and sufficient conditions for positive real function Justify that the
following function can be driving point impedance reactive network
3. (a) Find the steadystate error in the output of any Linear control system with unity feedback
when the input is given by
r(t) = r0 + r1t + r2t2.
(b) Write down the state equations and hence develop a state variable representation for the RLC
network shown in Fig. 5 below.
© The characteristic equation for a certain closedloop digital control system is given as follows
P(z) = 1 + 04 z 1  0.69 z 2  0.256 z 3 + 0.32 z4 = 0
Determine whether this system is stable or not using Jury’s stability test. 

