The state variable formulation of a system is given asThe system is
controllable but not observable
not controllable but observable
both controllable and observable
both not controllable and not observable
When the Newton-Raphson method is applied to solve the equation f (x) = x3 + 2x -1= 0, the solution at the end of the first iteration with the initial guess value as x0 = 1.2 is
Three capacitors C1, C2, and C3, whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2Vrespectively.
For the interconnection shown, the maximum safe voltage in Volts that can be applied across the combination and the corresponding total charge in μC stored in the effective capacitance across the terminals are respectively
2.8 and 32
2.8 and 36
7 and 80
7 and 119
In the circuit shown below, the knee current of the ideal Zener diode is 10 mA. To maintain 5 V across RL, the minimum value of RL in Ω and the minimum power rating of the Zener diode in mW respectively are
125 and 250
125 and 125
250 and 125
250 and 250
Three moving iron type voltmeters are connected as shownbelow.
Voltmeter readings are V, V1 and V2, asindicated.
The correct relation among the voltmeter readings is
V = V1/√2 + V2/√2
V = V1V2
V = V2 - V1
V = V1 + V2
The angle δ in the swing equation of a synchronous generator is the
angular displacement of an axis fixed to the rotor with respect to a synchronously rotating axis.
angular displacement of the stator mmf with respect to a synchronously rotating axis.
angular displacement of the rotor with respect to the stator.
angle between stator voltage and current.
For a periodic signal v(t) = 30 sin100t + 10 cos 300t + 6 sin
(500t + π /
4) , the fundamental frequency in rad/s is
The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is
A single-phase load is supplied by a single-phase voltagesource.
If the current flowing from the load to the source is 10∠-150oA and if the voltage at the load terminals is 100∠60o V, then the
load absorbs real power and delivers reactive power.
load absorbs real power and absorbs reactive power.
load delivers real power and absorbs reactive power.
load delivers real power and delivers reactive power.
A 4-pole induction motor, supplied by a slightly unbalanced three-phase 50 Hz source, is rotating at 1440rpm.
The electrical frequency in Hz of the induced negative sequence current in the rotor is
A function y = 5x2 +10 x is defined over an open interval x =
. At least at one point in this interval, dy/dx is exactly
The impulse response of a continuous time system is given by h(t) = δ(t -1) + δ(t -
. The value of the step response at t = 2 is
The state variable formulation of a system is given asThe response y (t) to a unit step input is
1 - 1/2 e-2t - 1/2 e-2t
1/2 - 1/2 e-2t
1 - e-t
e-2t - e-t
Leakage flux in an induction motor is
flux that links both stator and rotor windings
flux that leaks through the machine
flux that links the stator winding or the rotor winding but not both
flux that links none of the windings
Assuming zero initial condition, the response y (t) of the system given below to a unit step input u (t) is
A source vs (t) = V cos 100 πt has an internal impedance of
(4 + j3)Ω . If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in Ω should be
Thyristor T in the figure below is initially off and is triggered with a single pulse of width 10 μs. It is given that L =
(100/π)μ H and C =
(100/π)μ F Assuming latching and holding currents of the thyristor are both zero and the initial charge on C is zero, T conducts for
Consider a delta connection of resistors and its equivalent star connection as shownbelow.
If all elements of the delta connection are scaled by a factor k, k > 0, the elements of the corresponding star equivalent will be scaled by a factor of
The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage VWX1 = 100V is applied across WX to get an open circuit voltage VYZ1 across YZ. Next, an ac voltage VYZ2 = 100V is applied across YZ to get an open circuit voltage VWX2 across WX. Then, VYZ1/VWX1, VWX2/VYZ2 are respectively,
100/100 and 100/100
125/100 and 80/100
100/100 and 80/100
80/100 and 80/100
In the figure shown below, the chopper feeds a resistive load from a batterysource.
MOSFET Q is switched at 250 kHz, with a duty ratio of 0.4. All elements of the circuit are assumed to beideal.
The PEAK-TO-PEAK source current ripple in Amps is
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