GATE 1993 Electrical Engineering

Given the differential equation $${y^1} = x - y$$ with initial condition $$y(0)=0.$$ The value of $$y(0.1)$$ calculated numerically upto the third place of decimal by the $${2^{nd}...

A three phase slip ring induction motor is fed from the rotor side with stator winding short circuited. The frequency of the currents flowing in the short circuited stator is

The line integral of the vector potential A around the boundary of a surface S represents

A chopper operating at a fixed frequency is feeding an $$R$$-$$L$$ load. As the duty ratio of the chopper is increased from $$25\% $$ to $$75\% $$, the ripple in the load current

A $$220/440$$ $$V,$$ $$50$$ $$Hz$$ single phase transformer operates on $$220$$ $$V,$$ $$40$$ $$Hz$$ supply with secondary winding. Then

The thermal resistance between the body of a power semiconductor device and the ambient is expressed as

A $$10$$ bit $$A/D$$ converter is used to digitize an analog signal in the $$0$$ to $$5$$ $$V$$ range. The maximum peak to peak ripple voltage that can be allowed in the $$D.C.$$ s...

A three phase alternator has negligible stator resistance. A short circuit test is conducted on this alternator. At a particular speed a field current of $${{\rm I}_f}$$ is require...

Signal flow graph is used to obtain the

The transfer function for the state variable representation $$\mathop X\limits^ \bullet = AX + BU,\,\,Y = CX + DU,$$ is given by

A three phase overhead transmission line has its conductors horizontally spaced with spacing between adjacent conductors equal to 'd'. If now the conductors of the line are rearran...

Two $$550$$ $$kVA$$ alternators operate in parallel to supply the following loads $$(i)$$ $$250$$ $$kW$$ at $$0.95$$ power factor lag $$(ii)$$ $$100$$ $$kW$$ at $$0.8$$ power facto...

Consider a second order system whose state space representation is of the form $$\mathop X\limits^ \bullet = AX + BU.$$ If $$\,{x_1}\,\,\left( t \right)\, = {x_2}\,\left( t \right)...

In load flow analysis, the load connected at a bus is represented as

Three devices $$A,$$ $$B$$ and $$C$$ have to be connected to a $$8085$$ microprocessor. Device $$A$$ has highest priority and device $$C$$ has the lowest priority. In this context...

A synchronous motor operates at $$0.8$$ $$p.f.$$ lagging. If the field current of the motor is continuously increased $$(1)$$ the power factor decreases upto a certain value of fie...

The transient stability of the power system can be effectively improved by

When a line commutated converter operates in the inverter mode

$$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is given by

A $$CRO$$ screen has ten divisions on the horizontal scale. If a voltage signal $$5$$ $$sin$$$$\left( {314t + {{45}^ \circ }} \right)$$ is examined with a line base setting of $$5$...

V RN , V YN and V BN are the instantaneous line to neutral voltages and i R , i Y and i B are instantaneous line currents in a balanced three-phase circuit, the computation, V RN (...

A metal strain gauge has gauge factor of two, it's nominal resistance is $$120$$ Ohms. It is undergoes a strain of $${10^{ - 5}},$$ the value of change of resistance in response to...