GATE EE 2002
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## GATE EE

The cut in voltage of both Zener diode $${D_z}$$ and diode $$D$$ shown in Figure is $$0.7$$ $$V,$$ while break down volt
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The forward resistance of the diode shown in figure is $$5\Omega$$ and the remaining parameters are same as those of id
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A diode whose terminal characteristics are related as $${i_D} = {{\rm I}_S}\,{e^{{V \over {{V_T}}}}},\,$$ where $${{\rm View Question In the single phase diode bridge rectifier shown in the figure, the load resistor is$$R = 50\,\Omega .$$The source vol View Question For the circuit shown in Figure,$${{\rm I}_E} = 1\,\,mA,\,\,\,\beta = 99$$and$${V_{BE}} = 0.7\,\,V$$determine (a) C View Question The output voltage$$\left( {{V_0}} \right)$$of the Schmitt trigger shown in figure swings between$$+15V$$and$$–15V.View Question Determine the transfer function $$\left( {{{{V_y}} \over {{V_x}}}} \right)$$ for the $$RC$$ network shown in figure $$(1 View Question The transfer function of the system described by$${{{d^2}y} \over {d{t^2}}} + {{dy} \over {dt}} = {{du} \over {dt}} + 2 View Question A unity feedback system has an open loop transfer function, $$G\left( s \right) = {K \over {{s^2}}}.$$ The root locus p View Question The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = {{2\left( {s + \alpha } \ri View Question The state transition matrix for the system$$\mathop X\limits^ \bullet = AX\,\,$$with initial state$$X(0)$$is View Question For the system$$X = \left[ {\matrix{ 2 &amp; 3 \cr 0 &amp; 5 \cr } } \right]X + \left[ {\matrix{ 1 \cr View Question For the system $$\mathop X\limits^ \bullet = \left[ {\matrix{ 2 &amp; 0 \cr 0 &amp; 4 \cr } } \right]X + View Question Obtain a state variable representation of the system governed by the differential equation:$${{{d^2}y} \over {d{t^2}}} View Question For the circuit shown in Fig. the Boolean expression for the output $$Y$$ in terms of inputs $$P,$$ $$Q,$$ $$R$$ and $$S View Question The frequency of the clock signal applied to the rising edge triggered$$D$$flip-flop shown in Fig. is$$10kHz.$$View Question The ripple counter shown in Fig. is made up negative edge triggered$$J$$-$$E$$flips flops. The signal levels at$$J$$View Question The logic circuit used to generate the active low chip select$$(CS)$$by an$$8085$$microprocessor to address a periph View Question When a program is being executed in an$$8085$$microprocessor, its Program Counter contains View Question In the resistor network shown in Fig. all resistor values are$$1\,\,\Omega .A$$current of$$1A$$passes from term View Question The graph of an electrical network has$$N$$nodes and$$B$$branches. The number of links,$$L$$, with respect to the c View Question An electrical network is fed by two$$ac$$sources, as shown in Fig. Given that$${Z_1} = \left( {1 - j} \right)\Omega View Question Consider the circuit shown in Fig. If the frequency of the source is $$50$$ $$Hz,$$ then a value of $${t_0}$$ which resu View Question An $$11$$ $$V$$ pulse of $$10$$ $$µ$$s duration is applied to the circuit shown in Fig. Assuming that the capacitor is c View Question A constant current source is supplying $$10A$$ to a circuit shown in Fig. the switch $$S,$$ which is initially closed fo View Question In the circuit shown in Fig. what value of $$C$$ will cause a unity power factor at the $$ac$$ source? View Question A series $$R-L-C$$ circuit has $$R = 50\Omega ;$$ $$L=100$$ $$\mu H$$ and $$C = 1\,\,\mu F.$$ The lower half power freq View Question In the circuit shown in Fig. it is found that the input $$ac$$ voltage $$\left( {{V_i}} \right)$$ and current $$i$$ are View Question A first order, low pass filter is given with $$R = 50\,\,\Omega$$ and $$C$$ $$= 5\mu F.$$ What is the frequency at wh View Question A two $$-$$ port network, shown in Fig. is described by the following equations: \eqalign{ &amp; {{\rm I}_1} = {Y_{1 View Question Kelvin double bridge is best suited for the measurement of View Question The line to line input voltage to the3$$phase,$$50$$Hz, ac circuit shown in fig is$$100Vr.m.s$$Assumin View Question Two in-phase, 50Hz sinusoidal waveform of unit amplitude are fed into channel-1. and channel-2 respectively of an oscill View Question A dc series motor fed from rated supply voltage is overloaded and its magnetic circuit is saturated. The torque-speed ch View Question A 200 V, 2000 rpm, 10A, separately excited d.c. motor has an armature resistance of 2$$\Omega$$. Rated d.c. voltage is View Question A 1 kVA, 230V/100V, single phase, 50 Hz transformer having negligible winding resistance and leakage inductance is opera View Question A 400V/200V/200V, 50 Hz three winding transformer is connected as shown in Figure. The reading of the voltmeter 'V' will View Question If a 400 V, 50 Hz, star connected, 3 phase squirrel cage induction motor is operated from a 400 V, 75 Hz supply, the tor View Question The flux per pole in a synchronous motor with the field circuit ON and the stator disconnected from the supply is found View Question A$$415V,2$$pole,$$3$$phase,$$50Hz,$$star connected, non-salient pole synchronous motor has synchron View Question A$$230V,250rpm.100A$$separately excited$$dc$$motor has an armature resistance of$$0.5\,\Omega .$$Th View Question In a single phase$$3$$winding transformer the turns ratio for primary: secondary: tertiary windings is$$20:4:1.$$Wit View Question A single phase$$6300kVA,50Hz,3300V/400V$$distribution transformer is connected between two$$50$$View Question Given a vector field$$\overrightarrow F ,$$the divergence theorem states that View Question The magnetic vector potential in a region is defined by$$\overrightarrow A = {e^{ - y}}\sin \left( x \right){\widehat View Question The determinant of the matrix $$\left[ {\matrix{ 1 &amp; 0 &amp; 0 &amp; 0 \cr {100} &amp; 1 &amp; 0 &amp; 0 \c View Question Given a vector field$${\overrightarrow F ,}$$the divergence theorem states that View Question Let$$Y(s)$$be the Laplace transform of function$$y(t),$$then the final value of the function is __________. View Question A six pulse thyristor rectifier bridge is connected to a balanced$$50Hz$$three phase$$ac$$source. Assuming that the View Question A three phase thyristor bridge rectifier is used in a$$HVDC$$link. The firing angle$$\alpha $$(as measured from the View Question In the single phase diode bridge rectifier shown in fig, the load resistor is$$R = 50\Omega .$$The source voltage is View Question A step down chopper is operated in the continuous conduction mode in steady state with a constant duty ratio$$D.$$If View Question In the chopper circuit shown in fig the input$$dc$$voltage has a constant value$${{V_s}}$$. the output voltage$${{V_ View Question In fig, the ideal switch $$S$$ is switched on and off with a switching frequency $$f = 10 kHz.$$ The switching time peri View Question Fig. $$(a)$$ shows an inverter circuit with a $$dc$$ source voltage $${V_{s}}$$. The semiconductor switches of the inver View Question Consider a long, two-wire line composed of solid round conductors. The radius of both conductors is $$0.25$$ cm and the View Question A long wire composed of a smooth round conductor runs above and parallel to the ground (assumed to be a large conducting View Question A long lossless transmission line has a unity power factor (UPF) load at the receiving end and an ac voltage source at t View Question A transmission line has a total series reactance of 0.2 pu. Reactive power compensation is applied at the midpoint of th View Question A synchronous generator is to be connected to an infinite bus through a transmission line of reactance X = 0.2 pu, as sh View Question A generator is connected to a transformer which feeds another transformer through a short feeder. The zero sequence impe View Question Consider the problem of relay co-ordination for the distance relays $$R1$$ and $$R2$$ on adjacent lines of a transmissio View Question Consider a power system with three identical generators. The transmission losses are negligible. One generator ($$G1$$) View Question A power system consists of 2 areas (Area 1 and Area 2) connected by a single tie line (figure). It is required to carry View Question Two transposed $$3$$ phase lines run parallel to each other. The equation describing the voltage drop in both lines is View Question Let Y(s) be the Laplace transformation of the function y(t), then the final value of the function is View Question $$s(t)$$ is step response and $$h(t)$$ is impulse response of a system. Its response $$y(t)$$ for any input $$u(t)$$ is View Question Fourier Series for the waveform, $$f(t)$$ shown in Fig. is View Question What is the $$rms$$ value of the voltage waveform shown in Fig? View Question A single input single output system with $$y$$ as output and $$u$$ as input, is described by{{{d^2}y} \over {d{t^2}
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