GATE 2017-2018 :: GATE EEE
- Square roots of -i , where i = √-1, are
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The equation
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A strain gauge forms one arm of the bridge shown in the figure below and has a nominal resistance without any load as Rs = 300Ω. Other bridge resistances are R1 = R2 = R3 = 300Ω. The maximum permissible current through the strain gauge is 20 mA. During certain measurement when the bridge is excited by maximum permissible voltage and the strain gauge resistance is increased by 1% over the nominal value, the output voltage V0 in mV is
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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
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The open-loop transfer function of a dc motor is given as w(s)/Va(s) = 10/(1 + 10 s). When connected in feedback as shown below, the approximate value of Ka that will reduce the time constant of the closed loop system by one hundred times as compared to that of the open-loop system is
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In the circuit shown below, if the source voltage Vs = 100∠53.13o V then the Thevenin's equivalent voltage in Volts as seen by the load resistance RL is
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Three capacitors C1, C2, and C3, whose values are 10μF, 5μF, and 2μF respectively, have breakdown voltages of 10V, 5V, and 2V respectively. 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
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A voltage 1000 sin wt Volts is applied across YZ. Assuming ideal diodes, the voltage measured across WX in Volts is
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The separately excited dc motor in the figure below has a rated armature current of 20 A and a rated armature voltage of 150 V. An ideal chopper switching at 5 kHz is used to control the armature voltage. If La = 0.1 mH, Ra= 1Ω , neglecting armature reaction, the duty ratio of the chopper to obtain 50% of the rated torque at the rated speed and the rated field current is
- For a power system network with n nodes, Z33 of its bus impedance matrix is j0.5 per unit. The voltage at node 3 is 1.3 ∠-10o per unit. If a capacitor having reactance of “j3.5 per unit is now added to the network between node 3 and the reference node, the current drawn by the capacitor per unit is
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