GATE 2020: Toppers Quiz 5 (App update required to attempt this test)

A 6 pole, 50 Hz, 3-phase wound rotor induction motor has its maximum torque of 250 percent of full load torque at 18 % slip. The rotor resistance per phase is 1.0 Ω at 50 Hz. The input supply voltage is subjected to large fluctuations. Determine the minimum voltage that could be impressed so that motor can still supply its rated torque.

The realization for a lead network is shown below:

The transfer function of the network is

The value of α is

Design a circuit to detect a number that uses the upper right segment of the seven segment display in a 4-bit BCD input?

Field is given as . The coordinate of the points O, P & Q one given in Cartesian coordinate system. Evaluate the line integral as along the path OPQ.

An N-channel FET with V_P = –2V and I_DSS = 1.75 mA is used in the amplifier as shown. Using a drain-source supply V_DD = 24V, it is desired to bias the circuit at I_D = 1 mA. Find V_GS, g_m and R_s.

Two signals x₁ (t) and x₂ (t) are given as

x₁ (t) = 6 sin c (100t) cos (200 π t)

x₂ (t) = 10 sin c ²(100 t)

If Nyquist sampling rate for x₁ (t) and x₂ (t) are N₁ and N₂ respectively, the r a+ b N₁/N₂ is _________

A 3 core 33 kV cable supplies a maximum loading of 300 kVA capital cost of conductor is Rs 20000. Reistance per km of a conductor of 1 cm² cross section of 0.153. and for load factor of 50%.
Find economic current density [in Amp.cm²] if area of cross section

A 3 phase full converter charges a battery from a three phase supply of 230V, 50Hz. The battery emf is 200V and its internal resistance is 0.5Ω. On account of inductance connected with the battery charging current is constant at 20A. Compute the supply power factor.

_______ lag.