Electrical Engineering GATE 2024 Questions with Answer

Ques 40 Machines

The single line diagram of a lossless system is shown in the figure. The system is operating in steady-state at a stable equilibrium point with the power output of the generator being P_max sin δ, where δ is the load angle and the mechanical power input is 0.5P_max. A fault occurs on line 2 such that the power output of the generator is less than 0.5P_max during the fault. After the fault is cleared by opening line 2, the power output of the generator is (P_max/√2) sin δ. If the critical fault clearing angle is π/2 radians, the accelerating area on the power angle curve is _______ times P_max. (rounded off to 2 decimal places)

Ques 41 Networks

The number of junctions in the circuit is _______.

Ques 42 Networks

All the elements in the circuit are ideal. The power delivered by the 10 V source in watts is _______.

Ques 43 Networks

The circuit shown in the figure with the switch S open is in steady state. After the switch S is closed, the time constant of the circuit in seconds is _______.

Ques 44 Networks

The figure shows the single line diagram of a 4-bus power network. Branches b₁, b₂, b₃, and b₄ have impedances 4z, z, 2z, and 4z per-unit (pu), respectively, where z=r+jx with r>0 and x>0. The current drawn from each load bus (marked as arrows) is equal to I pu, where I≠0. If the network is to operate with minimum loss, the branch that should be opened is _______.

Ques 45 Networks

For the block-diagram shown in the figure, the transfer function C(s)/R(s) is _______.

Ques 46 Networks

The table lists two instrument transformers and their features: Instrument Transformers Features P) Primary is connected in parallel to the grid X) Current Transformer (CT) Q) Open circuited secondary is not desirable Y) Potential Transformer (PT) R) Primary current is the line current S) Secondary burden affects the primary current.

Ques 47 Networks

Two passive two-port networks P and Q are connected as shown in the figure. The impedance matrix of network P is Z_p=[[40 Ω,60 Ω],[80 Ω,100 Ω]].
The admittance matrix of network Q is Y_Q=[[5 S,-2.5 S],[-2.5 S,1 S]]. Let the ABCD matrix of the two-port network R in the figure be [[α,β],[γ,δ]].
The value of α in Ω is _______. (rounded off to 2 decimal places)

Ques 48 Networks

For the circuit shown in the figure, the source frequency is 5000 rad/sec. The mutual inductance between the magnetically coupled inductors is 5 mH with their self inductances being 125 mH and 1 mH. The Thevenin's impedance, Z_th, between the terminals P and Q in Ω is _______. (rounded off to 2 decimal places)

Ques 49 Power Electronics

If the following switching devices have similar power ratings, which one of them is the fastest?

Ques 50 Power Electronics

A single-phase triac based AC voltage controller feeds a series RL load. The AC supply is 230 V, 50 Hz. The values of R and L are 10 Ω and 18.37 mH, respectively. The minimum triggering angle of the triac to obtain controllable output voltage is _______.

Ques 51 Power Electronics

A forced commutated thyristorized step-down chopper is shown in the figure. Neglect the ON-state drop across the power devices. Assume that the capacitor is initially charged to 50 V with the polarity shown in the figure. The load current (I_L) can be assumed to be constant at 10 A. Initially, Th is ON and Th_A is OFF. The turn-off time available to The in microseconds, when Th_A is triggered, is _______. (rounded off to the nearest integer)

Ques 52 Power Electronics

A single-phase half-controlled bridge converter supplies an inductive load with ripple free load current. The triggering angle of the converter is 60°. The ratio of the rms value of the fundamental component of the input current to the rms value of the total input current of the bridge is _______. (rounded off to 3 decimal places)