Q. Consider a non-singular 2×2 square matrix A . If trace(A) = 4 and trace(A2 ) = 5 , the determinant of the matrix A is__________(up to 1 decimal place). Ans: 5.5 Sol:
Consider a non-singular 2×2 square matrix A . If trace(A) = 4 and trace(A2 ) = 5 Read More »
Q. In the logic circuit shown in the figure, Y is given by (A) Y = ABCD (B) Y = (A + B)(C + D) (C) Y = A + B + C + D (D) Y = AB + CD Ans: Y = AB + CD
In the logic circuit shown in the figure, Y is given by Read More »
Q. The value of the directional derivative of the function 𝛷(𝑥, 𝑦, 𝑧) = 𝑥𝑦2 + 𝑦𝑧2 + 𝑧𝑥2 at the point (2, -1, 1) in the direction of the vector 𝐩 = 𝐢 + 2𝐣 + 2𝐤 is (A) 1 (B) 0.95 (C) 0.93 (D) 0.9 Ans: 1 Sol:
The value of the directional derivative of the function 𝛷(𝑥, 𝑦, 𝑧) = 𝑥𝑦2 + 𝑦𝑧2 + 𝑧𝑥2 Read More »
Q. In the figure, the voltages are 𝑣1(𝑡) = 100cos(𝜔𝑡), 𝑣2(𝑡) = 100cos(𝜔𝑡 + 𝜋/18) and 𝑣3(𝑡) = 100cos(𝜔𝑡 + 𝜋/36). The circuit is in sinusoidal steady state, and 𝑅 << 𝜔𝐿. 𝑃1, 𝑃2 and 𝑃3 are the average power outputs. Which one of the following statements is true? (A) 𝑃1 = 𝑃2 = 𝑃3
In the figure, the voltages are 𝑣1(𝑡) = 100cos(𝜔𝑡), 𝑣2(𝑡) = 100cos Read More »
Q. The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is (A) 11 (B) 12 (C) 13 (D) 14 Ans: 12
Q. Two wattmeter method is used for measurement of power in a balanced three-phase load supplied from a balanced three-phase system. If one of the wattmeters reads half of the other (both positive), then the power factor of the load is (A) 0.532 (B) 0.632 (C) 0.707 (D) 0.866 Ans: 0.866 Sol: In two Wattmeter
Q. Four power semiconductor devices are shown in the figure along with their relevant terminals. The device(s) that can carry dc current continuously in the direction shown when gated appropriately is (are) A. Triac only B. Triac and MOSFET C. Triac and GTO D. Thyristor and Triac Ans: Triac and MOSFET
Q. A single phase fully controlled rectifier is supplying a load with an anti-parallel diode as shown in the figure. All switches and diodes are ideal. Which one of the following is true for instantaneous load voltage and current? Ans:
Q. In a salient pole synchronous motor, the developed reluctance torque attains the maximum value when the load angle in electrical degrees is (A) 0 (B) 45 (C) 60 (D) 90 Ans: 45°
Q. A single-phase 100 kVA, 1000 V / 100 V, 50 Hz transformer has a voltage drop of 5% across its series impedance at full load. Of this, 3% is due to resistance. The percentage regulation of the transformer at full load with 0.8 lagging power factor is (A) 4.8 (B) 6.8 (C) 8.8 (D)
